MA-COM AG314

AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
INTRODUCTION
Many microwave and RF systems require the frequency of a signal to be translated to a higher or
lower frequency. Also, there are applications for the generation of a relatively low frequency voltage or current that is proportional to the amplitude of a higher frequency signal. The properties of
a Schottky diode can be exploited to perform these tasks.
This application note is a survey of the physical and electrical characteristics of Schottky mixer
and detector diodes. It reviews the semiconductor and electrical properties of these diodes and
illustrates how they are used in a number of receiving circuits. It also presents a number of tables
and criteria to select an appropriate Schottky diode depending on the requirement of the mixer or
receiving system.
This application note is divided into eight sections:
I.
A discussion of the fundamentals of Schottky diodes including the physics of Schottky junctions
and their characteristics such as resistance, capacitance and barrier heights. These properties
ultimately determine the performance of all mixer and detector diodes.
II.
A discussion of the principles of variable resistance mixer diodes and the diodes' RF properties
such as noise figure, conversion loss and impedance.
III.
A discussion of the principles of detector diodes and their RF properties such as sensitivity and
video resistance.
IV.
A comparison of the differences in mixers and detectors when used in receivers.
V.
A discussion of common mixer, modulator and multiplier circuits which use Schottky diodes.
Some of the advantages and disadvantages of different circuits are discussed.
VI.
A glossary containing definitions of the major terms used in discussing mixer and detector circuits and mixer and detector diodes.
VII.
Tables and graphs to aid in the selection of an appropriate mixer circuit or diode for a circuit
based on the system's receiver requirements.
VIII.
A Selection Guide to help select the most appropriate microwave diode.
This application note has been the standard Schottky diode reference since it was written in the
mid-1980’s. Since then, the fundamental principles of mixer technology and Schottky junction
physics have not changed, but many of the implementations of these technologies have evolved
and improved. This note has been extensively revised to reflect these advances in diode and
circuit design.
1
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
TABLE OF CONTENTS
I. SCHOTTKY DIODE FUNDAMENTALS……………………………………....…...PG 3
A.
B.
C.
D.
E.
CURRENT VS VOLTAGE RELATION
SCHOTTKY DIODE EQUIVALENT CIRCUIT
TOTAL CAPACITANCE OF A SCHOTTKY DIODE
SERIES RESISTANCE
FIGURE OF MERIT
II. PRINCIPLES OF MIXER DIODES…………………………………………...…..PG15
A.
B.
C.
D.
E.
F.
EQUIVALENT CIRCUIT OF A MIXER DIODE
BASIC MIXER DIODE RF PARAMETERS
NOISE IN MIXER DIODES
OVERALL RECEIVER'S NOISE FIGURE
MIXER DIODE RF IMPEDANCE
MIXER DIODE IF IMPEDANCE
III. PRINCIPLES OF DETECTOR DIODES………………………………………………….PG26
A.
B.
C.
D.
E.
F.
G.
BASIC DETECTOR DIODE CHARACTERISTICS
THE VIDEO DETECTOR
DETECTOR DIODE ELECTRICAL CHARACTERISTICS
NOMINAL DETECTABLE SIGNAL (NDS)
TANGENTIAL SIGNAL SENSITIVITY (TSS)
FIGURE OF MERIT (FM)
VIDEO BANDWIDTH
IV. COMPARISON OF MIXERS AND DETECTORS FOR RECEIVING SYSTEMS…....PG37
A.
CHOICE OF MIXERS VS. DETECTORS
V. MIXER CIRCUITS………………………………………….…………..………..PG38
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.
M.
N.
SINGLE-ENDED MIXERS.
SINGLE BALANCED MIXERS
DOUBLE BALANCED MIXERS
DOUBLE-DOUBLE BALANCED MIXERS
IMAGE REJECT MIXERS
SUBHARMONIC MIXERS
IMAGE RECOVERY MIXERS
PHASE DETECTORS
OTHER RING QUAD APPLICATIONS
BRIDGE QUAD APPLICATIONS
FREQUENCY MULTIPLIERS
QUADRATURE PHASE MODULATORS
FREQUENCY DETERMINATION--A QUADRATURE IF MIXER
SINGLE SIDEBAND MODULATORS
2
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
TABLE OF CONTENTS
VI. DEFINITION OF TERMS USED WITH MIXERS, DETECTORS AND RECEIVING
SYSTEMS………………………………………………………….…………...PG60
A.
B.
C.
D.
E.
FREQUENCY TERMS
TYPES OF MIXERS BY FREQUENCY OUTPUT
MIXER DIODE TERMS (CHARACTERISTICS)
DETECTOR DIODE CHARACTERISTICS
RECEIVER SYSTEM CHARACTERISTICS
VII. TABLES TO AID IN THE SELECTION OF AN APPROPRIATE MIXER OR DIODE FOR
CIRCUIT BASED ON THE SYSTEM’S RECEIVER REQUIREMENTS…………..….PG68
VIII. A SELECTION GUIDE TO HELP SELECT THE MOST APPROPRIATE MICROWAVE
DIODE ……………………..………………………………….……………….PG69
3
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and/or prototype measurements. Commitment to develop is not guaranteed.
Visit www.macomtech.com for additional data sheets and product information.
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Solutions has under development. Performance is based on engineering tests. Specifications are
typical. Mechanical outline has been fixed. Engineering samples and/or test data may be available. M/A-COM Technology Solutions Inc. and its affiliates reserve the right to make
Commitment to produce in volume is not guaranteed.
changes to the product(s) or information contained herein without notice.
AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
I.
Schottky Diode Fundamentals
A Schottky barrier diode uses a rectifying metal-semiconductor junction formed by plating,
evaporating or sputtering one of a variety of metals onto n-type or p-type semiconductor material. Generally, n-type silicon and n-type GaAs are used in commercially available Schottky diodes.
The properties of a forward biased Schottky barrier diode are determined by majority carrier
phenomena. A pn junction diode's properties are determined by minority carriers. Schottky diodes are majority carrier devices that can be switched rapidly from forward to reverse bias without minority carrier storage effects. Because of this characteristic they make superior microwave mixer and detector diodes.
The normal current/voltage (I/V) curve of a Schottky barrier diode resembles that of a pn junction diode with the following exceptions:
1. The reverse breakdown voltage of a Schottky barrier diode is lower and the reverse leakage
current higher than those of a pn junction diode made using the same resistivity semiconductor material.
2. The forward voltage at a specific forward current is also lower for a Schottky barrier diode
than for a pn junction diode. For example, at 2 mA forward bias current a low barrier silicon
Schottky diode will have a forward voltage of ~0.3 volts while a silicon pn junction diode will
have a voltage of ~0.7 volts.
In order to understand the major electrical properties of a Schottky barrier diode, the physics of
the barrier and the current across the barrier must be understood.
Figure 1 shows the electron energy levels in a metal as a function of distance from the surface
of an isolated metal and on an isolated neutral n-type semiconductor with a net negative surface
charge, which explains the curvature of the conduction and valence band energy plots.
In Figure 1a, eψM is the vacuum work function or the potential required to remove an electron
from the Fermi level, WF, to a position outside of the metal. Typical values of eψM are a few
volts. eψM is a constant value for a given, atomically pure metal, but varies with surface contamination.
In Figure 1b, WV and WC are the energy levels of the semiconductor's valence and conduction
bands, respectively. As in the metal, WF is the Fermi level of the semiconductor and is a function of its doping. Note that the Fermi level of the semiconductor is not equal to the Fermi level
of the metal. The energies eχ and eψS are the energies required to remove an electron from
the conduction band and Fermi level respectively to a free position outside the semiconductor.
4
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Figure 1b shows the effect of a net negative surface charge on the semiconductor. The Fermi
level remains a straight, horizontal line as required by equilibrium. The effect of the surface
charge is to bend the energy level of the valence and conduction bands near the semiconductor
surface. Thus, the effect of surface charge is to alter the energy levels at the semiconductor
surface.
Vacuum (energy of free electron)
eχ
eψS
eψM
WC
Electron
Energy
WF
WF
ΔWF
WV
0
Fig. 1a
Distance into metal
0
Fig. 1b
Distance into semiconductor
Figure 1. Energy-Level Diagrams vs. Distance for Metal
and Semiconductor Surfaces in Isolated Equilibrium
A Schottky barrier is formed when materials such as Figures 1a and 1b are brought into direct
contact. The Fermi level or chemical potential of the materials must remain constant across the
junction or interface at zero bias. Initially when the metal and semiconductors are brought into
contact, their Fermi levels are not equal. There will be a net current transport from one material
to the other. Then a potential barrier will form between the materials to make the carrier flow in
each direction equal so that the net current is zero. In this condition the two materials are in thermal and charge equilibrium and the Fermi level is continuous across the junction. The result of
this effect is a Schottky barrier junction.
5
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and/or prototype measurements. Commitment to develop is not guaranteed.
Visit www.macomtech.com for additional data sheets and product information.
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Solutions has under development. Performance is based on engineering tests. Specifications are
typical. Mechanical outline has been fixed. Engineering samples and/or test data may be available. M/A-COM Technology Solutions Inc. and its affiliates reserve the right to make
Commitment to produce in volume is not guaranteed.
changes to the product(s) or information contained herein without notice.
AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Vacuum (Energy of Free Electron)
eψM
Electron
Energy
eχ
eψS
eΦSM
eΦB
WC
WF
W0
WV
Junction
Distance into metal
Figure 2.
Distance into semiconductor
Energy Level Diagram of Metal and Semiconductor After
Contact (Idealized)
Figure 2 shows the energy level diagram for the Schottky barrier junction. Note that a potential
barrier has formed in the semiconductor to adjust the electron flow from metal to semiconductor
and semiconductor to metal. Then an electron in the metal at the Fermi level will encounter a
potential barrier of ΦB. An electron in the conduction band of the semiconductor will see a potential barrier ΦSM. If the metal is atomically pure and the semiconductor does not have a surface charge, the value of fB will be (ψm -χ ). The presence of any impurities or surface charge
on the semiconductor will alter the value ΦB somewhat. The quantity ΦB is often called the
barrier potential or contact potential of a Schottky barrier.
If a voltage is applied to the metal-semiconductor junction in either direction, the Fermi level will
no longer be continuous across the junction. Then the equal and opposite carrier flows which
existed at zero bias will be changed so that a net current will flow in one direction (or the other,
depending on the polarity of the applied voltage). In forward bias, the metal is positive with respect to the semiconductor; the bias will reduce the barrier fSM for electron flow from the semiconductor to the metal, but the barrier for electron flow from the metal to the semiconductor will
remain approximately the same. Thus a net positive current will flow due to the increased flow
of electrons from the semiconductor to the metal.
For reverse bias, with the metal more negative with respect to the n-type semiconductor, the
barrier for electrons flowing from the semiconductor to the metal increases. This almost eliminates this current component. To the first order, in reverse bias, the barrier for electron flow
from the metal to the semiconductor remains constant and represents a net negative current.
The Schottky junction current model described above is called the thermionic emission model.
It depends on energetic electrons crossing a potential barrier. For a complete treatment of
current characteristics in Schottky diodes, the transport mechanism of electrons that quantum
tunnel through a thin barrier must be added to the model.
6
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and/or prototype measurements. Commitment to develop is not guaranteed.
Visit www.macomtech.com for additional data sheets and product information.
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Solutions has under development. Performance is based on engineering tests. Specifications are
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changes to the product(s) or information contained herein without notice.
AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
A.
CURRENT VS VOLTAGE RELATION
The current/voltage (I/V) relationship for a Schottky barrier diode is given by the following
equation known as the Richardson equation.
(1)
qV
I S e nkT
I
qB
2
I
Saturation Current,
where:
A
=
s
=
AA*T
1
e.
kT
junction area
A*
=
T
=
modified Richardson constant (value varies by material and dopant) = 110 A/(°K2-cm2)
for n-type Si
absolute temperature in K
q
=
electronic charge = 1.6 * 10-19 C
fB
=
barrier height in volts
k
=
Boltzman’s constant = 1.37 * 10-23 J/K
n
=
ideality factor (forward slope factor, determined by metal-semiconductor interface
The barrier height of a Schottky diode can be determined experimentally by fitting the forward I/
V characteristic to the Richardson equation. Notice that fB, the potential barrier for electrons in
the metal moving towards the semiconductor, influences the forward current.
The barrier height is important because it determines the local oscillator power necessary to
bias the diode into its non-linear region. See Figure 48 for this relationship. In many high frequency receiver systems the available local oscillator power is limited so low barrier Schottky
diodes must be used. Schottky diodes have been fabricated with several metals and alloys using p- and n-type silicon and n-type gallium arsenide, with barriers ranging from 0.27 eV to 0.90
eV. (See Table I for barrier heights of common metals, compounds and metal mixtures used
for silicon & GaAs Schottky diodes).
7
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Semiconductors
Crystal
Silicon (n type)
Silicon (p type)
Gallium Arsenide (n type)
Orientation
Layer Doping
<111>
Nd ~1 - 10 *1016
<111>
Nd ~1 - 10 *1016
<100>
Nd ~1017
Metals
Au
Cr
Mo
Barrier Height (eV)
0.34
0.90
0.52
0.42
-
0.81
0.55
0.60
Ni
Pd
Pt
Ti
W
Metal Silicides
Ni-Si
Pd-Si
Pt-Si
Ti-Si
W-Si
Alloys or Metal
Mixtures
Ni-Cr
Ti-W*
0.55
0.72
0.85
0.48
0.69
0.65 - 0.75
0.72 - 0.76
0.80 - 0.85
0.56 - 0.63
0.60 - 0.65
~ 0.55
~ 0.50 - 0.70
<111>
Nd ~1017
0.51
0.35
0.28
0.61
0.45
Barrier Height (eV)
0.30 - 0.36
0.26 - 0.29
Barrier Height (eV)
0.99
-
0.76
0.86
0.76
0.80
0.81
0.93
0.82
0.86
-
-
-
-
0.25 - 0.45
* Depending on Mixture
Table 1.
B.
Experimental Values of the More Common Metal Semiconductors and Metal Silicide Barrier Heights in eV on
Silicon and Gallium Arsenide7,9
SCHOTTKY DIODE EQUIVALENT CIRCUIT
The ideal Schottky barrier mixer diode would have the following I/V characteristic:
I
V
Figure 3.
Ideal Schottky Diode I/V Characteristic
8
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
The ideal mixer diode can be considered as a series switch controlled by VLO. VIF is produced
by gating VRF. An ideal mixer diode would have no series resistance under forward bias and no
capacitance under reverse bias. However, in practice this is not possible.
VRF
VIF
VLO
Figure 4.
Ideal Mixer Diode
Figure 5a shows the cross section of a typical Schottky diode die. This die has two layers of passivation on its top surface, surrounding the metal-semiconductor Schottky junction. The SiO2 (εr ≈
4) is formed by oxidizing the top surface of the Si epitaxial layer with very pure, de-ionized water
vapor. This type of passivation is frequently called “thermal oxide”, since the operation takes
place in a very clean, tightly controlled furnace at approximately 900° C. The resulting passivation
is very efficient but vulnerable to contamination from metals and other materials. Another layer of
passivation, Si3N4 (6.7  εr  7), is deposited on top of the SiO2 to substantially reduce this vulnerability. This type of die is compatible with die attach and semi-automatic wire bonding methods
normally used with diode packages and with hybrid circuits.
Top Contact Metal
Nitride (Si3N4)
Thermal Oxide SiO2)
R
CJ
Epitaxial Layer
RS1
Substrate
RS2
CO
Ohmic Contact
Backside Metal Contact
Figure 5a.
Schottky Diode Die with Equivalent Circuit
9
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Market forces require continually improved, higher frequency electrical performance from semiconductors with lower prices. These conditions require that diodes be packaged in plastic packages, such as the SOT-23, SOT-323, SOD-323, etc., using automated assembly techniques.
However, the implications of these requirements are in mutual opposition. Better performance
at higher frequencies requires lower junction capacitance, which is achieved by reducing the
area of the metal-semiconductor junction. The optical recognition systems used with automated
wire bonding assembly equipment have minimum feature sizes smaller than which they cannot
recognize properly. This minimum feature size is much larger than the metal-semiconductor
junction area that is required for an RF or microwave Schottky diode.
At first glance this problem appears easy to solve by simply increasing the diameter of the metal
that is deposited on top of the passivation layers, as shown in Figure 5a, to produce a feature
large enough to be optically detected and recognized. This approach can substantially increase
the diode’s overlay capacitance (C0) to the point that the total diode capacitance becomes too
large for high frequency operation.
Since the minimum top metal size is determined by the capability of the optical recognition system used, the only alternatives that the diode designer has is to either make the dielectric layers
of the overlay capacitance (the passivation layers) thicker or to use materials with lower relative
dielectric constant.
Top Contact Metal
BCB
Nitride (Si3N4)
Thermal Oxide (SiO2)
R
CJ
Epitaxial Layer
RS
Substrate
RS2
CO
Ohmic Contact
Backside Metal Contact
Figure 5b.
10
Schottky Diode Die with BCB and Equivalent Circuit
Recent advances in material science have produced many polymers, one of which, benzocyclobutene (BCB) is particularly well suited for use with microwave semiconductors. Its low
relative dielectric constant (εr = 2.7) and dissipation factor along with its superior mechanical
strength make BCB a good material to use as a third, topmost layer of dielectric in small
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
capacitance diodes that must have very large diameter top contacts in order to be compatible
with automated assembly. Such a die is shown in Figure 5b.
Note that in Figures 5a and 5b the thicknesses of the substrate and epitaxial layers are not
drawn to scale. In actual practice, the substrate is typically many times thicker than the epitaxial
layer.
In actual mixer operation the Schottky junction can be modeled as a nonlinear resistance (Rj)
and a shunt capacitance (Cj). The nonlinear resistance is the element used for mixer and detector action and will be discussed in detail later. The nonlinear resistance can be obtained from
the basic I/V relation for the Schottky barrier (see equation 1). The elements RS1 and RS2 represent resistive losses in the epitaxial layer and substrate layer respectively. These constant resistive losses are generally included in the term RS, the total series resistance. The remaining
circuit model element is the overlay capacitance (CO), which is the parasitic capacitance that
results from the contact metal extending beyond the active region, over the passivation. Figure
6 shows an equivalent circuit for a beam lead Schottky device.
0.1 nH
SELF BIAS (mA)
1.0
1.5
3.0
C.
Rj (ohms)
0.02 pF
350
200
150
Figure 6.
2Ω
0.07 pF
Rj
Equivalent Circuit for a MA40415 Beam Lead Device
TOTAL CAPACITANCE OF A SCHOTTKY DIODE
The total capacitance of a packaged Schottky barrier diode is given by:
(2)
where:
Cj =
Ct = Cj + CO + Cp
metal - semiconductor junction capacitance
CO
=
overlay capacitance across the oxide layer
Cp
=
package capacitance
The overlay and package capacitances can be either substantially reduced or eliminated by
using SURMOUNT or beam lead diodes.
11
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
1.
Junction Capacitance
The junction capacitance of a Schottky barrier diode is given by:
1
(3)
2
q. S.N D
kT
V
2 .  sm
q
C j ( V)
or
C j ( 0)
C j ( V)
1
1
where:
 sm

2
V
kT
q
=
electric permittivity of the semiconductor
ΦSM
=
=
donor density in n-layer
barrier voltage seen by electrons in the semiconductor for traversal into the metal
V
Cj(0)
=
=
applied voltage
junction capacitance at zero volts
S
ND
A convenient method for determining the barrier voltage ΦSM for a specific metal semiconductor
combination is to plot (1/Cj)2 versus voltage. The intercept on the voltage axis is given by ΦSM KT/q. Note: The capacitance versus voltage relation is governed by the barrier seen in the
semiconductor while the current voltage relationship is governed by ΦB, the barrier seen by
electrons in the metal. These barriers differ in potential by the separation of the Fermi level in
the semiconductor from the conduction band divided by the electronic charge or (eC - ef)/q.
2.
Overlay Capacitance
As seen in Figure 5, the overlay capacitance CO is the parasitic capacitance of the contact metallization extending beyond the active junction area and over the passivating oxide. If the effects
of surface charges on the semiconductor or depletion of the semiconductor-SiO2 interface by
the applied voltage are neglected, the overlay capacitance can be modeled as a parallel plate
capacitor with the SiO2 layer as a dielectric. Then CO becomes:
(4)
CO
 1. A 1
WO
12
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
where:

A1
1
W0
= electric permittivity of SiO2
= area of overlay region (annular ring)
= thickness of oxide passivation
The overlay capacitance is a parasitic element which should be minimized for optimum diode
performance. Reducing CO to a minimum value becomes especially important for frequencies
above X band, but there is a trade-off with the contact size. It is normally very difficult to attach
wire bonds to contact sizes smaller than 1-2 mils. When junction capacitances for Schottky diodes are specified they normally include this overlay capacitance. Usually CO is no more than
~0.02 pF for 1-2 mil diameter contact sizes.
D.
SERIES RESISTANCE
The total series resistance shown in Figure 5 consists of the resistance of the undepleted epitaxial layer (RS1) plus the resistance of the substrate (RS2). A low frequency model, which
neglects skin effect, will be discussed.
The contribution of the undepleted epitaxial layer to the diode resistance is given by:
(5)
R S1
R S1
l
A
l
q .  e . N D. A
where:

= resistivity of undepleted epitaxial layer
l
= thickness of undepleted epitaxial layer
A
= area of Schottky junction

= electron mobility in undepleted epitaxial layer (assumes layer is n-type)
e
ND
= donor density in undepleted epitaxial active layer
The resistance contributed by the substrate may be modeled by using the resistance of a contact dot and the size of the junction on a semi-infinite semiconductor substrate. This model is
normally valid because the active diode diameter is usually much less than the thickness of the
substrate. Using this model, RS2 becomes:
13
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
(6)
R S2
S
2.d
S 
.
4
A
R S2
where:

d
= substrate resistivity
s
= active junction diameter
Using equations 5 and 6, the total resistance RS becomes:
(7)
RS
l
q e . N D. A
S 
.
4
A
The above analysis totally neglects skin effect, which may increase the substrate contribution to
RS. For a high frequency model, RS1 will be given by the same expression as above, but in order to model RS2 one must consider that current will flow in a surface layer only one skin depth
thick in the substrate. The first component of RS2 to consider will be the spreading resistance of
the current into the area directly under the active region one skin depth thick into the substrate.
The second will be the resistance of the top surface of the chip. This component may be approximated as the resistance of an annular ring of inner diameter d, outer diameter D, the total
chip width, and the thickness d which is the skin depth.
The third component of RS is the resistance of the chip side walls, modeled with a thickness d.
The total RS at millimeter wave frequencies is the sum of these three components plus the resistance of the active epitaxial area. It is normally not necessary to consider skin effects below
approximately 50 to 60 GHz for most diodes.
E.
14
FIGURE OF MERIT
The cutoff frequency (Figure of Merit) of a Schottky barrier diode is maximized by minimizing the
RS Cj product. Furthermore, mixer conversion loss (LC) can be shown to be directly proportional
to the product of diode series resistance (RS) and junction capacitance (Cj). By converting
these parameters to semiconductor properties of the active junction, the following figure of
merit for a Schottky barrier diode can be obtained:
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
(8)
where:
Figure of Merit
R S.C j . .L C. .

= electric permittivity of the semiconductor
W
= undepleted epitaxial layer thickness
ND
= carrier concentration in active region

= carrier mobility in active region
W. 
 . ND
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
II.
Principles Of Mixer Diodes
Frequency mixing is the conversion of a low power level signal, (commonly called the RF signal)
from one frequency to another by combining it with a higher power (local oscillator) signal in a
device with nonlinear impedance. Mixing produces a large number of new frequencies which
are the sums and differences of the RF and local oscillator signals and their respective harmonics. In a down converter mixer the intermediate frequency (IF) is the desired output signal. In
most applications this signal is the difference of the RF and local oscillator frequencies.
The relationship of these signals to the mixing function is shown in Figures 7 and 8
DC
LO
RF
Signal
Amplitude
IF
Image
Conversion
Loss (LC)
Frequency
IF
Figure 7.
IF
Frequency Relationships in a Mixer
Signals at two different frequencies can produce an output signal at the IF.
The first of these signals is called the signal frequency or the RF signal. This signal typically
has been modulated by another circuit or system. In a down converter mixer, the RF signal
frequency is either fLO + fIF or fLO - fIF.
The second signal frequency that can produce an output signal at the IF is called the image frequency (fIM). The image frequency is offset from the LO frequency by the IF frequency. Energy
at the image frequency can degrade noise figure, produce interference or increase distortion of
the receiver system. A properly designed mixer will terminate the image frequency signal. In a
down converter mixer, if the desired RF signal frequency is fLO + fIF then the image frequency is
fIM = fLO - fIF and vice versa.
16
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
A major consideration of all mixers is the conversion loss which is the reduction of signal power
when it is converted from the RF to the IF frequency. The conversion loss (LC) is illustrated
graphically.
Figure 8 shows in more detail some of the many frequency components which are generated in
a mixer. Note that the RF and image signals can appear on either side of the LO frequency.
fIF
fIF
DC
IF
Bandwidth
DC
rectified
current
fIF
Figure 8.
fIMAGE
fL
fRF
fRF + fLO
Frequency Relationships in a Mixer
When the RF and local oscillator signals are combined in a variable resistance diode, the frequency components are given by a series expansion. This phenomenon has also been described as multiplication of the RF and local oscillator signals in the time domain. Some of the
frequency components are shown below1,8:
I
V
eRF=ERF cos (

RF
t)
eLO=ELO cos (

LO t)
I/V
Characteristic
eIF=a1eI+a2eI2+...+aneIn+...
eI=eRF+eLO
17
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1


a1 ERF cos (
eIF =
a1 ELO cos (
a2/2 (ELO
2
t)
LO
t)
+ ERF )
RF
2
+
…
LO signal
+
…
RF signal
+
…
DC component
 -  ) t) + …
LO
RF
+ …


a2 ELO ERF cos ((
LO +
RF) t)
 t) + …
a /2 E 2 cos (2
Lower sideband signal
a2 ELO ERF cos ((
2
LO
+
…
2nd harmonic of local
oscillator signal
2nd harmonic of RF signal
+
…
etc.
LO
a2/2 ERF2 cos (2
A.
Upper sideband signal

RF
t)
EQUIVALENT CIRCUIT OF A MIXER DIODE
The Schottky mixer diode may be shown as a nonlinear resistance, Rj, shunted by a capacitance, Cj, in series with a resistance, RS. This equivalent circuit is shown in Figure 9. The resistance is the nonlinear barrier resistance at the rectifying contact. The capacitance is the barrier
and overlay capacitance. At low frequencies the barrier capacitance does not affect rectification
but at microwave frequencies its shunting action will reduce the RF voltage across the barrier.
Since it is impossible to tune out Cj with an external inductance at microwave frequencies because of the presence of RS, Cj must be kept small to minimize reduction in rectification efficiency. The diode package parasitics are represented by the series package inductance (Lp)
and the shunt package capacitance (Cp). The effects of both Lp and Cp must be considered
when packaged diodes are used.
Lp
RS
Cp
Cj
Figure 9.
Rj
Equivalent Circuit of Packaged Mixer Diode
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
B.
BASIC MIXER DIODE RF PARAMETERS
A fundamental limitation on the sensitivity of a microwave receiver employing a diode mixer
arises from the fact that in the frequency conversion process only a fraction of the available RF
signal power is con-verted into power at the intermediate frequency. Some RF signal is also
converted to the usually unwanted image frequency and other harmonics, too. This overall loss
is dependent primarily on the diode junction properties, and secondarily on the diode's package
parasitics (i.e., mismatch of signal power by RS, Cj) and on the match at the input and output
ports of the mixer. An additional limitation on performance arises from the fact that the mixer
diode itself generates noise (noise temperature ratio) when it is driven by the local oscillator.
The conversion loss and the noise temperature ratio are the parameters of most interest in the
microwave mixer diode. The mixer diode is completely characterized by the following parameters: conversion loss, noise temperature ratio, receiver noise figure, RF impedance and IF
impedance.
1)
Conversion Loss Theory
The conversion loss of a mixer diode is dependent on several factors, including both the
package and the Schottky diode die. Conversion loss, LC, can be considered to be the sum of
several losses.
The first component of total diode conversion loss can be called the matching loss which is dependent on the degree of impedance match obtained at both the RF signal and IF ports. Less
than optimum match at either of these ports will result in a reduction in the available RF signal at
the diode and the inefficient transfer of the IF signal. The matching loss can be expressed as:
(9)
L 1 ( dB )
10 . log
S RF 1
4 . S RF
2
log
S IF 1
4 . S IF
2
where SRF, and SIF are RF and IF SWRs respectively.
The second component is the loss of signal power due to the diode's parasitic elements and, is
called the diode's parasitic loss. The parasitic elements causing this loss are the junction capacitance (Cj) and the series resistance (RS). The diode parasitic loss is the ratio of the input
RF signal power to the power delivered to the junction variable resistance, Rj:
(10)
L 2 ( dB)
10 . log
P in
P out
19
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Expressing this loss in terms of diode parameters:
(11)
L 2 ( dB)
10 . log 1
RS
2
 .C j .R S.R j
Rj
where Rj is the time average value of junction resistance as established by the local oscillator
drive level. The minimum value of L2 occurs when Rj is equal to 1/(
 C ):
j
(12)
L 2min( dB)
10 . log 1
2. .C j .R S
Since the value of Rj is strongly dependent on the local oscillator drive level, the value of L2 is a
function of LO drive. RS is also a weak function of drive level. If the LO drive is increased above
the optimum value, L2 will increase due to power dissipation in RS, while decreasing LO drive
also gives insertion loss increase due to the shunting effect of the junction capacitance. In general, for many mixers L2min occurs when Rj is in the range of 250 ohms. This normally occurs at
a diode rectified current of approximately 1 to 1.5 mA.
The third component is the actual conversion loss at the diode junction. This loss depends
mainly on the voltage versus current characteristics of the diode and the circuit conditions at the
RF and IF ports. The nonlinear behavior of the diode is represented by a time varying conductance, G, which is dependent on the DC characteristics of the diode and local oscillator voltage
waveform across the diode. Conversion loss and impedance values can then be calculated for
the various image terminations by means of linear network theory. The minimum conversion
loss (L3) at the diode junction for a broadband mixer (image properly terminated) in terms of
incremental conductances is given by:
(13)
1
L 3min
1
2.
2.
1
1
2.
g 12
g0
g 12
g0
1
. g
0
g2
2
1
. g
0
g2
2
where g0, g1 and g2 are incremental conductances, which are derived from a series
expansion of the diode conductance obtained from the diode I/V equation:
20
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
(14)
qV
I
I S e nkT
1
It can be shown that L3 min approaches, as a limit, a value of ~3 dB. Thus, for an ideal mixer diode, the theoretical minimum conversion loss is 3 dB under broadband conditions because a
maximum of half the incident RF power is delivered to the IF port and the remaining RF power is
dissipated at the image termination.
Under narrow band conditions, the image frequency can be reactively terminated such that RF
power at the image frequency recombines with the local oscillator signal to improve the conversion loss of the diode. Under ideal conditions, theory predicts that a conversion loss of 0 dB for
open or short circuited image terminations can be obtained. Values as low as 1 to 1.5 dB have
been obtained in laboratory image recovery mixers.
The overall conversion loss, LC, of a mixer diode is the sum of the three loss components, L1, L2
and L3.
(15)
Conversion
Loss
Matching
=
Loss
Parasitic
+
Loss
Junction
+
Loss
or
LC = L1 + L2 + L3 (dB)
For most production mixers a conversion loss of 4.5 to 6 dB is a reasonable value that can be obtained without extensive fine tuning.
C.
NOISE IN MIXER DIODES
1)
Noise Temperature Ratio
In variable resistors or varactor mixers, there are three main sources of increased noise. The first
is the thermal noise, which is present in all conductors at thermodynamic equilibrium. The second
is shot noise, which is generated by moving charge carriers under the influence of an electric
field. The third component, which increases with decreasing frequency, is usually referred to as
1/f or flicker noise. The noise temperature ratio includes the effects of all three of these
contributors.
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
1C)
Thermal Noise
The thermal noise for a Schottky barrier is given by the expression:
i
(16)
where:
2C)
2
4 . k. T . G . B
k
= Boltzmann's constant
G
= diode conductance
B
= bandwidth under consideration
i2
= mean square noise current
Shot Noise
The sources of shot noise in a Schottky barrier are similar to that of pn junctions. In a Schottky
diode under forward bias there is a net flow of electrons from the semiconductor to the metal,
giving rise to DC current, I. Equal and opposite components of saturation current, IS, also flow
across the barrier. These currents do not produce a net current in the external circuit, but do
produce shot noise. Total shot noise is attributed to the three components. The resulting shot
noise current is given by:
(17)
in2  2 q ( I  2 I S ) B
In terms of diode AC conductance (G), the noise temperature ratio (tB) of the barrier is defined
as:
(18)
tB 
in2
4kTGB
As shown, tB is the ratio of the diode mean square noise current to the mean square thermal
noise current of a passive conductance. Using the I/V equation for a Schottky barrier diode, tB
can be reduced to
(19)
tB
1.
1
2
IS
I
IS
The noise temperature ratio, t, of the composite diode, consisting of the Schottky barrier with
noise temperature, tB, and series resistance, RS, with its thermal noise is given by the
expression
22
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Principles, Applications and Selection of Receiving Diodes
Rev. V1
(20)
t
R j * t B  RS
RS  R j
where Rj is the dynamic resistance of the barrier (reciprocal of G). Values of t and tB less than
one have been measured experimentally for Schottky barrier diodes. When the silicon Schottky
barrier diode noise is due entirely to shot noise:
(21)
tB
1.
1
2
IS
I
IS
The saturation current is usually much smaller than 1. The saturation current, Is, for a platinumsilicon (n-type) Schottky barrier diode is ~2 x 10-14 amps and the rectified current, I, is usually
0.1 to 1 mA under local oscillator bias conditions. Thus, for ordinary DC forward biases
(22)
tB  1/2
Under optimum local oscillator excitation, symmetry effects reduce the shot noise to much
smaller values. At the same time, however, conversion of the source and image thermal noise,
together with the series resistance's thermal noise, results in a noise temperature, t, close to
1.0. Normally, Schottky diodes have t < 1.0.
3C)
Flicker Noise (1/f)
Flicker noise is a type of noise whose magnitude is inversely proportional to the frequency at
which it is measured. It occurs in thin metal films, carbon resistors, copper oxide rectifiers, crystal varistors and all other semiconductor devices. The causes of flicker noise are not fully understood, although it is probably a surface effect due to large dependence of the noise magnitude upon the condition of the conducting material’s surface and the environment surrounding it.
Schottky diodes generally have lower "1/f" noise when compared to point contact diodes and
are very suitable for applications involving a low IF frequency, e.g., Doppler radars. In general
the lowest 1/f noise is obtained with back diodes. Unpassivated Schottky diodes tend to have
less 1/f noise than those with an oxide passivation. However, unpassivated diodes are more
susceptible to environmental stresses.
D.
OVERALL RECEIVER'S NOISE FIGURE
The most important criterion of mixer performance is its contribution to the overall receiver's
noise figure. The noise at the output of a receiver is the sum of the noise arising from the input
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
termination (source) and the noise contributed by the receiver itself (i.e., due to the IF amplifier
and mixer diodes). The noise factor is the ratio of the actual output noise power of a device to
the noise power which would be available if the device were perfect and merely amplified the
thermal noise of the input termination without contributing any noise of its own. Noise factor is
given by the relation:
(23)
Si
F
Ni
SO
NO
where:
Si =
available signal power at the input of receiver
Ni
=
available noise power at the input of receiver
S0
=
available signal power at the output of receiver
N0
=
available noise power at the output of receiver
The noise figure is the noise factor in decibels (i.e.):
(24)
Si
NF( dB )
10 . log
Ni
SO
NO
The overall noise figure of a receiver depends on the conversion loss (LC) of the mixer, the noise
temperature ratio (t) of the mixer diode and on the noise figure of the IF amplifier (FIF). It is
given by the relation:
(25)
NF = L(t + FIF-1)
24
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Mixer diodes are usually specified using FIF of 1.5 dB. This allows comparison of different diodes under similar test conditions.
The mixer noise can also be expressed in terms of mixer input noise temperature, TM:
(26)
TM = To * to
where:
To = measurement temperature
to
E.
= Noise temperature of the diode
MIXER DIODE RF IMPEDANCE
The RF impedance of the variable resistance mixer diode is a property of prime importance in
the design of mixers.
Any impedance mismatch at the signal and LO frequencies not only results in signal loss due to
reflection but also affects the IF impedance at the IF terminals of the mixer. This effect becomes more serious for mixer diodes with low conversion loss. The RF impedance of a mixer
diode can be measured by a SWR method or directly with a network analyzer. The RF impedance is affected by local oscillator power. Normally this power is part of its specification.
The RF impedance is a complicated function depending on package geometry, size and shape
of package parts and composition of the semiconductor and its junction parameters. To establish a good match between a semiconductor chip and RF transmission line, an impedance
matching transformer is generally required.
F.
MIXER DIODE IF IMPEDANCE
The IF impedance is the impedance seen looking into the IF port of a mixer. It is important to
match this impedance to the IF amplifier input impedance. The pertinent mixer diode IF impedance (ZIF) is that impedance at the output terminals of the mixer when the mixer diode is driven
by a local oscillator. The IF impedance is a function of the local oscillator power level and also
depends on the RF properties of the mixer and circuits connected to the RF terminals of the
mixer. The IF impedance of a mixer diode driven by a LO is given in terms of its incremental
conductances. For the broadband case it is:
1
2
(27)
2
Z IF
1 .
1
g O
g 1
. g
2.
O
g O
g
25
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
where gO, g, and g1 are incremental conductances.
An accurate measurement of ZIF is essential for measuring noise temperature ratio (t) and conversion loss (LC) of a mixer diode. It is normally done with an admittance bridge. Almost all
mixer diodes have their ZIF specified at a moderate RF frequency, i.e. 30-50 MHz, and at a fixed
LO drive power level.
26
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
III.
Principles Of Detector Diodes
A.
BASIC DETECTOR DIODE CHARACTERISTICS
RF and microwave signals can be detected by direct rectification using a nonlinear semiconductor such as a Schottky barrier diode. The sensitivity, however, is often mediocre in comparison
to that of a good superheterodyne receiver.
Figures 13 and 14 illustrate the detecting function. The input signal is an RF signal whose amplitude, as a function of time, is the desired output. Optional DC bias to the detector diode may
represent an additional input. The output of a detector is a low frequency signal called the video
signal. Its amplitude is proportional to the square of the voltage amplitude of the RF signal. The
frequency relationships in a detector are illustrated in Figure 13b. The RF input is shown as a
carrier with amplitude modulation sidebands. The video signal will be a low frequency signal
related to the amplitude modulation of the RF input as shown.
Detector
RF Signal In
Detected Video
Signal Out
DC Bias
Figure 13a
RF Input
Amplitude
Modulation
Sideband
Detected
Signal
fRF
Frequency
Figure 13b
27
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
At small RF power the output current is proportional to the square of the RF input voltage. A
"real" detector diode has the approximate characteristics shown below.
I
Detected Cur-
V
RF Signal
DC Bias
Figure 14.
B.
Application of Signal Voltage to Schottky Diode
THE VIDEO DETECTOR
The block diagram of a typical video detector circuit is shown below:
DC Bias
Detector
Diode
Modulated RF
Input Signal
RF
Input
Input
Matching
Network
L1
C1
Low
Pass
Filter
RV
Video
Amp
Detector
Output
Detected
Output Signal
Figure 15. Video Detector Circuit and Waveforms
where:
L1 = the return for the DC and demodulated signal
C1
= the bypass capacitance for all RF signal components
RV
= input impedance of video amplifier
28
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
The I/V characteristic for an ideal detector diode is:
I
IBIAS
VBIAS
Figure 16.
V
Ideal Detector Diode I/V Characteristic
(28)
qV
I
IS e
nkT
1
where:
IS
= reverse saturation current
n
q/kT
= ideality factor (which equals one for an ideal diode)
= 38.6 volts-1 at T = 300K
Assume that the voltage across the diode consists of a bias voltage Vbias and a small RF voltage
(бv). If a Taylor series expansion is performed about the bias point Vbias:
(29)
I = I (VBIAS + dv)
I = IBIAS +
∂I
∂v
∂v +
VBIAS
1
2
∂ 2 I
∂ v 2
(∂v)2+...
VBIAS
If the RF signal voltage ∂v = VRF cos(ωSt), then the RF signal current is
(30)
∂I
∂v
G
RF
V RF cos (w RF t)
VBIAS

I
v

V
BIAS
q * (I
BIAS
 I
S
)
nkT
29
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Next, assume that the input signal is amplitude modulated:
(31)
∂v = VRF(1 + m sin(wMt) cos(wRFt))
where:
wRF = RF frequency
wM
= modulation frequency
Substitution into the Taylor series yields:
(32)
i  I BIAS  G RF V RF
1  2I
(1  m sin(  m t )) cos(  RF t ) 
2 v 2
V RF2 (1  m sin(  m t )) 2 cos 2 (  RF t )  ...
V BIAS
We are interested in the demodulated components of the above current since the RF currents are
bypassed by C1. Therefore,
(33)
Im 
1  2I
2 v 2 V
v RF (msin(wm t) 
2
BIAS
m2
1  2I
cos(2wm t)) 
4
2 v 2 V
2
mVRF sin(w m t)
BIAS

This result shows that Im is proportional to the modulation signal, m sin
Mt. It also shows that
2
the video output is proportional to RF power, VRF . This is why it is called a square law detector.
Finally, note that the conversion efficiency is related to the second derivative of the I/V curve, i.e.
the change in slope.
(34)
1
2
since
I BIAS  I S
 2I
V 2
=
VBIAS
q 2 ( I BIAS  I S ) q 2 I BIAS

2(nkT ) 2
2(nkT ) 2
.
Since ∂2I/∂V2 increases with forward bias, it is evident that the output current at the modulation
frequency can be increased by the application of forward bias.
The magnitude of the demodulated current:
(35)
Im 
2
2
q2I
mVRF
qmPRF
qmVRF
( BIAS2 ) 
GRF 
nkT
2 (nkT )
2nkT
30
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
since
2
PRF  V RF
G RF
2
For example, for square wave modulation where m= 1:
(36)
Im
qm
A

 38.6
PRF nkT
W
In actual practice, Im/PRF is usually several microamperes per microwatt. The reason the theoretical value is not obtained is that an actual diode has other losses. The approximate equivalent
circuit is shown below.
LS
RS
Cj
Figure 17.
Rj
(nonlinear)
Detector Diode Equivalent Circuit
The non-linear resistor represents the I/V curve of the diode. At RF frequencies, it is represented
by RRF = 1/GRF. The loss due to the parasitic circuit elements is given by:
(37)
L (dB) = 10 log [1 + RS/Rj +
 2Cj2R R ]
S j
Note that the loss increases with frequency, so diodes with small Cj are required for good microwave detectors. The parasitic reactances (Ls, Cj) are often helpful in matching RRF to Z0. It is
common for RRF>Z0, so Ls and Cj serve as a step down transformer.
If the video impedance (RV) is chosen to match the output impedance of the detector, then:
(38)
PM
1 . 2.
I m RMS. R V
2
31
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
or
PM 
1
q 2m 2
2
* RV *
* PRF
4
(n * k * T ) 2
The conversion efficiency is PM/PRF = K PRF where K is a constant whose value is determined by
the detector diode and detector circuit design.
This relation states that conversion efficiency decreases as PRF decreases. This is a fundamental
limitation of video detection.
Small signal detection is also limited by noise. In the video detector, 1/f noise dominates. The
detection capability of a video detector is characterized by its tangential signal sensitivity (TSS)
which is expressed in dBm. Its relation to video bandwidth is:
(39)
TSS  B
where B is video bandwidth.
A useful relationship is:
(40)
TSS
BW 1
 TSS
BW 2
 10 log
BW 1
BW 2
The sensitivity of a low level video detector depends primarily on the following three factors:
the RF matching structure determines the amount of total incident energy that is imposed on the
active junction for rectification
the rectification efficiency, output impedance and noise properties of the diode determine the
response of the diode junction to incident microwave radiation and
the input impedance, bandwidth and noise properties of the video amplifier at the detector output will affect the overall detector sensitivity.
C.
DETECTOR DIODE ELECTRICAL CHARACTERISTICS
The following section discusses the most important parameters for detector diodes as they are
normally used in diode specifications.
32
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
1)
Video Resistance (Rv)
Rv is the real part of the diode's small signal impedance. This parameter has been shown to be
dependent on the DC bias current and the diode's series resistance.
RV = Rj + RS
where:
Rj = small signal junction resistance
RS
= diode series resistance
Rj can be determined by taking the first derivative of the diode I/V relationship.
(41)
qV
I
IS e
nkT
1
(42)
Rj  (
dI 1
)
dV
or
Rj
nkT.
1
q I IS
where:
IS = saturation current
q
= electronic charge
n
= ideality factor
T
= Temperature (K)
Normally IS << I, then
(43)
Rj
nkT
q.I
or
Rj
0.026
I
for the case of n = 1, T = 300 K, and I is expressed in mA. Most common video detectors
will have video impedances in the range of 500 to 10K ohms in normal usage.
33
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
2)
Voltage Sensitivity (γ)
The voltage sensitivity of a detector or a detector diode is the ratio of open circuit video signal
voltage to the RF input power.
(44)
 
VOCV
PIN
where:
VOC
V
PIN
= open circuit video voltage
= RF power incident on the detector
Voltage sensitivity is usually expressed in units of millivolts per milliwatt. To assure that the detector diode is in the square law range, γ is usually measured at -20 to -30 dBm input power
levels.
Figure 18 shows a typical detector voltage sensitivity characteristic and the normal square
law relationship of a Schottky diode detector.
10 V
Linear
Square
1V
100 mV
10 mV
1 mV
100 µV
10 µV
-60
-40
-20
0
+20
Input Power (dBm)
Figure 18.
Voltage/Sensitivity Characteristics of a Detector Diode
34
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
3)
Current Sensitivity (b)
The current sensitivity, b, for a detector diode is the ratio of short circuit video current to the RF
input power.
(45)

I SVC
P IN
where: Iscv = short circuit video current
The units of b are milliamps per milliwatt. g and b are related as follows:
(46)

 .R V
In terms of diode parameters and physical constants, b can be expressed as:
(47)

q .
2 . n. k. T
1
1
where:
q
n
k
T
Cj
RS
Rj
=
=
=
=
=
=
=
D.
NOMINAL DETECTABLE SIGNAL (NDS)
RS
Rj
2
 .C j 2.R S.R j
electronic charge
ideality factor
Boltzman’s constant
absolute temperature
junction capacitance
series resistance
junction resistance
The nominal detectable signal (NDS) is the RF power level that must be applied to the detector
diode so that the video power out of the detector is 3 dB higher than the video output noise level.
NDS is a measure of the maximum useable sensitivity of a video detector.
35
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
E.
TANGENTIAL SIGNAL SENSITIVITY (TSS)
TSS is the most common sensitivity rating for detector diodes. The measurement is performed
as follows.
An observer sets the detector’s pulsed input power level to a value where, in his opinion, the
video noise voltage peaks as observed on an oscilloscope with no signal present are the same
level as the lowest noise peaks in the video signal when an RF input signal pulse is incident on
the detector. Obviously, this TSS measurement technique is inherently subjective. Figure 19 is
a representation of the TSS level measurement.
Video Voltage with
TSS Input Power
Video Noise
Voltage
Figure 19.
Representation of TSS Measurement
In order to eliminate the subjectivity of the TSS measurement, diode manufacturers define the
TSS signal level to be when the video output signal is 8 dB greater than the video noise signal.
F.
FIGURE OF MERIT (FM)
Some old point contact diodes use a figure of merit (FM) to characterize their sensitivity. The
FM is as follows:
(48)
FM

RV
This figure of merit does not consider shot and 1/f noise introduced by the bias current and
therefore is of limited value for describing Schottky barrier detectors.
Using FM, TSS for a given detector-video amplifier combination can be expressed as:
36
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
(49)
P TSS
3.22 . B . F V
FM
. 10 7
where:
B
= bandwidth of video amplifier expressed in Hz
FV
PTSS
= noise figure of video amplifier expressed as a ratio
= power level at TSS expressed in mW
Figure 20 shows PTSS versus video bandwidth for two values of FM, 220 and 130, for a video
amplifier with a noise figure of 3.5 dB.
63
FM = 220
FV = 3.5 dB
PTSS
(- dBm)
FM = 130
FV = 3.5 dB
48
10
Figure 20.
5
Video Bandwidth (Hz)
10
7
PTSS vs. Video Bandwidth for Two Values of
Detector Diode Figure of Merit, FM.
37
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Commitment to produce in volume is not guaranteed.
changes to the product(s) or information contained herein without notice.
AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
G.
VIDEO BANDWIDTH
Although the detector diode itself may have a wide bandwidth capability, the circuit in which the
detector diode is used will determine the video bandwidth of the overall detector. The typical
detector circuit, shown in Figure 15, has its low frequency video response limited by the Inductance of the RF choke and the series coupling capacitor to the video amplifier. The high
frequency video response is limited by the amplifier input impedance and the RF bypass
capacitance. The upper frequency 3 dB roll off point is given by:
(50)
f 3dB
RV
RA
2 .  . R V. R A . C T
where:
RV = detector diode video resistance
RA
= amplifier input resistance
CT
= sum of amplifier input capacitance and capacitance of RF bypass capacitor
IV.
Comparison Of Mixers And Detectors For Receiving Systems
A.
CHOICE OF MIXERS VS. DETECTORS
Mixers and detectors both downconvert microwave signals so that they may be displayed
or processed further. Low noise amplification (up to 100 dB) is more readily achieved at
VHF and below than at microwave frequencies.
Most mixer (superheterodyne) systems use IF amplification at an intermediate frequency
(30 - 200 MHz) and then use a second down converter such as a video detector to
recover the modulating signal that was superimposed on the microwave carrier. Such a
superheterodyne detection system is shown in Figure 21. A microwave receiver with 10
dB noise figure and 1 MHz IF bandwidth would have a maximum sensitivity of - 104 dBm.
A single detection system is shown in Figure 22. Such a system, using only video amplification, can achieve a tangential signal sensitivity (TSS) of perhaps - 60 dBm for a 1 MHz
video bandwidth compared with the - 104 dBm for the super heterodyne system.
However, the single detection system has the advantage of simplicity, low cost and
potentially wide bandwidth.
38
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
INPUT
SIGNAL
MIXER
IF AMP
VIDEO
DETECTOR
VIDEO
AMP
OUTPUT
DEVICE
LO
Figure 21.
Superheterodyne Detection System
INPUT
SIGNAL
Figure 22.
V.
VIDEO
DETECTOR
VIDEO
AMP
OUTPUT
DEVICE
Single Detection System
Mixer Circuits
There are a large number of circuits that use Schottky mixer diodes. These circuits
were developed to enhance system performance and to optimize a specific design
characteristic such as the receiver’s third order intercept point or its operating bandwidth.
The following sections describe a number of these circuits briefly and give advantages
and disadvantages of each circuit.
These circuits include:
Single Ended Mixers
Balanced Mixers
Double Balanced Mixers
Double-Double Balanced Mixers
Image Reject Mixers
Subharmonic Mixers
Image Recovery Mixers
Phase Detectors
Bridge Quad Mixers
Sampling Circuits
Frequency Multipliers
Quadrature Phase Modulators
Single Sideband Modulators
39
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changes to the product(s) or information contained herein without notice.
AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
A.
SINGLE-ENDED MIXERS
The simplest and least expensive form of diode mixer is a single ended design which employs a
single Schottky barrier diode (see Figure 23). LO power is applied through a directional coupler. The coupler increases the conversion loss and the required LO power. The match between the diode and the input transmission line determines the SWR for the signal input, as well
as the amount of LO power appearing at the signal input port. The amount of LO power seen at
the signal port is determined by the directivity of the coupler and the diode's impedance match.
It is measured in terms of LO-to-RF isolation. High isolation is important in many receiver applications since the LO can be radiated by the receiver antenna.
The IF output signal is extracted from the diode by a low pass filter, eliminating the RF and LO
signals. A high pass filter is needed on the RF side of the diode to prevent loss of IF energy in
this direction. This filtering requires that the IF frequency always be less than the lowest RF or
LO frequency. If the IF response is extended down to DC, the DC component of the diode's
voltage will be present at the IF port. All other harmonics and intermodulation products will also
be present and must also be suppressed by filtering, as required by the receiver system design.
Another drawback to a single ended mixer is that amplitude variations (AM noise) present in the
LO source are not suppressed. This noise can increase the receiver noise figure if any AM
noise signals are present at the signal and image frequencies.
Lowpass
Filter
RF Input
IF Output
RF Choke
LO Input
Figure 23.
B.
Single Ended Mixer Schematic
SINGLE BALANCED MIXERS
Improvement upon the single ended mixer can be obtained by combining two Schottky mixer
circuits in a balanced configuration where the two diodes are driven in opposite phase (see Figure 24). A 3 dB hybrid is used to supply the RF and LO power to the two mixer diodes. This
hybrid serves as a balun transformer for the diode pair
40
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changes to the product(s) or information contained herein without notice.
AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
The IF signal is taken from the virtual ground point. A single balanced mixer can use either a
90° or 180° hybrid. Each type of hybrid has certain advantages and disadvantages, but both
balanced designs offer improved performance over single ended mixers since spurious responses are reduced, the DC component at the IF output is canceled and there is convenient
separation of the LO and RF inputs.
RF Choke
RF Input
Lowpass
Filter
IF Output
LO Input
3 dB Hybrid
Figure 24.
1)
RF Choke
Balanced Mixer
Balanced Mixers Using 180° Hybrids
The first approach combines two single ended mixers with the diodes in parallel and 180° out of
phase. The hybrid suppresses the even harmonics of one of the input signals (LO or RF). It is
usually designed to suppress the harmonics of the LO signal because normally the LO signal is
at a much higher power level than the received RF signal. The degree to which the harmonics
and intermodulation products are suppressed depends upon the balance of the hybrid and how
closely the mixer diodes are matched to each other
41
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
LO Input
E
Plane
Arm
RF: -3 dB @ 0°
LO: -3 dB @ 180°
IF Output
RF: -3 dB @ 0°
LO: -3 dB @ 0°
H Plane
Arm
RF Input
Magic Tee
Figure 25. 180° Balanced Mixer Utilizing a Magic Tee as the Balanced Coupling Mechanism
The properties of the 180° hybrid determine the characteristics of this class of mixer. If the two
output arms of a 180° hybrid are terminated in identical impedances, all reflected power is directed back to the input port. With good diode balance the reflected LO power appears at the
LO port and not at the signal port. As a result, LO-to-RF isolation of the 180° balanced mixer is
normally 20 dB or greater. This same property of the hybrid, however, causes the SWR for both
LO and signal ports to depend on the diode match to the transmission line, (as in the case of a
single ended mixer). SWR is typically 2.0:1 unless care is taken to carefully match the impedance of the diodes to that of the transmission line. As discussed with the single ended mixer,
appropriate filtering is needed before and after the diodes to separate RF and IF frequencies in
order to obtain optimum conversion loss.
2)
Balanced Mixers Using 90° Hybrids
Balanced mixers designed with 90° hybrids exhibit significantly different RF properties than
those using 180° hybrids. The achievement of harmonic and intermodulation suppression for
this mixer type is more complicated and depends on the particular intermodulation product of
interest. In general, there is suppression of harmonics and intermodulation products of both RF
and LO signals.
42
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
LO: -3 dB @ 0°
RF: - 3 dB @ -90°
Lowpass
Filter
RF Input
90°
Crossover
Hybrid
IF Output
Lowpass
Filter
LO Input
LO: - 3 dB @ -90°
RF: - 3 dB @ 0°
Figure 26.
90° Hybrid Mixer
Equal matched terminations at the 90° output ports of the hybrid result in all the reflected power
being directed to the fourth, normally isolated port. Good diode balance, therefore, leads to a
low SWR (typically less than 1.5:1 ) at either the signal or LO ports. The LO or RF isolation depends on the match between the diode and transmission line impedances. This match is normally poor (typically 7 dB return loss) unless careful impedance matching is undertaken at the
diode ports.
Appropriate filtering is needed at both the RF and IF ports to separate the RF and IF frequencies
for optimum conversion loss.
The 90° hybrid-based mixer has been widely used for broadband (octave bandwidth) single
balanced mixer designs because the 90° hybrid is relatively easy to fabricate in coaxial, stripline
or microstrip transmission media.
In summary, for the 180° hybrid mixer the RF-LO isolation is less dependent on the match of the
coupled arms at the expense of SWR and vice versa for the 90° hybrid mixer.
3)
Balanced Mixer LO Requirements
Since two mixer diodes are employed in a single balanced mixer, twice as much LO power is
required as for a single ended mixer. The noise figure of a balanced mixer will be reduced when
compared to the single ended mixer if AM noise from the local oscillator is present at the signal
frequency. LO AM noise is canceled at the IF port of a balanced mixer if the diodes are well
matched.
The matching criteria for diodes are similar. The IF impedance and conversion loss at the diodes' bias current are determined by the local oscillator power. These diode characteristics are
normally specified at approximately 1 mA rectified current.
43
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changes to the product(s) or information contained herein without notice.
AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
C.
DOUBLE BALANCED MIXERS
A double balanced mixer consists of two single balanced mixers connected in parallel and 180°
out of phase with each other at the RF frequency, as shown in Figure 27. At low frequencies
(less than 3 GHz), conventional center tapped toroidal transformers are used for balun transformers to apply the LO and RF signals and for extraction of the IF signal. The transformers
convert the single ended LO and RF input ports to a balanced configuration. The two baluns
also isolate the LO and RF ports from each other and from the IF port. The IF signal is taken
from the virtual ground point of the four diode ring. This results in high isolation between the LO
and the IF ports. At higher frequencies, (above ~3 GHz), the baluns are generally implemented
as distributed circuits. The IF signal then must be selected by suitable filtering. The symmetry
provided by this topology ensures better isolation between the RF and the LO ports and the
suppression of even harmonics of both the RF and the LO input signals if all the diodes as well
as the circuit are well balanced.
LO
Input
IF
Output
Figure 27.
RF
Input
Double Balanced Mixer
In a double balanced mixer the diodes in the ring quad must have very similar junction capacitances and forward voltage drops at the current set up by the LO signal, which is usually in the
1 to 10 mA range.
In operation, a double balanced mixer can be visualized as a simple SPDT switch which
switches the RF signal on and off at the rate of the LO frequency. This switching is controlled
by the local oscillator signal voltage. When it is applied to the diode ring it will drive pairs of diodes alternately into low impedance (conduction) or high impedance (reverse bias) depending
upon the instantaneous polarity of the LO signal. Since the center of the LO transformer's secondary is grounded, the action of the LO signal voltage is to alternately ground the midpoint of
the two conducting diodes. Thus the effect of the local oscillator signal on the diode quad is to
alternately ground each end of the secondary of the RF input. This switching action "mixes" the
two signals (RF & LO) to produce both desired and undesired mixing products of the RF and LO
signals and their harmonics. Unlike the case of the balanced mixer where the RF signal is
switched off during half of the LO cycle, in a double balanced mixer the RF signal voltage is
connected to the output during both halves of the LO cycle. The result is a considerable
difference in the output waveform of the single and double balanced mixers. At the IF port of a
double balanced mixer even order harmonics of the LO or RF signals are either eliminated or
appear with their amplitudes substantially reduced. Double balanced mixers also reduce the
44
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
power level of the two tone intermodulation products because less RF voltage appears across
each diode for a given RF input power level.
1)
Distortion Products
There are several forms of distortion products which occur in all types of mixers. With a single
frequency input to the mixer, single tone distortion or harmonic intermodulation distortion produces signals which distort the desired IF output. For systems with a narrow band IF the single
tone distortion products will occur primarily out of the IF band. However, for wide band IF mixers, some of these intermodulation products can be troublesome. As the power of the single RF
input increases, conversion loss compression may occur. This produces a second form of distortion. If the power level of the RF signal to the mixer is kept well below the power level of the
LO, (i.e. ~15 dB down) the mixer’s RF-to-IF conversion loss is constant and independent of the
RF signal drive power. However, as the RF signal power increases and approaches the same
power level as the LO, conversion loss compression occurs, because the RF signal will also forward bias the diodes in the ring. This distorts the normal phase relationships of the mixer which
were established by the LO signal. This distortion occurs when the RF voltage is large enough
to bias the nonconducting diodes into conduction or the conducting diodes into nonconduction.
Increasing the LO drive power incrementally does not significantly improve the conversion loss
1 dB compression point since a great deal more LO power is required to sufficiently increase
the reverse bias voltage across the nonconducting diodes. Use of a dual ring quad which uses
two diodes connected in series in each leg of the ring increases the mixer's conversion loss
compression level because the effective barrier voltage of each leg of the ring quad has been
doubled. Each leg’s apparent reverse breakdown voltage is also increased to the sum of the
individual diode’s breakdown voltages. However, this type of double balanced mixer will usually
have a higher conversion loss due to the increase in series resistance of each leg of the quad.
When two RF input signals are present simultaneously, two tone intermodulation occurs. This
form of distortion is particularly troublesome because some of the intermodulation products are
within the desired IF bandwidth. These distortion components are not easily removed by
symmetry or filtering.
The double balanced mixer will provide cancellation of AM noise from the local oscillator and
LO-to-RF isolation equal to that of a single balanced mixer without the bandwidth restrictions
imposed by the 3 dB coupler. Higher dynamic range is also obtained with a double balanced
mixer due to the higher levels of LO power which can be used with four diodes. Lower IF impedance which is the result of four diodes in parallel is another benefit. However, impedance
matching of the RF and LO ports is more difficult because each port sees the impedance of two
diodes in series. This impedance can be quite high.
45
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
D.
DOUBLE-DOUBLE BALANCED MIXERS
When high IF frequency mixers are required, the best mixer choice is a double-double balanced
configuration (see Figure 28). The inclusion of the IF balun circuit limits IF current flow through
the mixer and decreases the conversion loss compared to other mixer types. The doubledouble balanced mixer divides the signal power between twice as many diodes as a double balanced mixer and thereby achieves an improvement of 3 dB in dynamic range over the double
balanced mixer. Because this circuit requires the extra balun and diode ring, circuit size and
parts count are both increased. The double-double balanced mixer also requires 3 dB greater
LO power than the double balanced mixer. Because the two diode rings are connected in parallel to the IF and LO baluns, the SWR of a double-double balanced mixer is lower than that of a
double balanced mixer.
RF
Input
LO
Input
IF
Output
Figure 28.
Double-Double Balanced Mixer
Another advantage of the double-double balanced mixer is that the IF output frequency can be
as high or higher than the LO frequency because of the separation of the LO and IF balun
transformer.
46
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
E.
IMAGE REJECT MIXERS
For a given IF frequency, fIF, a signal either above or below the LO frequency, fLO +/- fIF produces
an IF output. If one of these high frequency signals is considered to be the desired signal, then
the other is commonly termed the image signal. All mixers normally have four output frequency
components:
1. the signal frequency (fRF)
2. the LO frequency (fLO)
3. the desired lower frequency (fRF-fLO)
4. and the LO frequency plus IF (fLO-fIF), which is called the image frequency, fIM (see Figure
29).
fIF
fIF
DC
IF
BandDC
rectified
current
fIF
Figure 29.
47
fIMAGE
fL
fRF
fRF + fLO
Frequency Components of a Mixer
In many applications, it is desirable to either eliminate or distinguish the image response from the
desired signal response. If the IF frequency is sufficiently high and the RF bandwidth narrow
enough so that the signal and image frequency bandwidths do not overlap, the image response
can be eliminated by appropriate input filtering. This type of design is suitable for narrow band
systems where a high degree of image rejection is desirable. For broadband applications, especially octave bandwidth mixers, filtering cannot be used for image rejection. In this case the fIM
can be rejected by phasing techniques.
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Two single balanced mixers are frequently combined to form an image rejection mixer. A 90°, 3
dB power divider or hybrid is used to divide the RF signal into two quadrature signals which are
input to the two mixer RF ports. The LO signal to the mixer is applied through an in phase power
divider (see Figure 30). The IF outputs of each mixer are then combined through a 90° hybrid.
With this circuit, the signal frequency response appears at one output of the IF hybrid and the
image at the other. Either the signal or the image (upper or lower sideband) response can then
be suppressed by terminating the appropriate IF output port. The degree of image rejection
depends on the amplitude and phase balance between the two mixers.
In addition to image rejection, this type of mixer provides other attractive characteristics including
good RF input SWR and a 3 dB improvement in RF signal power handling over other designs
because the 3 dB hybrid splits the incoming RF signal without much degradation of noise figure.
The LO power required is 3 dB higher than that for a balanced mixer also due to the power division. The conversion loss is usually a little higher due to the additional losses of the RF and IF
hybrids. This type of mixer is very useful if an RF amplifier is used in front of the mixer, since the
mixer can eliminate image noise amplified by the RF amplifier.
Balanced
Mixer
R
IF
LO
RF Input
Signal
3 dB
Divider
(0°)
LO Input
3 dB
Hybrid
(90°)
Image
3 dB
Hybrid
(90°)
LO
RF
IF
Balanced
Mixer
Figure 30.
48
Image Reject Mixer
This same circuit can be used as a double sideband modulator by applying an LO signal to the
LO port and the baseband modulation signal to the IF port. This results in a balanced modulated
RF signal at the RF port. This RF signal will contain both modulation sidebands. The carrier (LO
signal) will be suppressed and the conversion loss relationship and isolation characteristics of a
double balanced mixer will still apply.
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
F.
SUBHARMONIC MIXERS2,3
Subharmonic mixers are advantageous to use at millimeter frequencies because the LO
frequency can be one quarter to one half of the RF frequency. This allows the designer to use a
more cost effective (lower frequency) local oscillator design.
In a standard single ended or balanced non-subharmonic mixer, the diode is pumped into its forward conduction by the LO once for every input cycle of the local oscillator waveform. The
variation in the resistance of the mixer diode during forward conduction results in frequency
mixing.
In a subharmonic mixer, two diodes in an anti-parallel pair (in parallel but connected anode to
cathode) are used. The local oscillator sweeps each diode to a forward conduction once each
LO cycle. This process requires that the local oscillator frequency be only half that which is
needed for a comparable single ended mixer (see Figure 31). This process can occur at any
even fraction of the LO frequency but as the fraction becomes smaller (i.e., 1/4, 1/8, ...) the
effective LO power decreases.
Single ended subharmonic mixers use one antiparallel pair. Many of the mixing products are
canceled by symmetry. All even LO ± even RF products and all odd LO ± odd RF products are
canceled at all three ports. Only odd LO ± even RF and even LO ± odd RF are generated.
Unfortunately the LO, IF and RF ports are not isolated. All have the same frequency outputs.
Filters are needed for signal selection and isolation.
RF Input
RF Filter
IF Filter
IF Output
Output
LO Filter
LO Input
Figure 31.
Unbalanced Subharmonically Pumped Mixer
A balanced subharmonic mixer which uses two antiparallel diode pairs helps alleviate the filtering problem (see Figure 32). The antiparallel diodes must be matched at the LO port. In the
balanced design all the even LO ± odd RF products are canceled at the LO port and odd LO ±
even RF products are canceled at the RF and IF ports. Therefore, LO-to-RF and LO-to-IF
49
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
isolation is inherent in this circuit. The desired even LO ± odd RF products appear at both the
RF and IF ports, necessitating filtering. Additional advantages of the balanced subharmonic
mixer are that it has twice the conversion efficiency and half the IF intermodulation products as
that of an unbalanced subharmonic mixer.
LO Input
IF Output
Figure 32.
G.
RF Input
Balanced Subharmonically Pumped Mixer
IMAGE RECOVERY MIXERS
A mixer not only responds to a signal at the signal frequency, it also responds to energy at the
image frequency (fIM). This is a major element in conversion loss and noise figure. This energy
is produced by two mechanisms. If a signal is received at the upper sideband (i.e. fRF = fLO + fIF)
it can mix with the second harmonic of the local oscillator signal to produce energy at the image
frequency (fIM = 2fLO - fRF). A mismatch at the IF port can reflect part of the IF frequency output
back into the mixer. This reflected signal can be combined with the LO signal to produce energy
at the upper and lower sidebands (fLO ± fIF). One of these sidebands is the image frequency. In
both cases, the unwanted energy at fIM can be reconverted to produce additional power at the IF
frequency. This will decrease conversion loss. This is the basic principle behind image recovery
mixers. They are usually used for narrow bandwidth systems when the lowest conversion loss
and noise figure are required.
The same methods used to reject fIM of an incoming signal can be used for image recovery of an
internally produced signal. When using a balanced mixer with a 180° hybrid, the generated image frequency appears at the RF input port. For narrowband applications, i.e., 1-2% bandwidth
maximum, a filter at the RF input port can be used to reflect fIM back into the mixer. By adjusting
the electrical length between the filter and mixer, the image can be reflected back to produce IF
energy in the proper phase. This will minimize conversion loss. This phasing of the
50
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
image is critical, since degradation in the conversion loss can also result from improper tuning.
Normally the filter should appear as an open circuit to fIM (see Figure 33).
L
RF Input
Image
Filter
Lowpass
Filter
IF Output
Lowpass
Filter
LO Input
180°
Hybrid
NOTE: Dimension L is critical
Figure 33.
Image Enhancement Mixer
Balanced
Mixer
R
IF
LO
RF Input
Signal
3 dB
Divider
(0°)
LO Input
3 dB
Hybrid
(90°)
Reactive
Termina3 dB
Hybrid
(90°)
LO
RF
IF
L
NOTE:
Dimension
L is critical
Figure 34. Image Enhancement Mixer with Reactive Termination
51
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
H.
PHASE DETECTORS
The ring quad double balanced mixer can also be used as a phase detector. If RF signals of
equal amplitude and frequency are applied to the LO and RF ports, a DC signal that is a function
of the phase difference between the signals will appear at the IF port. The DC voltage is:
(51)
V IF
V OFFSET
V 1 . COS 

 OFFSET
The offset voltage, VOFFSET, is an additive constant caused by unbalance in the diode ring or in
the transformer structures, Φ offset is the phase difference introduced by the mixer and ΔΦ is the
phase difference between the signals. With proper design, VoffSet and Φ offset can be minimized
so
(51A)
V IF
V 1 . COS( 
)
the constant V1, will be a function of the RF signal amplitude and the IF load resistance. By
operating the phase detector close to the zero crossing of the cosine function, the output voltage
can be made approximately linear with the phase angle for small variations of the angle.
0.3 0.3
0.2
0.1
V
IF
0
0.1
0.2
0.3 0.3
0
0
Figure 35.
30
60
90

120
150
180
180
Phase Detector Performance Curve Illustrating the
Linearity of the Output Voltage
52
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
I.
OTHER RING QUAD APPLICATIONS
Other applications of the double balanced mixer include attenuators, switches and biphase
modulators. When an RF signal is applied to the LO port and no signal applied to the IF port,
the RF output is isolated from the LO input by 20 to 30 dB. If a positive DC voltage is applied to
the IF port, the RF applied signal will be transmitted to the RF port with a specific phase. If a
negative voltage is applied at the IF port, the RF input signal will be transmitted to the RF port
with the same amplitude but in the opposite phase. It is therefore possible to modulate the RF
signal through 180° using alternate polarity DC voltage on the IF port. This modulating technique is very useful for digital communications where the IF signal (modulation) can be a stream
of binary data.
A double balanced mixer can be used as an attenuator by varying the level of the DC current
applied to the IF port. This can control the level of the LO signal transmitted to the RF port. By
changing the current level from 0 to 2 mA per diode a current controlled attenuator can be produced. The maximum attenuation will depend on the mixer's isolation. Values of 20 - 30 dB are
normally obtainable.
J.
BRIDGE QUAD APPLICATIONS
1)
Biasable Bridge Quad Mixers
Bridge quads can be employed in biasable bridge quad Schottky diode mixers (see Figure 37).
A biasable mixer is very attractive in applications where little LO power is available. In a bridge
quad, the diodes are arranged in a rectifier ring (see Figure 37). The bridge quad circuit still provides good LO-to-RF isolation because, like the double balanced mixer, the RF and LO signals
are applied at each other’s virtual ground points. The bridge quad does not provide RF-to-IF
isolation, because the IF must be coupled from the RF signal connection points. An IF filter is
necessary to separate the RF and IF. Unlike a ring mixer, the biasable bridge quad mixer does
not have the proper symmetry to suppress even harmonics of both the RF and LO. It will have
spurious signal levels that are dependent upon which ports are chosen to receive the LO and RF
signals. There is less distortion if the IF is taken from the RF signal connection ports. In the
normal mode of operation, mixing products having even harmonics of the RF will be suppressed.
A biasable bridge quad mixer operates as follows. The LO pumps all four diodes in phase. The
RF is short-circuited when the diodes are on (forward biased) and open-circuited when the diodes are off. In these two states the reflection coefficients are -1 and + 1, respectively. The output IF signal for a bridge quad mixer is the product of the RF incident signal and the periodic
square wave reflection coefficient. Since the alternating reflection coefficient is "square like",
(i.e. on or off) it produces reflection coefficients in the frequency domain of odd harmonics only
as shown in Figure 37.
53
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
IF
Filter
RF
Input
IF
Output
IF
Filter
Bias
Input
DC Block
6 places
LO Input
Figure 36.
Biasable Bridge Quad Mixer
A potential problem with this circuit is that small differences in the I/V characteristics of the
diodes can severely unbalance the mixer when it is operated under DC bias. The bridge is, in
effect, two pairs of diodes, with each series-connected pair biased to exactly the same voltage.
Because of the exponential dependence of the diode current upon voltage, it is possible for one
pair of diodes to conduct much more heavily than the other, if the diodes are not identically
matched. When the LO signal is applied, the diode pairs then have very different conductance
waveforms and the mixer balance is consequently degraded.
+1
Reflection
Coefficient
Time
-1
Figure 37.
Biasable Bridge Quad Reflection Coefficient
54
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
2)
Bridge Quad Sampling Circuit
The bridge quad can also be used in sampling circuits. The bridge quad barrier height must be
chosen so that the expected input signal will not cause the diodes to conduct in the forward direction under normal RF drive conditions. If the input signal does become too large, a reverse
bias can be applied to the diodes to prevent them from conducting. Sampling of the signal is
accomplished through the selective application of a short duration, high level DC pulse that will
switch the diodes into conduction. Since symmetry is essential for both AC and DC balance, the
diodes must be well matched. Symmetry of the diodes tends to cancel even harmonics of the
RF input at the output. This results in a "clean" sampled signal. Because of their higher barrier
heights and low series resistance, GaAs bridge quads are very suitable for use in sampling
circuits.
RG
Sampling
Pulse
Source
Figure 38.
K.
RF
Input
Sampled
Bridge Quad Sampling Circuit
FREQUENCY MULTIPLIERS
Schottky barrier diodes employed in a balanced configuration can be used as frequency multipliers (see Figure 39). The undesired frequencies (odd or even harmonics) are terminated by
symmetry. Therefore, no additional circuit losses are incurred in the filtering out of unwanted
harmonics. This helps minimize the conversion loss and provides a clean broadband signal
with a minimum of spurious signals.
1)
Even and Odd Harmonic Multipliers
Both odd and even harmonic frequency multipliers can be built. Each design employs a pair of
balanced, antiparallel, Schottky barrier diodes. The difference between the odd and the even
harmonic multipliers lies in the way in which the diodes are mounted. To achieve the odd harmonic multiplier two diodes are set in anti-parallel to ground and to both the input and the output
signals. When building an even harmonic multiplier, the diodes are set in anti-parallel to the
input signal, but they are in series to the output signal (ee Figures 39a and 39b).
When driven by the incoming RF signal the odd harmonic multiplier produces only odd harmonics of the input signal frequency. There is no DC voltage generated across the diode pair.
55
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Because of this there is no diode DC power dissipation loss and even harmonics are canceled
by symmetry. In a similar manner the even harmonic multiplier produces only even harmonics
with intrinsic odd harmonic cancellation.
RG
f0
Figure 39a.
RLOA
Odd Harmonic Multiplier
RG
Output
f0
Figure 39b.
2)
Even Harmonic Multiplier
Bridge Doubler
These design principles can also be applied to more than two diodes in a balanced configuration.
For example, bridge quads are commonly employed in bridge doubler circuits. i.e.
Input
Output
Figure 40.
Bridge Doubler
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Analysis of the harmonic content of the circuit reveals that only even harmonics of the input
signal are present at the output. The suppression of the odd harmonics of the input signal is
dependent upon the balance of the diodes in the bridge circuit (see figure 40).
Typical doubler conversion losses are in the range of 6 to 10 dB and dependent on drive levels.
Normally a bridge quad doubler can be used up to input powers of 15 to 20 dBm. Gallium
arsenide Schottky diodes are very well suited for bridge doublers because they usually have
higher reverse breakdown voltage and lower series resistance than similar silicon diodes.
L.
QUADRATURE PHASE MODULATORS
Quadrature phase modulators are used in many high capacity data links and radio relay equipment. A quadrature phase modulator can be built as shown in Figure 41. It uses two bi-phase
modulators (as described in Section I), a 90° hybrid and an in-phase combiner.
The carrier input is split by the hybrid and one port is delayed 90°. The modulation inputs are
DC voltage pulses through the IF port. These pulses are the 0° and 180° modulation inputs.
The lower modulation signal is delayed 90° (see figure 41). When combined, the signals
produce the 0°, 90°, 180° and 270° states. The output of this circuit is a single sideband,
suppressed carrier signal. All even and half of the possible odd harmonics are also suppressed.
Bi-Phase
Data Input #1
LO
Carrier
Input
-180°
0°
0°
0°
Power
-90°
3 dB
Hybrid
(90°)
-270°
-
Bi-Phase
Data Input #2
-90°
Figure 41.
SSB
Suppressed
Carrier
Output
-270°
0°
-
Quadrature Phase Modulator Block Diagram
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
M.
FREQUENCY DETERMINATION--A QUADRATURE IF MIXER
A quadrature IF mixer (QIFM) can be used to determine the relative frequency of two RF signals
or it can determine if the frequency of an RF signal is above or below that of a known LO signal.
A quadrature IF mixer can also be used as a phase detector if the two input signals have the
same frequency. Figure 42 shows the circuit of a typical QIFM.
The LO or known frequency is fed through an in-phase power divider to two quadrature mixers.
The unknown frequency enters through a 90° power divider. Because the unknown signal enters the two mixers 90° out of phase, the signals available at the IF ports will also vary by 90°. If
the unknown frequency is above the LO frequency, the signal from IF port 2 will lead the signal
from IF port 1. If the unknown frequency is below the LO frequency, the signal from IF port 2 will
lag the signal from IF port 1.
When the two input frequencies are equal the IF ports will only produce a DC voltage with the
output voltage proportional to the relative phase angle between the signals (see Figure 35).
There are many uses for QIFMs. The major applications are in phase detection, Doppler radar
systems, and quadrature phase shift keying (QPSK) demodulators. When the QIFM is used as
a phase detector, the IF outputs are proportional to the sine and cosine of the phase difference
of the two input signals. If these two signals are applied to the horizontal and vertical inputs of
an oscilloscope, the result will be a polar display of the magnitude and phase difference of the
two RF input signals.
When used in a Doppler radar system, the IF output of the QIFM will indicate the velocity of a
target, since with an approaching target, the return signal is higher in frequency than the LO and
lower in frequency when the target is receding from the radar system.
Another use of the QIFM is as a demodulator for digital QPSK signals. A sample of the carrier
signal is injected into the LO port as a reference. The QPSK modulated signal is applied to the
RF port. The two original bi-phase digital signals, 0°, 180° and 90°, 270° are extracted from the
IF output ports.
IF #1
0°
0°
LO Input
RF Input
0°
0°
Power
Figure 42.
-90°
IF #2
90° Power
Divider
Block Diagram of the Quadrature IF Mixer5
58
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
N.
SINGLE SIDEBAND MODULATORS12
Single sideband (SSB) modulators are used to modulate a carrier signal with a low frequency
baseband signal and transmit only one sideband.
Single sideband modulators are often used in digital cellular telephone transmitters. They provide
the interface between the digitally encoded voice and the RF transmission channel by converting
the I and Q signals from the channel codec into the RF signal that the telephone transmits. Essentially, they modulate a high frequency carrier with the lower frequency voice data to create all
forms of analog and digital modulation. Where practical, a direct modulation technique is preferred because it eliminates much of the filtering and LO requirements necessary for multiple up
conversion transmitter topologies.
The output signals of the symbol modulator, which are two orthogonal analog signals: an in-phase
(I) signal and a quadrature (Q) signal to accommodate phase information, are input to the I and Q
ports of the single sideband modulator. The amplitudes of these signals are analogous to the X
and Y values in a Cartesian plane. The modulation process is analogous to a rectangular-to-polar
coordinate conversion with the vector-summed I and Q transitions producing data-bit-specific RF
phase transitions. With proper scaling of the I and Q input ratios, the vector sum of the I and Q
channels forms a vector of any phase or amplitude.
In cellular radio systems, the channel carrier spacing is very narrow compared to the modulating
frequency. Therefore, the third harmonic of the modulating frequency must be suppressed to reduce interchannel interference. Unlike the QPSK modulator (as described in section L), the SSB
modulator must handle the data as a linear signal with the RF carrier acting as the higher power
level (LO) signal. For example, the DCS1800 and GSM standards use Gaussian minimum-shiftkeying (GMSK) modulation. GMSK makes use of band-limited modulating data to minimize the
requirement for output filtering at RF. Due to this band-limiting, the RF output is also band-limited
when a linear modulator is used. This enables the system to meet stringent channel bandwidth
requirements, thereby compressing many RF channels together to maximize user capacity.
A SSB modulator can be built as shown in Figure 43. The input carrier signal is applied to an inphase, 3 dB power divider selected for the frequency band of interest. The outputs of this power
divider feed two double balanced mixers with DC-coupled IF ports for audio modulation. The
modulating signal is applied to the IF ports of the mixers through an IF 90° 3 dB hybrid. The
outputs of the two mixers are combined by a 90° 3 dB hybrid covering the carrier signal band.
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Mixer A
Carrier
Input
0°
IF #1
0°
0°
-90°
-90°
IF #2
0°
In Phase
Power Divider
0
-90°
-90°
0
RF Output
90° 3 dB
Hybrid
Mixer B
Figure 43.
Block Diagram of the Single Sideband Modulator5
The output of the upconverter is fCARRIER +/- fIF (the carrier is suppressed). When the signal goes
through the 90° hybrid combiner, one of the two frequencies, fCARRIER + fIF or fCARRIER - fIF appears
out of phase and is canceled.
If the modulating signal is applied to:

IF1, the upper side band is produced at the RF output.

IF2, the lower side band is produced at the RF output.
The sidebands can be easily switched by selecting the IF port to which the modulating signal is
applied.
When using a single sideband modulator the balance of the phase and amplitude relationships
between the mixers is critical to obtain high suppression of the unwanted sideband. It may be
necessary to trim the signal path lengths and losses to get good suppression. A value of 20 to
25 dB is obtainable over narrow bands, i.e. 5 to 10% bandwidth. Normally the IF hybrid design
is not critical and 1 to 1000 MHz hybrids work well.
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
A.
FREQUENCY TERMS
1)
Signal Frequency (RF)
Signal Frequency is the frequency of the desired RF or microwave signal onto which information
has been modulated. This is the frequency that is to be converted to a different (normally lower)
frequency.
2)
Local Oscillator Frequency (LO)
The local oscillator frequency is the frequency of the signal which provides the RF bias to the
mixer diode(s). The LO signal is normally at a higher power level than the signal frequency
power. An optimum local oscillator power is required to obtain low conversion loss and good RF
match to the mixer diode(s). Optimum local oscillator powers are in the range of -3 to +10 dBm
for most common diodes.
3)
Intermediate Frequency (IF)
The IF frequency is the desired output frequency from the mixing process and is normally the
difference between the LO and RF signal frequencies, LO-RF or RF-LO. When an upconverter
is used the IF is the baseband modulating signal.
4)
Image Frequency
The image frequency (fIM )is the frequency at which a (typically) unwanted signal is produced by
the interaction of the RF signal and the second harmonic of the LO signal, 2fLO - fRF or fLO + fIF
(see Figure 44). In most mixers, the image frequency signal is terminated in a broadband termination. Since most mixers have reciprocity, termination of the image causes loss of half the signal power. This is the reason that the minimum diode conversion loss is > 3.0 dB unless an image enhancement circuit is used. The four frequencies of a normal diode mixer are illustrated
below.
DC
LO
Signal
Amplitude
Image
Conversion
Loss (LC)
IF
Frequency
IF
Figure 44.
IF
Mixer Frequency Relationships
61
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
B.
TYPES OF MIXERS BY FREQUENCY OUTPUT
1)
Down Converter (Mixer)
In a down converter (usually simply called a mixer) the desired IF output signal is obtained from
the difference of the LO and RF signal frequency. Normally it is at only a small fraction of the
signal frequency.
2)
Up Converter (Modulator)
In an up converter the input signals will be the LO and the IF signals. The RF output signal is
the LO + IF. Normally the IF signal is modulated prior to up conversion.
C.
MIXER DIODE TERMS (CHARACTERISTICS)
1)
Conversion Loss
Conversion loss is the loss of signal power that results from the conversion from the RF signal
frequency to the IF frequency in a down converter or conversion from the IF signal frequency to
the RF frequency in an up converter. It is defined as a power ratio:
(52a)
LC
IF Output Power
RF Signal Input Power
Conversion loss may also be expressed in dB:
(52b)
IF Output Power
L
C
10 log
RF Signal Input Power
When referred to a mixer diode, it is the loss in an optimum single ended mixer carefully
designed to minimize losses in the RF and LO coupling networks. Conversion loss normally
includes power transferred to the image frequency which is resistively terminated.
2)
Noise Figure
The noise factor and noise figure (NF) of a mixer diode are closely related to its conversion loss.
Noise factor and noise figure are usually measured single sideband in a single ended mixer.
Noise factor is the ratio of the signal to noise ratio at the mixer input to the signal to noise
ratio at the mixer output.
62
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
(53)
Signal in
Noise_factor
Noise in
Signal out
Noise out
(54)
NF
10 . log L C T M
f IF
1
where:
LC = diode conversion loss (expressed as a power ratio)
TM
= diode effective temperature ratio (normally < 1.0)
fIF
= IF amplifier noise figure (expressed as a ratio)
Normally this simplifies to N F ~ 10 log LC (fIF-1)
For a perfect mixer diode, NF( in dB) = 3.0 dB plus the IF amplifier noise figure and any circuit
losses.
3)
SWR or Match
SWR or match refer to the input standing wave ratio (SWR) of a single diode in a fixed tuned
holder at the LO frequency. This is normally stated at a fixed LO drive, normally enough to
produce ~1 mA of rectified current.
4)
IF Impedance
IF impedance is the average of the time varying impedance of a mixer diode at a nominal IF frequency (usually 30 MHz). It is measured with an admittance bridge at a fixed rectified current
(normally 1 mA) set up by the LO drive. Most Schottky diodes will have IF impedances in the
range of 150-400 ohms at 1 mA.
5)
Burn Out
Mixer diodes can be destroyed by static discharge or excessive incident RF power. Most
Schottky diodes fail by becoming a short circuit. Burn out is defined as the maximum RF power
which the diode can withstand without damage. It normally is in the range of 50 to 500 mW CW
and up to 1 to 5 watts for pulses less than 2 to 5 nanoseconds long.
63
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
6)
1/f or Flicker Noise
The effective noise temperature ratio (TM) of most Schottky diodes is normally close to thermal,
i.e. equal to that of a resistor of the same impedance at intermediate frequencies above 100 kHz
to 1 MHz. However, as the IF frequency is reduced below 100 kHz to 1 MHz, the noise temperature ratio begins to rise rapidly. It normally increases as the inverse of the IF frequency.
This rise increases the noise figure of the diode at low frequency because NF = 10 log (LC Tm +
LC (flF -1)). Diodes designed for low audio frequencies normally will have 1/f noise specified at a
single frequency, i.e. 100 Hz or 1 kHz as required by the system.
7)
Barrier Height
Barrier height is the difference between the work function of the metal and the electron affinity in
the semiconductor9. Barrier height is expressed in term of volts or electron volts.
The barrier height of a Schottky junction determines the I/V characteristics of that diode. This
can be important because it determines the local oscillator power necessary to bias the junction
to its optimum nonlinear operating point. As an approximation. the optimum local oscillator
power will increase as the square of the barrier height, provided the same mixer circuit characteristics and junction capacitance values are used. Table I shows a list of the barrier heights of
many metals and metal-silicide systems used for microwave mixer diodes. Figures 48 & 49
show the approximate local oscillator power requirement vs. barrier height.
D.
DETECTOR DIODE CHARACTERISTICS
1)
Tangential Signal Sensitivity (TSS)
The tangential signal sensitivity is a direct measure of the signal to noise ratio of a detector and
it defines the maximum sensitivity of a detector. It is defined as the input power at which a signal to noise ratio of 2.5:1 is produced. TSS usually is measured on an oscilloscope (see below).
Because it is a noise measurement the amplifier bandwidth must be defined. Usually this is 1
MHz. It is expressed in dBm (i. e., -55 dBm).
Applied Small
Signal
4 dB
Figure 45.
Noise Floor
TSS
64
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
2)
Voltage Sensitivity (γ)
Voltage sensitivity (γ) is a measure of the output voltage available at a standard input power
using a defined load resistance (usually 1 megohm). It is normally measured in the square law
range of the diode, typically with PIN = -30 dBm. Voltage sensitivity is given in mV/mW.
3)
Video Impedance (RV)
Video impedance of a detector diode is the Norton equivalent impedance of the diode when it is
modeled as an RF-input-voltage-controlled current source. The video impedance of a diode is
affected by the DC current flowing in the diode. It is normally specified with a given small DC
current, i.e., from 1 to 100 microamperes.
Some ZBD (Zero Bias Detector) diodes are used without an externally applied bias current.
Normal video impedances for these diodes can range from 1-2 kilohms to megohms. The video
impedance can affect the pulse fidelity of a video detector as the RC time constant of the amplifier/detector depends on RV and the bypass capacitor.
The video resistance of a diode is the slope (AC) resistance of a detector diode. It will
determine the voltage sensitivity of a detector diode.
The video impedance of a diode is the RF impedance looking into the diode from the video
amplifier. It is used to match the detector to the video amplifier.
E.
RECEIVER SYSTEM CHARACTERISTICS
1)
Receiver Sensitivity
The following equation for the sensitivity of a receiver shows the parameters which affect a
receiving system's sensitivity:
(55)
S = -114 + NFO + 10 logl0 B + 10 log10 (S/N)
where:
S
= receiver sensitivity in dBm
B
NFo
S/N
= receiver bandwidth in MHz
= receiver overall noise figure in dB
= minimum acceptable receiver output signal-to-noise ratio in dB
65
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
2)
Doppler Shift
Doppler radars utilize the fact that RF energy reflected by a moving target is apparently shifted
in frequency as a result of the relative motion between the source and reflecting target. The
amount of this frequency shift is directly proportional to the target's velocity relative to the radar's
transceiver. The same effect occurs with sound waves when an automobile sounding its horn is
moving with respect to an observer. The sound pitch is higher when the horn is moving toward
the observer and decreases as it moves away. The Doppler shift frequency fd is given by:
(56)
fd
2.v.
f0
c
. cos
where:
f0
= transmitter frequency in Hz
c
= velocity of light (3 x 108 meters per second)
v
= velocity of the target (meters per second)

= angle between microwave beam and target's path
Note: CosΦ = 1 when the target moves directly toward or away from the signal transceiver.
Velocity v is expressed as a vector so it determines the sign of the Doppler shift frequency.
3)
Typical Doppler Radar System
A typical Doppler radar system consists of an RF (i.e., microwave) section, a signal processing
section and a bias supply.
In order to design a Doppler radar system, one must first know:
1. The maximum range at which the target is to be detected. This determines the overall sensitivity required of the transceiver.
2. The maximum and minimum target speeds that the system is to measure. This determines
the required frequency characteristics of the IF amplifier.
66
The commercial Doppler systems such as police radars and intrusion alarms usually operate
with a "zero IF" because the transmitter source (often a Gunn oscillator) is also used as the local oscillator for the mixer. Using this technique, the signal amplification is most easily applied
to the IF signal at the Doppler shift frequency. For example, if the transmitter frequency is
10.525 GHz, a vehicle traveling 50 mph (80.5 km/hour) will cause a Doppler shift of 1568
Hz. A police radar's IF amplifier bandpass frequency should be approximately 50 Hz to
5000 Hz.
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
The maximum range of a radar system can be determined by the following equation:
(57)
1
R max
P t. G a . K
4
F
where:
Pt = transmitted power
G
a
= antenna gain expressed as a ratio
F
= receiver noise figure expressed as a ratio
K
= a constant
This expression shows that the effective range of a radar system is inversely proportional to the
fourth root of the overall receiver noise figure.
67
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
VSWR
Mixer Type
Single
Ended
Single Balanced
(180°)
Single
Balanced
(90°)
Port-to-Port Isolation
RF
LO
IF
Depends on Matching Circuits
RF/IF
Depends
on
Filters
Depends
on
Filters
Depends on Matching Circuits
Good
Double
Balanced
DoubleDouble
Balanced
Good
Depends
on
Matching
Circuits
Image Reject
Poor
Depends
on
Filters
Depends
on
Filters
P1dB
Low
Moderate
Moderate
Moderate
Moderate
Good
High
High
Good
Good
Highest
Highest
Moderate
Low
Very High
High
Good
Depends
on
Filters
Good
Depends
on
Filters
LO Spurious
Signal
Rejection
Depends on
Matching
Circuits
Depends on
Matching
Circuits
3rd Order
IM
Intercept
Good
Good
High
Double
Balanced
DoubleDouble
Balanced
Good
Good
High
Good
Good
Highest
SubHarmonic
Good
Depends on
Matching
Circuits
Low
Rejects all mixing with odd harmonics
Image
Reject
Good
Good
High
2fLO ± 2fRF : Good
2fLO ± fRF : Good
fLO ± 2fRF : Good
Mixer
Type
Single
Ended
Single
Balanced
(180°)
Single
Balanced
(90°)
LO AM
Noise
Rejection
Poor
LO Power
Requirement
Low
Good
Depends
on
Matching
Circuits
Good
SubHarmonic
LO/RF
LO/IF
Depends on Filters
None
Good
Table I4
Low
Moderate
Low order Spurious
Response Rejection
None
2fLO ± 2fRF : Good
2fLO ± fRF : Good if Designed to Suppress LO Harmonics
fLO ± 2fRF : Good if Designed to Suppress LO Harmonics
2fLO ± 2fRF : Good
2fLO ± fRF : None
fLO ± 2fRF : None
2fLO ± 2fRF : Good
2fLO ± fRF : Good
fLO ± 2fRF : Good
2fLO ± 2fRF : Good
2fLO ± fRF : Good
fLO ± 2fRF : Good
Comparison of the Characteristics of Common Mixer
Circuits
68
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
Type of Mixer
or System
Millimeter Receiver
Mixers
Millimeter Up Converter
Frequency Range
20 - 100 GHz
20 - 100 GHz
Subharmonic
Mixer
20 - 100 GHz
High Dynamic
Range Mixers
100 MHz - 12 GHz
10 - 20 GHz
Modulator or
Sampling Switch
10 MHz - 5 GHz
Balanced Mixer
Double Balanced
Mixer
1 - 18 GHz
Starved LO Mixer
1 - 18 GHz
1 - 18 GHz
Phase Detector or
Bi Phase Modulator
100 MHz - 18 GHz
Image Reject Mixer
1 - 18 GHz
Table II
Suggested Diode Types
GaAs Beam Lead
GaAs Flip Chip
GaAs Beam Lead
GaAs Flip Chip
GaAs Beam Lead
GaAs Flip Chip
Si Dual Barrier
Packaged or Beam Lead
GaAs Ring Quad
Beam Lead or Flip Chip
SI or GaAs Bridge Quad
Packaged or Beam Lead
Si - Packaged, Beam Lead or
SurMount
Si - Packaged, Beam Lead or
SurMount
Si - ZBD or Low Barrier
Packaged, Beam Lead or
SurMount
Si - Packaged, Beam Lead or
SurMount
Si Ring Quad - Packaged,
Beam Lead or SurMount
Comments
Best noise figure
Lower conversion loss allows higher output
power
Better conversion loss, noise figure and dynamic range
Highest dynamic range. However, noise
figure is a little worse above 10 GHz due to
extra Rs of 2nd junction
Good IM3, better conversion loss than Si.
Larger LO drive than required by Si.
GaAs can have higher VB than Si but also
has higher VF than Si
Si less expensive than GaAs, operates with
lower LO power
Si less expensive than GaAs, operates with
lower LO power
Lowest LO drive requirement
Match and symmetry of a monolithic quad
are better than that of discrete quad
Match and symmetry of a monolithic quad
are better than that of discrete quad
Selection Guide for Diode Configuration and Material by
Type of System
69
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AG314
Principles, Applications and Selection of Receiving Diodes
Rev. V1
References
1. Dr. A. Carlson, “Principles of Receiving Diodes”, M/A-COM Receiving Diode Handbook, 1980
2. W. Moroney, “Overview of Subharmonic Mixers”, M/A-COM Receiving Diode Handbook, 1980
3. M. Cohen et al, “Harmonic Mixers with Anti Parallel Diode Pairs”, MTT International Symposium, pp. 171 - 172, 1974
4. J. F. Reynolds, Learn the Language of Mixer Specifications”, Microwave Magazine, vol. 17,
May, 1978
5. M/A-COM Mixer Products catalog, 1986
6. Y. Anand & W. Moroney, “Microwave Mixer and Detector Diodes”, Proc. IEEE, vol. 59, pp.
1182 - 1196, August, 1970
7. C. F. Genzabella & C. Howell, “Gallium Arsenide Schottky Mixer Diodes”, Symposium on
GaAs, 1966
8. S. A. Maas, “Microwave Mixers”, Artech House, 1986
9. S. M. Sze, “Physics of Semiconductor Devices”, 2nd edition, John Miles and Sons, 1981
10. D. Held & A. Held, “Conversion Loss and Noise of Microwave and Millimeter Mixers”, IEEE
Transactions, MTT-26, pp. 49 - 61, 1978
11. Y. Anand & C. Howell, “The Real Culprit in Diode Failure”, Microwaves, August, 1970, pp. 1
-3
70
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