AN190 - Infineon

Low Barri er RF Sch ottk y Dio d e BAT2 4
Mi xe r f or FMCW Ra dar at 2 4 GHz
Application Note AN190
Revision: V1.0
Date: 22-01-2010
RF and Protecti on Devi c es
Edition 15-02-2010
Published by
Infineon Technologies AG
81726 Munich, Germany
© 2010 Infineon Technologies AG
All Rights Reserved.
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Application Note AN190
Mixer for FMCW Radar at 24GHz
Confidential
Application Note AN190
Revision History: 15-02-2010
Previous Revision: Previous_Revision_Number
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Subjects (major changes since last revision)
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Low Barrier RF Schottky Diode BAT24-02LS
Mixer for FMCW Radar at 24GHz
Confidential
List of Tables
Table of Contents
1
Introduction ........................................................................................................................................5
2
2.1
2.2
RF Schottky Diode .............................................................................................................................6
Low Barrier RF Schottky Diode BAT24-02LS ......................................................................................7
Diode Mixer ..........................................................................................................................................9
3
3.1
3.2
Transfer Mixer used as Down Converter for FMCW Radar (24GHz) .............................................9
Design Concept of Transfer Mixer for RF Down Conversion...............................................................9
Simulation Results..............................................................................................................................11
List of Figures
Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Current status of worldwide frequency allocation for mm wave radar for automotive application .......5
Passive transfer single pole Mixer concept used for frequency down conversion ..............................6
Forward transmission characteristic of the Schottky diode..................................................................8
The serial resistance Rs causes at high currents (Ih) a voltage drop ∆U between the extrapolated
straight line and the measured I(U) curve. The ideality factor n corresponds to the gradient of the
IU-characteristic in forward operation and can be extracted within the linear region of the log(I(U))
diagram ................................................................................................................................................8
Transmitted and received signals of a Frequency Modulated Continuous Wave radar ......................9
Circuit for frequency down conversion from 24GHz to 200kHz achieved by the low barrier Schottky
diode BAT24-02LS .............................................................................................................................10
PCB structures on RO3003................................................................................................................11
IF and RF spectral representation by applying the Harmonic Balance (HB) simulation....................12
Conversion loss and bias current over bias voltage are depicted .....................................................12
Conversion Gain in dependence of the incident LO power from the local oscillator. Sufficient LO
amplitudes are needed in order to switch the RF signal on and off...................................................13
Conversion Gain in dependence of the received RF power from the antenna. The dynamic range is
limited by the noise which was not included. .....................................................................................13
List of Tables
Application Note AN190, V1.0
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Application Note AN190
Mixer for FMCW Radar at 24GHz
Confidential
1
Introduction
Device:
Low Barrier RF Schottky Diode BAT24-02LS
Application:
Mixer for FMCW Radar at 24GHz
Automotive radar provides both a direct avoidance of collision and advanced driver assistance system functions
like parking aid, blind spot surveillance or lane change support functions, respectively. The commercialization of
automotive radar systems became feasible in the 90`s. All of these systems are operating above 17GHz
whereas the most prominent radar applications are operating at 77GHz and 24GHz.
This application note for mixer diode is focusing on automotive radar systems at 24GHz. Any device operating
in this 24GHz ISM band must meet the existing regulations, which are given by the harmonized standards ETSI
EN 302 288 in Europe [1]. Presently, the UWB (Ultra Wide Band) radar application at 24GHz frequencies is
limited in time until 2013 except the narrow band at 24GHz. The UWB 24GHz radar system will be transferred to
77GHz (see Figure 1).
Europe (ETSI)
North America (FCC) Japan
UWB SRR (Short Range Radar)
Freely Available
Freely Available
24GHz/26GHz
Sunset Date in 2013
Narrowband
Freely Available
Freely Available
Freely Available
Freely Available
Freely Available
Freely Available
Pending
Pending
Pending
24GHz
LRR (Long Range Radar)
77GHz ACC
UWB SRR
79GHz
Figure 1
Current status of worldwide frequency allocation for mm wave radar for automotive
application
The complex and sometimes confusing but required regulations ensure a consistent and harmonious spectrum
allocation which support sensor development without interfering with other systems.
For the signal processing a frequency down conversion from 24GHz to the kHz range is needed in order to
enable data processing of the transmitted and received signals like corresponding frequency or phase shifts of
FMCW (Frequency Modulated Continuous Wave) radar systems or time delays for pulsed radar systems. This
frequency down conversion can be realized by active mixers like Gilbert cells or passive mixers (e.g. diode
mixers). Diode mixers can be applied over a remarkable range of frequencies and especially they are the best
choice, if frequency conversion must be established in the mm wave range.
This application note is presenting a low barrier Schottky diode BAT24-02LS from Infineon Technologies where
the Si-die is housed in TSSLP-2-1 a very thin and small leadless package [2]. This device was especially
processed for the high frequency range with low parasitic which guarantees a cost-effective, reliable, and
flexible solution for the proposed single pole transfer mixer. However, this application is only suitable for FMCW
Radar systems with mono-static antennas instead of bi-static antennas. The design concept for a single signal
branch includes one Schottky diode together with PCB related RF structures like quarter wave transmission
lines, RF stubs, and interdigital capacitors on a low loss RF substrate material.
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Application Note AN190
Mixer for FMCW Radar at 24GHz
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Figure 2
Passive transfer single pole Mixer concept used for frequency down conversion
Figure 2 shows a simplified circuit consisting of a VCO (Voltage Controlled Oscillator) which generates for
simplicity a linear chirp as shown in Figure 5. This generated LO (Local Oscillator) signal of the VCO is used in
the mixer application as a pump signal in order to drive the nonlinear device in conductive and non-conductive
state alternatively.
After the VCO a 3dB power splitter is used in order to split the signal. For each single branch the pump signals
are transmitted through the Schottky diode to the mono-static antennas. The mono-static antenna is used for
both transmitting the LO signal and receiving the reflected LO signal from the object. The time delay during the
pass to the target and back to the antenna is represented by a frequency shift of the FMCW signal (see also
Figure 5). At least two antennas are required for calculating the position (distance and angle) of the target.
2
RF Schottky Diode
The device characteristic of the Schottky diode is similar to a typical one sided abrupt pn diode which follows the
same current voltage characteristic as being shown in equation (1). However, there are some magnificent
differences between the pn junction diode and the Schottky diode. For example, the Schottky diode exhibits a
lower forward voltage drop (0.15V to 0.45V) than the pn diode (0.7V to 1.7V). Furthermore, the voltage drop of
Schottky diodes in forward direction can be adjusted by the applied contact material and also zero biased
Schottky diodes can be processed based on p-doped materials.
Moreover, pn junction diodes belong to minority semiconductor devices suffering on the recombination velocity
of the minority carriers in the space charge region, whereas, the Schottky diodes are controlled by the charge
transport over the barrier from the majority carriers. This leads to very fast switching action of the Schottky
diodes and makes it very attractive for RF application in the mm wave range like mixers.

 qU d  
 − 1
I = I S (T ) ⋅  exp
 nkT  

(1)
(k: Boltzmann factor, n: ideality factor, IS: saturation current, Ud: voltage, T: temperature)
17
In normal forward operation at room temperature and moderate doping concentration (Nd < 10
following charge transports can be identified:
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15-02-2010
Application Note AN190
Mixer for FMCW Radar at 24GHz
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−
−
−
−
Transport of electrons from semiconductor over the barrier to the metal
Tunneling of electrons through the barrier
Recombination in the space charge region
Injection of holes from the metal to the semiconductor
The ideality factor n corresponds to the gradient of the IU-characteristic in forward operation and can be
extracted within the linear region of the log(I(U)) diagram as shown in Figure 4. Furthermore, the nonlinear
behavior of the device corresponds to the fast switching from the conductive state to the non-conductive state
by the LO signal. As the ideality factor n increases the nonlinearity of the device is reduced and the capability for
frequency mixing is reduced as well. Therefore, for mixer application the ideality factor of the Schottky diode
should be as small as possible, typically, smaller than 1.1.
The voltage dependent junction capacitance Cj follows the equation (2) with the model parameter Uj which
refers to the junction voltage and M as the grading coefficient (Μ = 0.5 for a uniformly doped diode).

U 
C j (U d ) = C j 0 ⋅ 1 − d 

U j 

−M
(2)
Based on the small signal equivalent circuit the frequency conversion is also directly influenced by the serial
resistance Rs and the junction capacitance Cj as shown in equation (3). Both Cj0 and Rs should be as small as
possible and this characteristic figure of merit is represented by the cutoff frequency fc which should be as high
as possible (3). The serial resistance Rs decreases and the junction capacitance Cj0 increases by increasing the
device area A so that a first order analysis shows that the cut off frequency is independent of the junction area.
However, second order effects reveal that the cut off frequency can be increased by decreasing the junction
area.
These and the non-linear junction capacitance Cj affect the mixer performance directly so that we have to
optimize the Schottky diode appropriately in order to meet the mixer specification.
2.1
Low Barrier RF Schottky Diode BAT24-02LS
If the diode is used in a circuit simulator, the diode is typically implemented by a spice netlist. Below, an extract
of the spice model for the silicon die including package parasitic is shown for the product BAT24-02LS (basic
type BAT24).
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
.SUBCKT BAT24_02LS 1 2
.MODEL Dmain D(IS=94.26nA N=1.039 Tt=0.1fs Cjo=106.3fF Vj=0.1 M=0.497 Fc=.5
Msw=0.33 Fcsw=0.5 Xti=2.5 Eg=0.69 Tnom=25)
.Model Dsat D(Is=60mA N=0.5 Cjo=1f Xti=2.5 Eg=0.69 Tnom=25)
.Model Dlow D(Is=1pA N=2 Xti=2.5 Eg=0.69 Tnom=25)
.Model Drev D(Is=12.9uA N=45 Cjo=1fF Xti=2.5 Eg=0.69 Tnom=25)
Rs1
21 22 2.00
Rs2
1 10 3.50
Ls2
10 11 1.80e-10
Ls1
11 12 1.15e-10
Cp11 11 31 7.45e-14
Rp11 31 2 3.43
Cp2
1 2 2.40e-14
Rp1
11 2 6.13e+7
Dmain 22 2 Dmain
Drev 2 12 Drev
Dsat 12 21 Dsat
Dlow 21 2 Dlow
.ENDS BAT24_02LS
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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Application Note AN190
Mixer for FMCW Radar at 24GHz
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The dc characteristics of the diode are determined by the saturation current IS and the ideality factor N (n)
which also represents the nonlinear characteristic of the device. The distributed bulk resistance of
Rs1+Rs2=5.5Ω is included which describes the IU-characteristic of the device beyond 400mV which is leading
to current limitation. This can easily be seen by replacing the internal applied voltage Ud by Uext – I · RS in
equation (1) whereas Uext refers to the external applied voltage. Charge storage effects are modeled by the
transit time, TT, and a nonlinear depletion layer capacitance which is determined by the parameters CJO, VJ,
and M. The temperature dependence of the saturation current is defined by the parameters EG, the activation
energy and XTI, the saturation current temperature exponent. The nominal temperature at which these
parameters were measured is TNOM=25°C.
The diode is housed in an extremely low parasitic TSSLP-2-1 package with small variation on wire bond length
and wire bond shape.
The RF Schottky diode was optimized regarding junction capacitance and the serial wire bond inductance so
that a serial resonance occurs at 24GHz as being shown in Figure 3.
Figure 3
Forward transmission characteristic of the Schottky diode
The nonlinear voltage current characteristic is depicted in Figure 4.
Figure 4
The serial resistance Rs causes at high currents (Ih) a voltage drop ∆U between the
extrapolated straight line and the measured I(U) curve. The ideality factor n corresponds to
the gradient of the IU-characteristic in forward operation and can be extracted within the
linear region of the log(I(U)) diagram
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2.2
Diode Mixer
The harmonic balance (HB) method is typically used for the simulation and optimization of mixer circuits. The
circuit is split into a nonlinear sub-circuit and linear sub-circuit and the large signal solution is iteratively found by
numerical methods and consists of the harmonics for the current and voltage waveforms [3].
Figure of Merits for BAT24-02LS
a) Cutoff frequency: 230GHz
ωc =
1
Rs C j 0
(3)
b) Conversion Loss: 9dB
Lc , dB = Pin , dB ( f rf ) − Pout , dB ( f if )
3
(4)
Transfer Mixer used as Down Converter for FMCW Radar (24GHz)
This application is focusing on FMCW Radar. The instantaneous difference between the transmitted and
received frequencies, ∆f is measured as shown in Figure 5. This difference is direct proportional to the time
delay ∆t of the radar signal to reach the target and return back to the mono-static antenna. Afterwards the
distance from the antenna to the target can be calculated by the frequency shift.
Figure 5
Transmitted and received signals of a Frequency Modulated Continuous Wave radar
3.1
Design Concept of Transfer Mixer for RF Down Conversion
For simplicity, the transfer characteristic of the incident and reflected waves from antenna to the target and vice
versa is replaced by a second RF signal generator operating at frf = fIF + flo and a circulator (only used for the
simulation). The other devices can easily be realized by standard PCB technology (e.g. RO3003 from Rogers).
The circuit is now described at DC (0Hz), IF (200kHz), and RF (24.0002GHz) / LO (24GHz):
− at DC: the correct biasing of the diode can be accomplished by a serial resistance of 2.75kOhm together
with a dc voltage source of 4V. The current loop is closed over the transmission line DA_Mline2.
− at IF: die RF signal is down converted to the intermediate frequency (IF). The ohmic IF source impedance
Zif is not transformed over the DA_Mline2 (frf/fif = 120000) and therefore directly connected on the diode.
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Application Note AN190
Mixer for FMCW Radar at 24GHz
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Moreover, the RF butterfly structure (shunted capacitor) is only a short for the LO and RF signals whereas
the IF signal is not affected by this ground.
− At RF and LO: all shorts are transformed by the λ/4 lines into an open so that this signals are directly
transferred to the RF source and back.
The interdigital capacitor is used for dc blocking and can also be realized on PCB.
The presented solution combines the benefits of PCB concept together with the RF Schottky diode so that a
very cost effective and flexible solution can be offered. This approach requires no isolation between the RF and
LO sources and is therefore different to other concepts where hybrids or filters are used in order to achieve high
isolation between the RF and IF sources.
Figure 6
Circuit for frequency down conversion from 24GHz to 200kHz achieved by the low barrier
Schottky diode BAT24-02LS
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Application Note AN190
Mixer for FMCW Radar at 24GHz
Confidential
Figure 7
PCB structures on RO3003
3.2
Simulation Results
The harmonic balance simulation was carried out under ADS2008 with following constraints:
− Transmitted RF power of 3dBm (PLO) from the local oscillator at 24GHz
− Received RF power of -30dBm (Prf) from antenna which corresponds to the RF source at 24.0002GHz
The simulation results are shown in the following figures:
In Figure 8 the RF and IF spectra are shown by applying a LO power of 3dBm. The RF power at 24.0002GHz is
frequency down-converted to the intermediate frequency fif. The passive down-conversion exhibits a conversion
loss Lc of about 9dB. After Figure 8 also additional harmonics at fnm = n · flo ± m · frf are generated whereas the
intermediate frequency corresponds to fif = f(-1,1) = 200kHz. The IF-power refers to the impedance Zif of
50Ohm. Additional filter structures can be used in order to suppress unwanted harmonics.
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Application Note AN190
Mixer for FMCW Radar at 24GHz
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Figure 8
IF and RF spectral representation by applying the Harmonic Balance (HB) simulation
The capability of frequency conversion of the diode is represented by the conversion loss Lc.after (4). In Figure
9 the conversion loss and dc bias current over bias voltage are shown. Proper biasing can improve the
conversion loss. For that we assumed a dc bias voltage of 4V which determines the required serial resistance of
2750 Ohm.
Figure 9
Conversion loss and bias current over bias voltage are depicted
In the following Figure 10 the conversion loss over PLO is shown. The LO signal (pump signal) must drive the
nonlinear device in strong conductive and strong non-conductive states alternatively. Therefore, the LO signal
must be higher than 3dBm but lower that 25dBm so that a conversion loss of lower than 10dB can be obtained.
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Application Note AN190
Mixer for FMCW Radar at 24GHz
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Figure 10
Conversion Gain in dependence of the incident LO power from the local oscillator.
Sufficient LO amplitudes are needed in order to switch the RF signal on and off
Figure 11 shows the conversion loss over the RF input power. Because of neglecting noise in the simulation the
conversion loss is not restricted towards very low RF input power. At RF input power larger than -6dBm (1dB
compression point) the linear down-conversion is not anymore guaranteed so that the frequency conversion
ends in compression.
Figure 11
Conversion Loss in dependence of the received RF power from the antenna. The dynamic
range is limited by the noise which was not included.
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Links and References
[1]
http://etsi.org
[2]
Datasheet - BAT24: http://www.infineon.com/cms/en/product/
[3]
Stephen A. Maas, “Microwave Mixers”, Artech House, Boston - London, 1993
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AN190