FREQUENCYDEVICES D828H8EX-3

D828 Series
1.0 Hz to 102.4 kHz
8-Bit Programmable
2" x 2"
Differential Input
8-Pole Filters
Description
The D828 Series are digitally programmable lowpass and high-pass active filters with differential
input that are tunable over a 256:1 frequency range.
D828 filters are available with any one of five
standard factory-set tuning ranges or 8-bit custom
ranges from 1.0 Hz to 102.4 kHz. These units contain 8 CMOS logic inputs.
All D828 Series models are convenient, low profile,
easy to use fully finished filters which require no
external components or adjustments. They feature
low harmonic distortion, and near theoretical phase
and amplitude characteristics. D828 filters operate
from non-critical ± 12 to ± 18 Vdc power supplies,
have a 10 kΩ (min.) input and a 10 Ω (max.) output
impedance.
Features/Benefits:
• Compact 2" x 2" design minimizes board space
requirements.
• Low harmonic distortion and wide signal-to-noise
ratio to 16 bit resolution.
• Digitally programmable corner frequency allows
selecting cut-off frequencies specific to each
application.
• Plug-in ready-to-use, reducing engineering
design and manufacturing cycle time.
• Factory-set tuning range, no external clocks or
adjustments needed
• Broad range of transfer characteristics and corner
frequencies to meet a wide range of applications.
Applications
• Anti-alias filtering
• Data acquisition systems
• Communication systems and electronics
• Medical electronics equipment and research
• Aerospace, navigation and sonar applications
• Sound and vibration testing
• Real and compressed time data analysis
• Noise elimination
• Signal reconstruction
Programmable Specifications:. . . . . . . . . . . . . Page
Digital Tuning & Control . . . . . . . . . . . . . . . . . . . . . 2
Available Low-Pass Models: . . . . . . . . . . . . . . . . . .
D828L8B 8-pole Butterworth . . . . . . . . . . . . . . . 3
D828L8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . 3
D828L8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . 3
D828L8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . 3
D828L8L 8-pole Bessel . . . . . . . . . . . . . . . . . . . 4
D828L8D60 8-pole constant delay (-60dB). . . . . . . 4
D828L8D80 8-pole constant delay (-80dB). . . . . . . 4
D828L8D10 8-pole constant delay (-100dB) . . . . . . 4
Available High-Pass Models: . . . . . . . . . . . . . . . . . .
D828H8B 8-pole Butterworth . . . . . . . . . . . . . . . . 5
D828H8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . 5
D828H8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . 5
D828H8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . . 5
General Specifications:
Ordering information . . . . . . . . . . . . . . . . . . . . . . . . 6
Pin-out/package data . . . . . . . . . . . . . . . . . . . . . . . . 6
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] • Web Address: http://www.freqdev.com
D828 Series
Digital Tuning &
Control Characteristics
8-Bit Programmable Filters
Digital Tuning Characteristics
Pin-Out Key
The digital tuning interface circuits are a parallel set of eight
(8) 4053 CMOS switches which accept CMOS compatible
inputs for the eight tuning bits (D0 - D7).
IN
OUT
GND
+Vs
-Vs
Os
Filter tuning follows the tuning equation given below:
7
6
5
4
fc = ( fmax/256 ) [ 1 + D7 x 2 + D6 x 2 + D5 x 2 + D4 x 2 +
3
2
1
Analog Input Signal
Analog Output Signal
Power and Signal Return
Supply Voltage, Positive
Supply Voltage, Negative
Offset Adjustment
D7 Tuning
D6 Tuning
D5 Tuning
D4 Tuning
D3 Tuning
D2 Tuning
D1 Tuning
D0 Tuning
0
D3 x 2 + D2 x 2 + D1 x 2 + D0 x 2 ]
where D1 - D7 = "0" or "1", and
fmax = Maximum tuning frequency;
fc = corner frequency;
Minimum tunable frequency = fmax/256 (D0 thru D7 = 0);
Minimum frequency step (Resolution) = fmax/256
Bit
Bit
Bit
Bit
Bit
Bit
Bit
Bit
7 (MSB)
6
5
4
3
2
1
0 (LSB)
OUT +Vs -Vs
D7
D6
D5
D4
Data Input Specifications
Input Data Levels
GND
2.00
D3
(CMOS Logic)
D2
Input Voltage (Vs = 15 Vdc)
Low Level In
0 Vdc min.
High Level In
11 Vdc min.
4 Vdc max.
15 Vdc max.
Input Current
High Level In
Low Level In
- 10 µA typ.
-5
+10 µA typ.
-1 µA max..
+1 µA max.
Input Capacitance
5 pF typ
7.5 pF max.
Input Data Format
Frequency Select Bits
Positive Logic
Logic "1" = +Vs
Logic "0" = Gnd
Bit Weighting
D0
D7
(Binary-Coded)
LSB (least significant bit)
MSB (most significant bit)
Frequency Range
256 : 1, Binary Weighted
-5
D1
D0
+IN -IN Os
MSB
7
--6
--5
4
--4
--3
--2
--1
LSB
0
Bit
Weight
2
2
2
2
2
2
2
2
D7
D6
D5
D4
D3
D2
D1
D0
0
0
0
0
0
0
0
0
fmax/256
0
0
0
0
0
0
0
1
fmax/128
0
0
0
0
0
0
1
1
fmax/64
0
0
0
0
0
1
1
1
fmax/32
0
0
0
0
1
1
1
1
fmax/16
0
0
0
1
1
1
1
1
fmax/8
0
0
1
1
1
1
1
1
fmax/4
0
1
1
1
1
1
1
1
fmax/2
1
1
1
1
1
1
1
1
fmax
2
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] • Web Address: http://www.freqdev.com
fc
Corner
Frequency
D828 Series
8-Pole
Low-Pass Filters
8-Bit Programmable
Model
D828L8B
D828L8E
D828L8EX
D828L8EY
Transfer Function
8-Pole
Butterworth
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
Size
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
Range fc, fr
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
Theoretical Transfer
Characteristics
Appendix A
Page 9
Appendix A
Page 24
Appendix A
Page 23
Appendix A
Page 25
Passband Ripple
0.0 dB
± 0.035 dB
- 0.05 dB
- 0.05 dB
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
Stopband
Attenuation Rate
48 dB/octave
80 dB min.
80 dB min.
100 dB min.
Cutoff Frequency
Stability
Amplitude
Phase
fc
± 0.01% /°c
-3 dB
-360°
Filter Attenuation
0.12 dB
3.01 dB
60.0 dB
80.0 dB
Product Specifications
(theoretical)
DC Voltage Gain
(non-inverting)
(theoretical)
Phase Match1
± 2% max.
0.80 fc
1.00 fc
2.37 fc
3.16 fc
0 - 0.8 fc
fr
± 0.01% /°c
-0.035 dB
-323.5°
± 2% max.
0.035 dB
3.01 dB
60.0 dB
80.0 dB
1.00 fr
1.13 fr
1.67 fr
1.77 fr
fr
± 0.01% /°c
-0.05dB
-414°
± 2% max.
0.05 dB
3.01 dB
60.0 dB
80.0 dB
1.00 fr
1.05 fr
1.45 fr
1.56 fr
fr
± 0.01% /°c
-0.05 dB
-419°
± 2% max.
0.05 dB
3.01 dB
80.0 dB
100.0 dB
1.00 fr
1.06 fr
1.83 fr
2.00 fr
± 2° max.
± 1° typ.
0.8 fc - 1.0 fc ± 3° max.
± 1.5° typ.
0 - 0.8 fr
± 2° max.
± 1° typ.
0.8 fr - 1.0 fr ± 4° max.
± 2° typ.
0 - 0.8 fr
± 3° max.
± 1.5° typ.
0.8 fr - 1.0 fr ± 4° max.
± 2° typ.
0 - 0.8 fr
± 0.2 dB max.
± 0.1 dB typ.
0.8 fc - 1.0 fc ± 0.3 dB max.
± 0.15 dB typ.
0 - 0.8 fr
± .2 dB max.
± .1 dB typ.
0.8 fr - 1.0 fr ± .3 dB max.
± .15 dB typ.
0 - 0.8 fr
± 0.2 dB max.
± 0.1 dB typ.
0.8 fr - 1.0 fr ± 0.5 dB max.
± 0.25 dB typ.
0 - 0.8 fr
Total Harmonic
Distortion @ 1 kHz
< - 100 dB typ.
< - 88 dB typ.
< - 88 dB typ.
< - 88 dB typ.
Wide Band Noise
200 µVrms typ.
200 µVrms typ.
250 µVrms typ.
250 µVrms typ.
50 µVrms typ.
50 µVrms typ.
75 µVrms typ.
75 µVrms typ.
Amplitude Accuracy
(theoretical)
0 - 0.8 fc
0.8 fr - 1.0 fr
0.8 fr - 1.0 fr
(5 Hz - 2 MHz)
Narrow Band Noise
(5 Hz - 100 kHz)
1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot.
3
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] • Web Address: http://www.freqdev.com
± 3° max.
± 1.5° typ.
± 4° max.
± 2° typ.
± 0.2 dB max.
± 0.1 dB typ.
± 0.5 dB max.
± 0.25 dB typ.
D828 Series
8-Pole
Low-Pass Filters
8-Bit Programmable
Model
D828L8L
D828L8D60
D828L8D80
D828L8D10
Transfer Function
8-Pole
Bessel
8-Pole, 6 zero
Constant Delay
8-Pole, 6 zero
Constant Delay
8-Pole, 6 zero
Constant Delay
Size
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
Range fc
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
Theoretical Transfer
Characteristics
Appendix A
Page 4
Appendix A
Page 20
Appendix A
Page 21
Appendix A
Page 22
Passband Ripple
0.0 dB
0.15 dB
0.15 dB
0.15 dB
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
0 ± 0.1 dB max.
0 ± 0.05 dB typ.
Stopband
Attenuation Rate
48 dB/octave
60 dB min.
80 dB min.
100 dB min.
Cutoff Frequency
Stability
Amplitude
Phase
fc
± 0.01% /°c
-3 dB
-182°
Filter Attenuation
1.91 dB
3.01 dB
60.0 dB
80.0 dB
Product Specifications
(theoretical)
DC Voltage Gain
(non-inverting)
(theoretical)
± 2% max.
0.80 fc
1.00 fc
4.52 fc
6.07 fc
fc
± 0.01% /°c
-3 dB
-306°
3.01 dB
40.0 dB
60.0 dB
Phase Match1
0 - fc
± 2° max.
± 1° typ.
0 - fc
Amplitude Accuracy
0 - fc
± 0.2 dB max.
± 0.1 dB typ.
0 - 0.8 fc
(theoretical)
± 2% max.
1.00 fc
2.28 fc
2.64 fc
± 2° max.
± 1° typ.
fc
± 0.01% /°c
-3 dB
-306°
± 2% max.
3.01 dB
60.0 dB
80.0 dB
0 - fc
1.00 fc
3.08 fc
3.57 fc
± 2° max.
± 1° typ.
fc
± 0.01% /°c
-3 dB
-311°
± 2% max.
3.01 dB
80.0 dB
100.0 dB
1.00 fc
4.45 fc
5.20 fc
0 - fc
± 2° max.
± 1° typ.
± 0.2 dB max.
± 0.1 dB typ.
± 0.3 dB max.
± 0.15 dB typ.
± 0.2 dB max.
± 0.1 dB typ.
0.8 fc - 1.0 fc ± 0.3 dB max.
± 0.15 dB typ.
0 - 0.8 fc
± 0.2 dB max.
± 0.1 dB typ.
0.8 fc - 1.0 fc ± 0.3 dB max.
± 0.15 dB typ.
0 - 0.8 fc
0.8 fc - 1.0 fc
Total Harmonic
Distortion @ 1 kHz
< - 100 dB typ.
< - 100 dB typ.
< - 100 dB typ.
< - 100 dB typ.
Wide Band Noise
200 µVrms typ.
200 µVrms typ.
200 µVrms typ.
200 µVrms typ.
50 µVrms typ.
50 µVrms typ.
50 µVrms typ.
50 µVrms typ.
(5 Hz - 2 MHz)
Narrow Band Noise
(5 Hz - 100 kHz)
1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot.
4
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] • Web Address: http://www.freqdev.com
D828 Series
8-Pole
High-Pass Filters
8-Bit Programmable
Model
D828H8B
D828H8E
D828H8EX
D828H8EY
Transfer Function
8-Pole
Butterworth
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
Size
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
2.0” x 2.0” x 0.5”
Range fc, fr
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
1.0 Hz to 102.4 kHz
Theoretical Transfer
Characteristics
Appendix A
Page 29
Appendix A
Page 37
Appendix A
Page 36
Appendix A
Page 38
Passband Ripple
0.0 dB
± 0.035 dB
- 0.05 dB
- 0.05 dB
0 ± 0.2 dB to 100 kHz
0 ± 0.5 dB to 120 kHz
0 ± 0.2 dB to 100 kHz
0 ± 0.5 dB to 120 kHz
0 ± 0.2 dB to 100 kHz
0 ± 0.5 dB to 120 kHz
0 ± 0.2 dB to 100 kHz
0 ± 0.5 dB to 120 kHz
Power Bandwidth
120 kHz
120 kHz
120 kHz
120 kHz
Small Signal
Bandwidth
(-6 dB) 1 MHz
(-6 dB) 1 MHz
(-6 dB) 1 MHz
(-6 dB) 1 MHz
Stopband
Attenuation Rate
48 dB/octave
80 dB
80 dB
100 dB
Cutoff Frequency
Stability
Amplitude
Phase
fc
± 0.01% /°c
-3 dB
-360°
Filter Attenuation
80 dB
60.0 dB
3.01 dB
0.00 dB
Product Specifications
(theoretical)
Voltage Gain
(non-inverting)
(theoretical)
± 2% max.
0.31 fc
0.42 fc
1.00 fc
2.00 fc
Phase Match1
fc - 100 kHz ± 3° max.
± 1.5° typ.
Amplitude Accuracy
fc-1.25 fc
(theoretical)
fr
± 0.01% /°c
-0.035 dB
-323.5°
± 2% max.
80 dB
60.0 dB
3.01 dB
0.03 dB
0.00 dB
0.56 fr
0.60 fr
0.88 fr
1.00 fr
2.00 fr
fr - 1.25 fr
± 4° max.
± 2° typ.
1.25 fr-100 kHz ± 2° max.
± 1° typ.
± 0.3 dB max. fr-1.25 fr
± 0.15 dB typ.
1.25 fc-100kHz± 0.2 dB max. 1.25 fr-100 kHz
± 0.1 dB typ.
fr
± 0.01% /°c
-0.05dB
-414°
± 2% max.
80 dB
60.0 dB
3.01 dB
0.03 dB
0.00 dB
0.64 fr
0.69 fr
0.95 fr
1.00 fr
2.00 fr
fr - 1.25 fr
± 4° max.
± 2° typ.
1.25fr -100 kHz ± 2° max.
± 1° typ.
fr
± 0.01% /°c
-0.05 dB
-419°
± 2% max.
100 dB
80.0 dB
3.01 dB
0.03 dB
0.00 dB
0.50 fr
0.55 fr
0.94 fr
1.00 fr
2.00 fr
fr - 1.25 fr
± 4° max.
± 2° typ.
1.25 fr-100 kHz ± 3° max.
± 1.5° typ.
± 0.3 dB max. fr -1.25 fr
± 0.15 dB typ.
± 0.2 dB max. 1.25 fr-100 kHz
± 0.1 dB typ.
± 0.5 dB max. fr -1.25 fr
± 0.25 dB typ.
± 0.2 dB max. 1.25 fr-100 kHz
± 0.1 dB typ.
± 0.5 dB max.
± 0.25 dB typ.
± 0.2 dB max.
± 0.1 dB typ.
Total Harmonic
Distortion @ 1 kHz
< - 100 dB typ.
< - 88 dB typ.
< - 88 dB typ.
< - 88 dB typ.
Wide Band Noise
400 µVrms typ.
400 µVrms typ.
500 µVrms typ.
500 µVrms typ.
100 µVrms typ.
100 µVrms typ.
150 µVrms typ.
150 µVrms typ.
(5 Hz - 2 MHz)
Narrow Band Noise
(5 Hz - 100 kHz)
1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot.
5
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] • Web Address: http://www.freqdev.com
D828 Series
Pin-Out and Package Data
Ordering Information
Specification
(25°C and Vs ± 15 Vdc)
Analog Input Characteristics1
Impedance
Voltage Range
Max. Safe Voltage
Analog Output Characteristics
Impedance (Closed Loop)
Linear Operating Range
2
Maximum Current
3
Offset Voltage
Offset Temp. Coeff.
Power Supply (±Vs)
Rated Voltage
Operating Range
Maximum Safe Voltage
Quiescent Current
8 Pole
Pin-Out & Package Data
10 k Ω min.
± 10 Vpeak
±Vs
2.00
G-5
0.5
11 Ω typ.
10 Ω max.
±10V
±2 mA
22 mV typ.
20 mV max.
50 µV/°C
0.15 min.
0.025 Dia.
Side View
All dimensions are in inches
All Case Dimensions ± 0.02"
Grid Dimensions 0.1" x 0.1"
OUT
OUT +Vs
+Vs -Vs
-Vs
D7D
±15 Vdc
±12 to ±18 Vdc
±18 Vdc
D6
7
D6
D5
D5
D4
D4
GND
2.00
GND
2.00
±25 mA typ.
±40 mA max.
D3
D3
D2
D
D1 2
Temperature
Operating
Storage
D
D0 1
-20 to +70°C
-25 to +85°C
D0
IN Os
4
+IN -IN Os
Notes:
4
Bottom View
1. Input and output signal voltage referenced to supply common.
Bottom View
2. Output is short circuit protected to common.
Filter Mounting Assembly-See FMA-02A
DO NOT CONNECT TO ±Vs.
3. Adjustable to zero.
Ordering Information
4. Units operate with or without offset pin connected.
DC Offset Adjustment
± Vs
Filter Type
L - Low Pass
H - High Pass
Do not connect
if trim is not
required.
20 k Ω
(Cermet)
D828L8E-3
OS
Transfer Function
B - Butterworth
L - Bessel
D60 - constant delay (-60 dB)
D80 - constant delay (-80 dB)
D10 - constant delay (-100 dB)
E - elliptic 1.77 (-80 dB)
EX- elliptic 1.56 (-80dB)
EY - elliptic 2.00 (-100 dB)
Model Number
e.g.,Model
Tuning Minimum
Number
Range (Hz)
Step(Hz)
2
1.0 to 256
1.0
3
10 to 2560
10
4
100 to 25.6k
100
5
200 to 51.2k
200
6
400 to 102.4k
400
- Vs
Case
G-5
G-5
G-5
G-5
G-5
We hope the information given here will be helpful. The information is based on data and our best knowledge, and we consider the information to be true and accurate. Please read all statements,
recommendations or suggestions herein in conjunction with our conditions of sale which apply to all goods supplied by us. We assume no responsibility for the use of these statements,
recommendations or suggestions, nor do we intend them as a recommendation for any use which would infringe any patent or copyright.
IN-00D828-00
6
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] • Web Address: http://www.freqdev.com
8-Pole
Bessel
Appendix A
Low-Pass
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
0.00
.506
0.10
-0.029
-18.2
.506
0.20
-0.117
-36.4
.506
0.30
-0.264
-54.7
.506
0.40
-0.470
-72.9
.506
0.50
-0.737
-91.1
.506
0.60
-1.06
-109
.506
0.70
-1.45
-128
.506
0.80
-1.91
-146
.506
0.85
-2.16
-155
.506
0.90
-2.42
-164
.506
0.95
-2.71
-173
.506
1.00
-3.01
-182
.506
-3.67
1.10
-200
.506
-4.40
1.20
-219
.506
-5.20
1.30
-237
.506
1.40
-6.10
-255
.505
1.50
-7.08
-273
.504
1.60
-8.16
-291
.502
1.70
-9.36
-309
.498
1.80
-10.7
-327
.492
1.90
-12.1
-345
.482
2.00
-13.7
-362
.468
2.25
-18.1
-402
.417
2.50
-23.1
-436
.352
2.75
-28.3
-465
.291
3.00
-33.4
-489
.241
3.25
-38.3
-509
.201
3.50
-43.1
-526
.170
4.00
-51.8
-552
.126
5.00
-66.8
-587
.077
6.00
-79.2
-610
.052
7.00
-89.8
-626
.038
8.00
-99.0
-638
.029
9.00
-107
-647
.023
10.0
-114
-655
.018
Frequency Response
Amp (dB)
0
-60
-100
0.1
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
Delay (Normalized)
Delay (sec)
1.0
0.5
0.0
0.1
0.15 2
3
4
5 6 7 89
1.0
1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
Normalized Delay
Actual Corner Frequency (fc) in Hz
-40
-80
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Actual Delay =
-20
7
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
-0.2
0
1
2
3
4
Normalized Time (1/f sec)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
Low-Pass
8-Pole
Appendix A
Butterworth
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
0.00
.816
0.10
0.00
-29.4
.819
0.20
0.00
-59.0
.828
0.30
0.00
-89.1
.843
0.40
0.00
-120
.867
0.50
0.00
-152
.903
0.60
-0.001
-185
.956
0.70
-0.014
-221
1.04
0.80
-0.121
-261
1.19
0.85
-0.311
-283
1.29
0.90
-0.738
-307
1.40
0.95
-1.58
-333
1.48
1.00
-3.01
-360
1.46
1.10
-7.48
-408
1.17
1.20
-12.9
-445
.873
1.30
-18.2
-472
.672
1.40
-494
.540
-23.4
1.50
-511
.448
-28.2
1.60
-526
.380
-32.7
1.70
-539
.328
-36.9
1.80
-550
.287
-40.8
1.90
-44.6
-560
.253
2.00
-48.2
-568
.226
2.25
-56.3
-586
.174
2.50
-63.7
-600
.139
2.75
-70.3
-611
.113
3.00
-76.3
-621
.094
3.25
-81.9
-629
.080
3.50
-87.1
-635
.069
4.00
-96.3
-646
.052
5.00
-112
-661
.033
6.00
-125
-671
.023
7.00
-135
-678
.017
8.00
-144
-683
.013
9.00
-153
-687
.010
10.0
-160
-691
.008
Frequency Response
Amp (dB)
0
-40
-60
-80
-100
0.1
2
3 4 5 6 78 1.0
2
3 4 5 67
Normalized Frequency(f/fc)
Delay (sec)
2.0
1.0
0.0
0.1
0.15 2
3
4
5 6 7 8 9 1.0 1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
0
1
2
3
4
Normalized Time (1/f sec)
Normalized Delay
Actual Corner Frequency (fc) in Hz
10.0
Delay (Normalized)
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Actual Delay =
-20
8
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
8-Pole, 6-Zero
Constant Delay
Appendix A
Low-Pass (60 dB)
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
0.00
.776
0.005
-28.0
0.10
.776
0.012
-55.9
0.20
.776
0.005
-83.9
0.30
.776
-0.042
-112
0.40
.776
-0.161
-140
.776
0.50
-0.384
-168
.776
0.60
-0.745
-196
.776
0.70
-1.28
-224
.776
0.80
-1.62
-238
.776
0.85
-252
-2.02
.776
0.90
-265
-2.48
.775
0.95
-279
-3.01
.773
1.00
-307
-4.29
.766
1.10
-334
-5.91
.749
1.20
-10.3
-386
.675
1.40
-15.9
-431
.558
1.60
-22.4
-467
.443
1.80
-29.4
-495
.351
2.00
-39.0
-523
.268
2.25
2.50
-50.5
-544
.212
2.75
-78.0
-561
.171
3.00
-63.7
-395
.142
3.25
-63.5
-407
.119
3.50
-66.9
-417
.102
3.75
-425
.088
-74.7
4.00
-253
.077
-85.0
4.25
-259
.068
-72.0
4.50
-265
.060
-67.9
4.75
-270
.054
-65.8
5.00
-64.6
-275
.048
5.25
-63.9
-279
.044
5.50
-63.5
-283
.040
5.75
-63.3
-286
.036
6.00
-63.2
-289
.033
6.50
-63.3
-295
.028
7.00
-63.7
-299
.024
8.00
-64.7
-307
.019
9.00
-66.0
-313
.015
10.0
-67.3
-318
.012
Frequency Response
Amp (dB)
0
-60
-100
0.1
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
Delay (Normalized)
Delay (sec)
1.0
0.5
0.0
0.1
0.15 2
3
4
5 6 7 89
1.0 1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
Normalized Delay
Actual Corner Frequency (fc) in Hz
-40
-80
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Actual Delay =
-20
9
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
-0.2
0
1
2
3
4
Normalized Time (1/f sec)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
8-Pole, 6-Zero
Constant Delay
Appendix A
Low-Pass (80 dB)
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
.852
0.00
0.017
-30.7
.852
0.10
0.058
-61.3
.852
0.20
0.099
-92.0
.852
0.30
0.105
-123
.852
0.40
0.034
-153
.852
0.50
-0.157
-184
.852
0.60
-0.510
-215
.852
0.70
-1.07
-245
.851
0.80
-1.44
-261
.850
0.85
-1.89
-276
.849
0.90
-2.41
-291
.846
0.95
-3.01
-306
.841
1.00
-4.50
-336
.821
1.10
-6.39
-365
.783
1.20
-11.3
-417
.656
1.40
-17.1
-459
.512
1.60
-23.2
-492
.396
1.80
-29.1
-517
.312
2.00
-36.3
-542
.239
2.25
2.50
-43.4
-561
.189
2.75
-50.3
-576
.153
3.00
-57.6
-589
.127
3.25
-62.5
-599
.107
3.50
-75.4
-608
.092
3.75
-98.3
-616
.079
4.00
-86.3
-442
.069
4.25
-84.1
-448
.061
4.50
-85.1
-454
.054
4.75
-87.9
-458
.049
5.00
-92.8
-462
.044
5.25
-104
-466
.040
5.50
-101
-289
.036
5.75
-93.3
-293
.033
6.00
-89.9
-295
.030
-86.6
-300
.026
6.50
-85.1
-305
.022
7.00
-84.1
-312
.017
8.00
-84.3
-317
.013
9.00
-84.9
-321
.011
10.0
Frequency Response
Amp (dB)
0
-60
-100
0.1
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
Delay (Normalized)
Delay (sec)
1.0
0.5
0.0
0.1
0.15 2
3
4
5 6 7 89
1.0 1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
Normalized Delay
Actual Corner Frequency (fc) in Hz
-40
-80
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Actual Delay =
-20
10
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
-0.2
0
1
2
3
4
Normalized Time (1/f sec)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
8-Pole, 6-Zero
Constant Delay
Appendix A
Low-Pass (100 dB)
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
0.00
.865
0.10
0.015
-31.1
.865
.865
0.20
0.051
-62.3
.865
0.30
0.085
-93.4
.865
0.40
0.085
-125
0.50
0.010
-156
.865
0.60
-0.182
-187
.865
0.70
-0.532
-218
.865
0.80
-1.09
-249
.864
0.85
-1.45
-265
.863
0.90
-1.89
-280
.861
0.95
-2.41
-296
.857
1.00
-3.01
-311
.851
1.10
-4.50
-341
.828
1.20
-6.38
-370
.785
1.40
-11.2
-422
.650
1.60
-16.8
-464
.504
1.80
-22.5
-496
.389
2.00
-28.0
-520
.306
2.25
-34.5
-544
.235
2.50
-40.5
-563
.186
2.75
-46.1
-578
.151
3.00
-51.4
-591
.125
3.50
-61.5
-610
.090
4.00
-71.2
-624
.068
4.50
-81.3
-635
.054
5.00
-93.4
-643
.043
5.50
-142
-651
.036
6.00
-105
-476
.030
6.20
-105
-478
.028
6.50
-106
-481
.025
7.00
-110
-486
.022
8.00
-122
-312
.017
9.00
-109
-318
.013
10.0
-106
-322
.011
12.0
-105
-328
.007
14.0
-106
-333
.005
16.0
-107
-336
.004
18.0
-108
-339
.003
20.0
-109
-341
.003
Frequency Response
0
Amp (dB)
-20
-80
-120
0.1
2
3 4 5 678
2
3 4 5 67
1.0
10.0
Normalized Frequency(f/fc)
Delay (Normalized)
Delay (sec)
1.0
0.5
0.0
0.1
0.15 2
3
4
5 6 7 89
1.0 1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
Normalized Delay
Actual Corner Frequency (fc) in Hz
-60
-100
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Actual Delay =
-40
11
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
-0.2
0
1
2
3
4
Normalized Time (1/f sec)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
8-Pole, 6-Zero
Elliptic, 1.56
Appendix A
Low-Pass
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
0.00
0.823
0.10
-0.001
-29.7
0.829
0.20
-0.013
-59.8
0.844
0.30
-0.040
-90.5
0.865
0.40
-0.049
-122
0.904
-0.018
-156
0.972
0.50
-0.003
-174
1.016
0.55
-0.002
-192
1.064
0.60
-0.019
-212
1.116
0.65
-0.042
-233
1.178
0.70
-255
0.75
-0.049
1.264
-279
0.80
-0.026
1.388
-305
0.85
-0.001
1.557
-335
0.90
-0.024
1.767
-369
0.95
-0.045
2.111
1.00
-0.050
-414
3.062
1.10
-10.48
-531
2.043
1.20
-25.96
-576
0.814
1.30
-39.45
-598
0.493
1.40
-52.87
-614
0.348
-69.11
-624
0.265
1.50
-89.09
-453
0.211
1.60
-85.32
-459
0.174
1.70
-89.95
-463
0.156
1.75
-103.5
-465
0.147
1.80
1.85
-95.94
-288
0.158
1.90
-89.31
-290
0.126
1.95
-86.44
-292
0.117
2.00
-84.96
-295
0.110
2.20
-84.54
-302
0.087
2.40
-88.65
-307
0.069
2.60
-99.78
-311
0.057
2.80
-99.97
-135
0.048
3.00
-90.20
-139
0.041
3.50
-85.09
-145
0.029
4.00
-84.04
-150
0.022
5.00
-84.76
-156
0.014
6.00
-86.45
-160
0.009
7.00
-88.31
-163
0.007
8.00
-90.11
-165
0.005
9.00
-91.82
-167
0.004
10.0
-93.41
-168
0.003
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Normalized Delay
Actual Delay =
Actual Corner Frequency (fc) in Hz
Frequency Response
Amp (dB)
0
-20
-40
-60
-80
-100
0.1
2
3 4 5 6 78
2
3 4 5 67
1.0
10.0
Normalized Frequency(f/fc)
Delay (Normalized)
Delay (sec)
4.0
2.0
0.8
0.0
0.1
0.15 2
3
4
5 6 7 89
1.0 1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
0
12
1
2
3
4
Normalized Time (1/f sec)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
8-Pole, 6-Zero
Elliptic, 1.77
Appendix A
Low-Pass
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
0.00
0.713
0.10
-0.004
-25.7
0.716
0.20
-0.014
-51.6
0.724
0.30
-0.024
-77.9
0.740
0.40
-0.020
-105
0.767
0.50
0.007
-133
0.811
0.55
0.022
-148
0.840
0.60
0.033
-163
0.872
0.65
0.031
-179
0.908
0.70
0.014
-196
0.946
0.75
-0.015
-213
0.989
0.80
-0.041
-232
1.04
0.85
-0.046
-251
1.12
0.90
-0.016
-272
1.23
0.95
-0.025
-296
1.40
1.00
-0.035
-323
1.65
1.10
-1.76
-392
2.14
1.20
-8.28
-467
1.86
1.30
-18.4
-522
1.19
1.40
-29.3
-558
0.753
1.50
-40.1
-578
0.517
1.60
-51.5
-594
0.381
1.70
-65.2
-606
0.296
1.75
-75.0
-611
0.265
1.80
-113.0
-616
0.239
1.85
-83.6
-440
0.217
1.90
-82.0
-444
0.198
1.95
-83.7
-447
0.182
2.00
-87.8
-450
0.168
2.20
-85.8
-280
0.126
2.40
-82.0
-289
0.099
2.60
-83.5
-295
0.081
2.80
-88.2
-301
0.067
3.00
-99.9
-305
0.057
3.50
-87.2
-134
0.040
4.00
-83.1
-140
0.030
5.00
-82.1
-148
0.018
6.00
-83.1
-154
0.013
7.00
-84.6
-157
0.009
8.00
-86.2
-160
0.007
9.00
-87.8
-163
0.005
10.0
-89.3
-164
0.004
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Normalized Delay
Actual Delay =
Actual Corner Frequency (fc) in Hz
Frequency Response
Amp (dB)
0
-20
-40
-60
-80
-100
0.1
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
Delay (Normalized)
Delay (sec)
4.0
2.0
0.8
0.0
0.1
0.15 2
3
4
5 6 7 89
1.0 1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
0
13
1
2
3
4
Normalized Time (1/f sec)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
8-Pole, 6-Zero
Elliptic, 2.00
Appendix A
Low-Pass
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.00
0.00
0.00
0.885
0.10
-0.001
-31.9
0.891
0.20
-0.015
-64.2
0.903
0.30
-0.040
-97.0
0.922
0.40
-0.042
-131
0.958
0.50
-0.001
-166
1.020
0.55
0.000
-185
1.057
0.60
-0.007
-204
1.099
0.65
-0.027
-225
1.140
0.70
-0.045
-245
1.193
0.75
-0.040
-268
1.269
0.80
-0.014
-291
1.377
0.85
-0.001
-317
1.513
0.90
-0.031
-346
1.677
0.95
-0.036
-378
1.960
1.00
-0.046
-419
2.681
1.10
-7.910
-525
2.127
1.20
-21.06
-573
0.856
1.30
-31.96
-597
0.509
1.40
-41.51
-612
0.357
1.50
-50.35
-623
0.271
1.60
-58.90
-632
0.216
1.70
-67.54
-639
0.177
1.75
-72.04
-642
0.162
1.80
-76.79
-645
0.149
1.85
-81.93
-647
0.138
1.90
-87.78
-650
0.128
1.95
-95.04
-652
0.119
2.00
-106.6
-654
0.111
2.20
-106.0
-481
0.087
2.40
-121.3
-307
0.070
2.60
-106.5
-311
0.058
2.80
-105.0
-315
0.049
3.00
-106.4
-318
0.042
3.50
-123.6
-325
0.030
4.00
-111.5
-149
0.022
5.00
-105.4
-156
0.014
6.00
-105.1
-160
0.010
7.00
-106.0
-163
0.007
8.00
-107.3
-165
0.005
9.00
-108.6
-167
0.004
10.0
-110.0
-168
0.003
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Normalized Delay
Actual Delay =
Actual Corner Frequency (fc) in Hz
Frequency Response
0
Amp (dB)
-20
-40
-60
-80
-100
-120
0.1
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
Delay (Normalized)
Delay (sec)
4.0
2.0
0.8
0.0
0.1
0.15 2
3
4
5 6 7 89
1.0 1.5
Normalized Time (1/f sec)
Step Response (V/V)
Step Response
1.2
1.0
0.8
0.6
0.4
0.2
-0.0
0
14
1
2
3
4
Normalized Time (1/f sec)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
5
High-Pass
8-Pole
Appendix A
Butterworth
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.10
-160
691
0.819
0.20
-112
661
0.828
0.30
-83.7
631
0.843
0.40
-63.7
600
0.867
0.50
-48.2
568
0.903
0.60
-35.5
535
.956
499
0.70
-24.8
1.04
459
0.80
-15.6
1.19
437
0.85
-11.6
1.29
413
0.90
-8.06
1.40
0.95
-5.15
386
1.48
360
1.00
-3.01
1.46
275
1.20
-0.229
0.873
226
1.40
-0.020
0.540
-0.002
194
1.60
0.380
170
1.80
0.00
0.287
152
0.00
2.00
0.226
0.139
120
0.00
2.50
0.00
99.2
0.094
3.00
0.052
0.00
74.0
4.00
5.00
0.00
59.0
0.033
49.0
0.023
6.00
0.00
0.00
42.1
0.017
7.00
0.00
36.8
0.013
8.00
0.00
32.7
0.010
9.00
10.0
0.00
29.4
0.008
Frequency Response
Amp (dB)
0
-20
-40
-60
-80
-100
0.1
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Actual Delay =
Normalized Delay
Actual Corner Frequency (fc) in Hz
15
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected]ev.com Web Address: http://www.freqdev.com
8-Pole, 6-Zero
Elliptic, 1.56
Appendix A
High-Pass
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.10
-93.4
168
0.334
-84.8
0.20
156
0.344
143
-86.0
0.30
0.363
0.392
310
-92.6
0.40
0.439
295
-85.0
0.50
-114
287
0.472
0.55
-84.1
458
0.515
0.60
-57.0
617
0.652
0.70
-32.8
589
0.962
0.80
-22.6
569
1.325
0.85
0.90
-12.3
538
2.198
3.993
0.95
-3.08
483
3.062
1.00
-0.05
414
1.498
1.10
-0.03
341
-0.01
1.039
1.20
296
264
1.30
-0.04
0.773
239
1.40
-0.05
0.612
1.50
219
-0.03
0.505
1.60
202
-0.01
0.426
188
1.70
0.00
0.364
1.80
0.00
176
0.315
-0.01
165
1.90
0.275
2.00
156
-0.02
0.243
2.50
122
-0.05
0.145
0.097
3.00
101
-0.05
4.00
-0.03
75.1
0.053
-0.01
0.034
5.00
59.8
-0.01
0.023
6.00
49.7
7.00
0.017
0.00
42.5
8.00
0.013
0.00
37.2
9.00
0.00
33.0
0.010
10.0
0.00
29.7
0.008
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Normalized Delay
Actual Delay =
Actual Corner Frequency (fc) in Hz
Frequency Response
Amp (dB)
0
-20
-40
-60
-80
-100
0.1
16
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
8-Pole, 6-Zero
Elliptic, 1.77
Appendix A
High-Pass
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.10
-89.3
164
0.440
0.20
-82.1
148
0.459
0.30
-90.6
131
0.495
292
0.40
-82.4
0.559
-87.8
450
0.50
0.671
0.55
-90.0
0.761
437
-60.2
0.60
0.890
603
-32.4
0.70
1.37
563
-13.1
0.80
2.35
498
-6.28
0.85
2.77
451
0.90
-2.21
401
2.66
358
0.95
-0.51
2.15
324
1.00
-0.03
1.64
277
1.10
-0.01
1.04
225
1.20
-0.05
0.757
1.30
-0.03
221
0.596
1.40
0.01
201
0.486
1.50
0.03
185
0.409
1.60
0.03
172
0.347
1.70
0.03
160
0.299
1.80
0.02
150
0.260
1.90
0.01
141
0.229
2.00
0.01
133
0.203
2.50
-0.02
105
0.123
3.00
-0.02
86.9
0.083
4.00
-0.02
64.7
0.046
5.00
-0.01
51.6
0.029
6.00
-0.01
42.9
0.020
-0.01
0.015
7.00
36.8
-0.01
0.011
8.00
32.1
9.00
-0.01
28.6
0.009
10.0
0.00
25.7
0.007
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Normalized Delay
Actual Delay =
Actual Corner Frequency (fc) in Hz
Frequency Response
Amp (dB)
0
-20
-40
-60
-80
-100
0.1
17
2
3 4 5 6 78 1.0
2
3 4 5 67
Normalized Frequency(f/fc)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com
10.0
8-Pole, 6-Zero
Elliptic, 2.00
Appendix A
High-Pass
Theoretical Transfer Characteristics
1
f/fc
Amp
Phase
Delay
(Hz)
(dB)
(deg)
(sec)
0.10
-110
168
0.338
-105
0.20
156
0.348
-114
0.30
323
0.367
309
-110
0.40
0.397
654
-107
0.50
0.445
0.55
-78.6
646
0.480
0.524
0.60
-64.6
637
0.669
0.70
-44.1
615
1.001
0.80
-26.7
586
1.401
0.85
-18.2
565
0.90
-9.46
533
2.315
0.95
-2.16
478
3.604
1.00
-0.046
419
2.681
1.416
1.10
-0.038
352
1.018
1.20
-0.001
308
1.30
-0.032
277
0.773
1.40
-0.046
252
0.618
1.50
-0.034
231
0.514
1.60
-0.016
214
0.436
1.70
-0.004
200
0.376
1.80
0.000
187
0.328
1.90
-0.003
176
0.288
2.00
166
-0.010
0.255
131
2.50
-0.042
0.153
108
3.00
-0.045
0.103
4.00
-0.028
80.6
0.057
64.2
5.00
-0.015
0.036
53.4
6.00
-0.008
0.025
45.7
7.00
-0.005
0.018
40.0
8.00
-0.003
0.014
9.00
-0.002
35.5
0.011
31.9
10.0
-0.001
0.009
1.Normalized Group Delay:
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
by the actual corner frequency (fc).
Normalized Delay
Actual Delay =
Actual Corner Frequency (fc) in Hz
Frequency Response
0
Amp (dB)
-20
-40
-60
-80
-100
-120
0.1
18
2
3 4 5 6 78
1.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
e-mail: [email protected] Web Address: http://www.freqdev.com