FREQUENCYDEVICES 428L4EX-5

428 Series
10 Hz - 102.4 kHz
4-Bit Programmable
32-Pin DIP
8-Pole Filters
Description
The 428 Series are 8-pole digitally programmable
low-pass and high-pass active filters. These new
filters take advantage of the company’s proprietary
designs using surface-mount technology to provide
a low profile, compact package in minimal board
space. 428 filters are factory tuned to one of ten
preset 4-bit binary ranges from 10 Hz to 102.4 kHz.
Contact the factory for custom discrete tuning
ranges, maximum span 1000:1.
All 428 Series models are easy to use fully finished
filters which require no external components or
adjustment. They feature low harmonic distortion,
near theoretical phase and amplitude characteristics
and operate over a dynamic input voltage range
from non-critical ±12V to ±18V power supplies.
Features/Benefits:
• Low harmonic distortion and wide signal-to-noise
ratio to 16-bit resolution.
• Compact 1.8"L x 0.8"W x 0.3"H min. (32-pin DIP
footprint) minimizes board space requirements.
• 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 tuned, 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
• Acoustic and vibration analysis and control
• Real and compressed time data analysis
• Noise elimination
• Signal reconstruction
Programmable Specifications: . . . . . . . . . . . . . Page
Digital Tuning & Control . . . . . . . . . . . . . . . . . . . . . . . 2
Available Low-Pass Models: . . . . . . . . . . . . . . . . . . .
428L4B 8-pole Butterworth . . . . . . . . . . . . . . . . . . 3
428L4E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . . . . 3
428L4EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . . . . 3
428L4EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . . . . 3
428L4L 8-pole Bessel . . . . . . . . . . . . . . . . . . . . . . 4
428L4D60 8-pole constant delay (-60dB). . . . . . . . . . 4
428L4D80 8-pole constant delay (-80dB). . . . . . . . . . 4
428L4D10 8-pole constant delay (-100dB) . . . . . . . . . 4
Available High-Pass Models: . . . . . . . . . . . . . . . . . .
428H4B 8-pole Butterworth . . . . . . . . . . . . . . . . . . 5
428H4E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . . . . 5
428H4EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . . . . 5
428H4EY 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
428 Series
Digital Tuning &
Control Characteristics
4-Bit Programmable Filters
Digital Tuning Characteristics
Pin-Out Key
The digital tuning interface circuits are a parallel set of CMOS
switches which accept CMOS compatible inputs for the four
tuning bits (D0 - D3).
IN
F
FB
F1
F2
F3
F4
D0
0
1
1
1
1
D1
0
0
1
1
1
D2
0
0
0
1
1
Supply Voltage, Positive
Tuning Bit 0 (LSB)
-Vs
Supply Voltage, Negative +5V Logic Power
Os
Offset Adjustment
0.80"
0.70"
OUT
D0
GND Os
-Vs +Vs
IN
0.00"
0.10"
0.00"
D0
D1
+5V
D2
D3
1.80"
Bottom View
Binary Tuning Equation:
fc = (fmax /16) [1+ D3 x 23 + D2 x 22 + D1 x 21 + D0 x 20]
where D1 - D3 = “0” or “1”, and
fmax = Maximum tuning frequency
fc = Corner frequency;
Minimum tunable frequency = fmax /16 (D0 thru D3 = 0);
Minimum frequency step (Resolution) = f max /16
Discrete Frequencies
+Vs
1.50"
1.60"
20
D0
0
1
1
1
1
Bit
Weight
fc - corner
frequency
fmax/16
fmax/8
fmax/4
fmax/2
fmax
1.30"
21
D1
0
0
1
1
1
Tuning Bit 1
1.00"
1.10"
22
D2
0
0
0
1
1
GND Power and Signal Return D1
0.90"
23
D3
0
0
0
0
1
Tuning Bit 2
0.80"
LSB
D2
0.50"
---
Tuning Bit 3 (MSB)
0.30"
---
D3
OUT Analog Output Signal
Binary Tuning Range
MSB
Analog Input Signal
Data Input Specifications
D3
0
0
0
0
1
Input Data Levels
Discrete Tuning Equation:
fc = FB + D0[f0] + D1[f1] + D2[f2] + D3[f3]
f0, f1, f2, f3 are the incremental frequency shifts for the data
bits D0, D1, D2 and D3. They are selected to realize the five
customer specified programming frequencies FB -> F4 . Other
programming codes produce valid fc’s between FB and F4 .
(+5Vdc CMOS Logic)
Input Voltage (Vs=15 Vdc)
Low Level In
High Level In
0 Vdc min.
3.5 Vdc min.
0.5 Vdc max.
5.0 Vdc max.
Input Current
High Level In
Low Level In
-0.4mAtyp.
+0.4mAtyp.
-2.0mAmax.
+2.0mAmax.
Input Capacitance
20 pF typ.
30 pF max.
Input Data Format
Positive Logic
Frequency Select Bits
Logic “1” = (+5Vdc)
Logic “0” = Gnd
Bit Weight
D0
D3
(Binary-Coded)
LSB (least significant bit)
MSB (most significant bit)
Frequency Range16:1 Binary W eighted
2
1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176
W eb Address: http://www .freqdev.com
e-mail: [email protected] •
428 Series
8-Pole
Low-Pass Filters
4-Bit Programmable
Model
428L4B
428L4E
428L4EX
428L4EY
Transfer Function
8-Pole
Butterworth
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
Size
0.8” x 1.8” x 0.5”
0.8" x 1.8" x 0.5"
0.8" x 1.8" x 0.5"
0.8" x 1.8" x 0.5"
Range fc, fr
10.0 Hz to 102.4 kHz
10.0 Hz to 102.4 kHz
10.0 Hz to 102.4 kHz
10.0 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
Amplitude Accuracy
(theoretical)
0 - 0.8 fc
± 2% max.
0.80 fc
1.00 fc
2.37 fc
3.16 fc
± 2° max.
± 1° typ.
0.8 fc - 1.0 fc ± 3° max.
± 1.5° typ.
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
0 - 0.8 fr
± 2° max.
± 1° typ.
± 4° max.
± 2° typ.
0.8 fr - 1.0 fr
0 - 0.8 fc
± 0.2 dB max. 0 - 0.8 fr
± 0.1 dB typ.
0.8 fc - 1.0 fc ± 0.3 dB max. 0.8 fr - 1.0 fr
± 0.15 dB typ.
fr
± 0.01% /°c
-0.05 dB
-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
0 - 0.8 fr
± 3° max.
± 1.5° typ.
± 4° max.
± 2° typ.
0.8 fr - 1.0 fr
± .2 dB max. 0 - 0.8 fr
± .1 dB typ.
± .3 dB max. 0.8 fr - 1.0 fr
± .15 dB typ.
fr
± 0.01% /°c
-0.05 dB
-419°
± 2% max.
0.05 dB
3.01 dB
80.0 dB
100.0 dB
0 - 0.8 fr
0.8 fr - 1.0 fr
± 0.2 dB max. 0 - 0.8 fr
± 0.1 dB typ.
± 0.5 dB max. 0.8 fr - 1.0 fr
± 0.25 dB typ.
1.00 fr
1.06 fr
1.83 fr
2.00 fr
± 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.
Total Harmonic
Distortion @ 1 kHz
< - 100 dB typ.
< - 88 dB typ.
< - 88 dB typ.
< - 88 dB typ.
Wide Band Noise
200 mVrms typ.
200 mVrms typ.
250 mVrms typ.
250 mVrms typ.
50 mVrms typ.
50 mVrms typ.
75 mVrms typ.
75 mVrms typ.
FMA-02A
FMA-02A
FMA-02A
FMA-02A
(5 Hz - 2 MHz)
Narrow Band Noise
(5 Hz - 100 kHz)
Filter Mounting
Assembly
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
428 Series
8-Pole
Low-Pass Filters
4-Bit Programmable
Model
428L4L
428L4D60
428L4D80
428L4D10
Transfer Function
8-Pole
Bessel
8-Pole, 6 zero
Constant Delay
8-Pole, 6 zero
Constant Delay
8-Pole, 6 zero
Constant Delay
Size
0.8” x 1.8” x 0.5”
0.8" x 1.8" x 0.5"
0.8" x 1.8" x 0.5"
0.8" x 1.8" x 0.5"
Range fc
10.0 Hz to 102.4 kHz
10.0 Hz to 102.4 kHz
10.0 Hz to 102.4 kHz
10.0 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°
± 2% max.
3.01 dB
40.0 dB
60.0 dB
1.00 fc
2.28 fc
2.64 fc
± 2° max.
± 1° typ.
± 2% max.
3.01 dB
60.0 dB
80.0 dB
Phase Match1
0 - fc
± 2° max.
± 1° typ.
Amplitude Accuracy
0 - fc
± 0.2 dB max. 0 - 0.8 fc
± 0.2 dB max. 0 - 0.8 fc
± 0.1 dB typ.
± 0.1 dB typ.
0.8 fc - 1.0 fc ± 0.3 dB max. 0.8 fc -1.0 fc
± 0.15 dB typ.
(theoretical)
0 - fc
fc
± 0.01% /°c
-3 dB
-306°
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
0 - fc
± 0.2 dB max. 0 - 0.8 fc
± 0.1 dB typ.
± 0.3 dB max. 0.8 fc - 1.0 fc
± 0.15 dB typ.
1.00 fc
4.45 fc
5.20 fc
± 2° max.
± 1° typ.
± 0.2 dB max.
± 0.1 dB typ.
± 0.3 dB max.
± 0.15 dB typ.
Total Harmonic
Distortion @ 1 kHz
< - 100 dB typ.
< - 100 dB typ.
< - 100 dB typ.
< - 100 dB typ.
Wide Band Noise
200 mVrms typ.
200 mVrms typ.
200 mVrms typ.
200 mVrms typ.
50 mVrms typ.
50 mVrms typ.
50 mVrms typ.
50 mVrms typ.
FMA-02A
FMA-02A
FMA-02A
FMA-02A
(5 Hz - 2 MHz)
Narrow Band Noise
(5 Hz - 100 kHz)
Filter Mounting
Assembly
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
428 Series
8-Pole
High-Pass Filters
4-Bit Programmable
Model
428H4B
428H4E
428H4EX
428H4EY
Transfer Function
8-Pole
Butterworth
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
8-Pole, 6 zero
Elliptic
Size
0.8” x 1.8” x 0.5”
0.8" x 1.8" x 0.5"
0.8" x 1.8" x 0.5"
0.8" x 1.8" x 0.5"
Range fc, fr
10.0 Hz to 102.4 kHz
10.0 Hz to 102.4 kHz
10.0 Hz to 102.4 kHz
10.0 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
-0.05 dB
-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.
1.25 fr-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
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.
Total Harmonic
Distortion @ 1 kHz
< - 100 dB typ.
< - 88 dB typ.
< - 88 dB typ.
< - 88 dB typ.
Wide Band Noise
400 mVrms typ.
400 mVrms typ.
500 mVrms typ.
500 mVrms typ.
100 mVrms typ.
100 mVrms typ.
150 mVrms typ.
150 mVrms typ.
FMA-02A
FMA-02A
FMA-02A
FMA-02A
(5 Hz - 2 MHz)
Narrow Band Noise
(5 Hz - 100 kHz)
Filter Mounting
Assembly
0.50 fr
0.55 fr
0.94 fr
1.00 fr
2.00 fr
± 0.5 dB max.
± 0.25 dB typ.
± 0.2 dB max.
± 0.1 dB typ.
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
428 Series
11 W typ.
10 W max.
±10V
±2 mA
22 mV typ.
20 mV max.
50 mV/°C
0.50"(max)
0.15" (min)
0.025" (dia)
1.80"(max)
Front
0.10"(typ)
All dimensions are in inches
All case dimensions ± 0.01"
0.80"
0.70"
OUT
GND Os
-Vs +Vs
IN
D1
+5V
D2
D3
1.80"
-20 to +70°C
-25 to +85°C
D0
1.50"
1.60"
0.10"
0.00"
1.30"
Bottom View
1.00"
1.10"
±15 Vdc
±12 to ±18 Vdc
±18 Vdc
±25 mA typ.
±40 mA max.
Temperature
Operating
Storage
Side
0.90"
Offset Temp. Coeff.
Power Supply (±V)
Rated Voltage
Operating Range
Maximum Safe Voltage
Quiescent Current
0.80"(max)
0.80"
Linear Operating Range
2
Maximum Current
3
Offset Voltage
428 Package OUTLINE
10 k W min.
± 10 Vpeak
±Vs
0.00"
Analog Input Characteristics1
Impedance
Voltage Range
Max. Safe Voltage
Analog Output Characteristics
Impedance (Closed Loop)
0.50"
(25°C and Vs ± 15 Vdc)
Pin-Out and Package Data
Ordering Information
0.30"
Specification
Filter Mounting Assembly - See FMA-02A
Ordering Information
Notes:
1. Input and output signal voltage referenced to supply common.
2. Output is short circuit protected to common.
DO NOT CONNECT TO ±Vs.
Filter Type
L - Low Pass
H - High Pass
3. Adjustable to zero.
4. Units operate with or without offset pin connected.
428L4B-7
Model Number
DC Offset Adjustment
+ Vs
Do not connect
if trim is not
required.
20 k W
(Cermet)
OS
- Vs
428 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)
Binary Tuning Ranges
Model
Tuning
*Minimum
Number Range (Hz) Step (Hz)
1
10-160
10
2
25-400
25
3
50-800
50
4
100-1.60k
100
5
250-4.00k
250
6
500-8.00k
500
7
1.00k-16.0k
1.00k
8
2.50k-40.0k
2.50k
9
5.00k-80.0k
5.00k
10
6.40k-102.4k
6.40k
*Contact factory for custom step frequency. Maximum step 6.40 kHz.
Discrete Frequency’s
Customer must specify f1 ,f2 ,f3, f4,f5. Maximum span f1 -> f5 1,000:1.
Contact factory for custom frequency’s
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-00428-02
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
4
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
-60
-100
0.1
Delay (sec)
2.0
2
3 4 5 6 78 1.0
2
3 4 5 67
Normalized Frequency(f/fc)
10.0
Delay (Normalized)
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
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
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 (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
20
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
21
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
22
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
Frequency Response
Amp (dB)
0
-60
-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
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
23
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
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)
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
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
24
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
Frequency Response
0
Amp (dB)
-20
-80
-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
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
25
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
29
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, 1.56
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
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
36
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
Frequency Response
Amp (dB)
0
-20
-40
-60
-80
-100
0.1
2
3 4 5 6 78 1.0
2
3 4 5 67
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
37
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
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)
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
38
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