R858H8D80-2

R858 FREQUENCYDEVICES | Alldatasheet

Document overview

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Technical content

1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: sales@freqdev.com  Web Address: http://www.freqdev.com 1.0 Hz to 102.4 kHz 8-Bit Programmable R858 Series 2" x 4" Range Switch 8-Pole Filters

Description

The R858 Series are digitally programmable, 8-pole low-pass and high-pass active filters that contain a low and a high programmable frequency range, with each range tunable over a 256:1 ratio. R858 filters are available with any two 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 that can be operated in a transparent or latching mode and 1 logic input for range selection. All R858 Series models are convenient, easy to use, fully finished filters which require no external components or adjustments. They feature low harmonic distortion, and precision phase and ampli- tude characteristics. R858 filters operate from non- critical ±12 to ±18 Vdc power supplies, have a 10 kW (min.) input impedance, a 10 W (max.) output im- pedance. Features/Benefits:  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 R858L8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . 3 R858L8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . 3 R858L8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . 3 R858H8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . 5 R858H8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . 5 R858H8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . 5 General Specifications:

8-Bit Programmable Filters R858 Series Digital Tuning & Control Characteristics e-mail: sales@freqdev.com  Web Address: http://www.freqdev.com Digital Tuning Characteristics The digital tuning interface circuits are two 4042 quad CMOS latches which accept the following CMOS-compatible inputs: eight tuning bits (D 0 - D7), arrange selection bit (R), a latch strobe bit (C), and a transition polarity bit (P). Filter tuning follows the tuning equation given below: fc = ( fmax/256 ) [ 1 + D7 x 2 + D6 x 2 + D5 x 2 + D4 x 2 + D3 x + 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 Data Input Specifications Data Control Lines Functions Latch Strobe (C) Transition Polarity (P) Data Control Modes Mode 1 P = 0; C = 0 frequency follows input codes P = 0; C = 0› frequency latched on rising edge Mode 2 P = 1; C = 1 frequency follows input codes P = 1; C = 1fl frequency latched on falling edge Input Data Levels (CMOS Logic) Input Voltage (Vs = 15 Vdc) Low Level In 0 Vdc min. 4 Vdc max. High Level In 11 Vdc min. 15 Vdc max. Input Current High Level In - 10 mA typ. -1 mA max.. Low Level In +10 mA typ. +1 mA max. Input Capacitance 5 pF typ 7.5 pF max. Latch Response Data Set Up Time1 25 nS Data Hold Time2 50 nS Strobe Pulse Width 80 nS min. Input Data Format Frequency Select Bits Positive Logic Logic "1" = +Vs Logic "0" = Gnd Bit Weighting (Binary-Coded) D0 LSB (least significant bit) D7 MSB (most significant bit) Frequency Range 256 : 1, Binary Weighted MSB --- --- --- --- --- --- LSB Bit Weight fc Corner Frequency D7 D6 D5 D4 D3 D2 D1 D0 00000000 f max/256 00000001 f max/128 00000011 f max/64 00000111 f max/32 00001111 f max/16 00011111 f max/8 00111111 f max/4 01111111 f max/2 11111111 fmax Pin-Out Key IN Analog Input Signal D 7 Tuning Bit 7 (MSB) OUT Analog Output Signal D 6 Tuning Bit 6 GND Power and Signal Return D 5 Tuning Bit 5 “P” Transition Polarity Bit D 4 Tuning Bit 4 “C” Tuning Strobe Bit D 3 Tuning Bit 3 +Vs Supply Voltage, Positive D 2 Tuning Bit 2 -Vs Supply Voltage, Negative D 1 Tuning Bit 1 Os Offset Adjustment D 0 Tuning Bit 0 (LSB) R Range Switch Adjustment Notes: 1. Frequency data must be present before occurrence of strobe edge. 2. Frequency data must be present after occurrence of strobe edge. 2.00 OUT -Vs+Vs R IN Os4 CPBottom View GND

e-mail: sales@freqdev.com  Web Address: http://www.freqdev.com Range Switch 8-Bit Programmable 1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same m anufacturing lot. Model R858L8B R858L8E R858L8EX R858L8EY Product Specifications Transfer Function 8-Pole 8-Pole, 6 zero 8-Pole, 6 zero 8-Pole, 6 zero Butterworth Elliptic Elliptic Elliptic Range f Theoretical Transfer Appendix A Appendix A Appendix A Appendix A Characteristics Page 9 Page 24 Page 23 Page 25 Passband Ripple 0.0 dB ± 0.035 dB - 0.05 dB - 0.05 dB (theoretical) Stopband Attenuation Rate 48 dB/octave 80 dB min. 80 dB min. 100 dB min. Cutoff Frequency f c ± 2% max. f r ± 2% max. f r ± 2% max. f r ± 2% max. Amplitude - 3 dB - 0.035 dB - 0.05 dB - 0.05 dB Total Harmonic < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. < - 88 dB typ. Distortion @ 1 kHz Wide Band Noise 200 mVrms typ. 200 mVrms typ. 250 mVrms typ. 250 mVrms typ. (5 Hz - 2 MHz) Narrow Band Noise 50 mVrms typ. 50 mVrms typ. 75 mVrms typ. 75 mVrms typ. (5 Hz - 100 kHz) Filter Mounting Assembly FMA-03A FMA-03A FMA-03A FMA-03A

e-mail: sales@freqdev.com  Web Address: http://www.freqdev.com R858 Series 8-Pole Low-Pass Filters 1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same m anufacturing lot. Model R858L8L R858L8D60 R858L8D80 R858L8D10 Product Specifications Transfer Function 8-Pole 8-Pole, 6 zero 8-Pole, 6 zero 8-Pole, 6 zero Bessel Constant Delay Constant Delay Constant Delay Range f Theoretical Transfer Appendix A Appendix A Appendix A Appendix A Characteristics Page 4 Page 20 Page 21 Page 22 Passband Ripple 0.0 dB 0.15 dB 0.15 dB 0.15 dB (theoretical) Stopband Attenuation Rate 48 dB/octave 60 dB min. 80 dB min. 100 dB min. Cutoff Frequency f c ± 2% max. f c ± 2% max. f c ± 2% max. f c ± 2% max. Amplitude - 3 dB - 3 dB - 3 dB - 3 dB 80.0 dB 6.07 f c Phase Match1 0 - fc ± 2° max. 0 - f c ± 2° max. 0 - f c ± 2° max. 0 - f c ± 2° max. ± 1° typ. ± 1° typ. ± 1° typ. ± 1° typ. Total Harmonic < - 100 dB typ. < - 100 dB typ. < - 100 dB typ. < - 100 dB typ. Distortion @ 1 kHz Wide Band Noise 200 mVrms typ. 200 mVrms typ. 200 mVrms typ. 200 mVrms typ. (5 Hz - 2 MHz) Narrow Band Noise 50 mVrms typ. 50 mVrms typ. 50 mVrms typ. 50 mVrms typ. (5 Hz - 100 kHz) Filter Mounting Assembly FMA-03A FMA-03A FMA-03A FMA-03A Range Switch 8-Bit Programmable

e-mail: sales@freqdev.com  Web Address: http://www.freqdev.com R858 Series 8-Pole High-Pass Filters Model R858H8B R858H8E R858H8EX R858H8EY Product Specifications Transfer Function 8-Pole 8-Pole, 6 zero 8-Pole, 6 zero 8-Pole, 6 zero Butterworth Elliptic Elliptic Elliptic Range f Theoretical Transfer Appendix A Appendix A Appendix A Appendix A Characteristics Page 29 Page 37 Page 36 Page 38 Passband Ripple 0.0 dB ± 0.035 dB -0.05 dB -0.05 dB (theoretical) Voltage Gain 0 ± 0.2 dB to 100 kHz 0 ± 0.2 dB to 100 kHz 0 ± 0.2 dB to 100 kHz 0 ± 0.2 dB to 100 kHz (non-inverting) 0 ± 0.5 dB to 120 kHz 0 ± 0.5 dB to 120 kHz 0 ± 0.5 dB to 120 kHz 0 ± 0.5 dB to 120 kHz Power Bandwidth 120 kHz 120 kHz 120 kHz 120 kHz Small Signal (-6 dB) 1 MHz (-6 dB) 1 MHz (-6 dB) 1 MHz (-6 dB) 1 MHz Bandwidth Stopband Attenuation Rate 48 dB/octave 80 dB 80 dB 100 dB Cutoff Frequency fc ± 2% max. f r ± 2% max. f r ± 2% max. f r ± 2% max. Amplitude - 3 dB - 0.035 dB - 0.05 dB - 0.05 dB Filter Attenuation 80 dB 0.31 f c 80 dB 0.56 f r 80 dB 0.64 f r 100 dB 0.50 f r ± 1° typ. ± 1° typ. ± 1.5° typ. Total Harmonic < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. < - 88 dB typ. Distortion @ 1 kHz Wide Band Noise 400 mVrms typ. 400 mVrms typ. 500 mVrms typ. 500 mVrms typ. (5 Hz - 2 MHz) Narrow Band Noise 100 mVrms typ. 100 mVrms typ. 150 mVrms typ. 150 mVrms typ. (5 Hz - 100 kHz) Filter Mounting Assembly FMA-03A FMA-03A FMA-03A FMA-03A 1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same m anufacturing lot. Range Switch 8-Bit Programmable

(25°C and Vs ± 15 Vdc) R858 Series Pin-Out and Package Data

Ordering Information

e-mail: sales@freqdev.com  Web Address: http://www.freqdev.com We hope the information given here will be helpful. The information is based on data and our best knowledge, and we consider th e 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 as sume 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 copyri ght. IN-00R858-00 20 k W (Cermet) OS +V s -V s Do not connect if trim is not required. Analog Input Characteristics1 Impedance 10 k W min. Voltage Range ± 10 Vpeak Max. Safe Voltage ±Vs Analog Output Characteristics Impedance (Closed Loop) 11 W typ. 10 W max. Linear Operating Range ±10V Maximum Current ±2 mA Offset Voltage 22 mV typ. 20 mV max. Offset Temp. Coeff. 50 mV/°C Power Supply (±Vs) Rated Voltage ±15 Vdc Operating Range ±12 to ±18 Vdc Maximum Safe Voltage ±18 Vdc Quiescent Current 8 Pole ±25 mA typ. ±40 mA max. Temperature Operating -20 to +70°C Storage -25 to +85°C Notes: 1. Input and output signal voltage referenced to supply common. 2. Output is short circuit protected to common. DO NOT CONNECT TO ±Vs. 3. Adjustable to zero. 4. Units operate with or without offset pin connected. DC Offset Adjustment Filter Type L - Low Pass H - High Pass 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 Model Number e.g., 2.00 OUT -Vs+Vs R IN Os4 CPBottom View GND 0.6 0.2 min. 0.04 Dia. Side View 4.00 R858L8B-3/5 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 (-80 dB) EY - elliptic 2.00 (-100 dB) All dimensions are in inches All Case Dimensions ± 0.01" Grid Dimensions 0.1" x 0.1" Filter Mounting Assembly-See FMA-03A Pin-Out & Package Data

e-mail: sales@freqdev.com  Web Address: http://www.freqdev.com November 2000 Programmable Filters Modules 818, 824, 828, 828BP, 828BR, 854, 858, R854, R858 I. Scope The following precautions are necessary when handling and installing Frequency Devices programmable filter modules. II. Digital Circuit Description The digital input pins connect directly to 4000 series CMOS logic, such as the 4053 analog switch. The power supply (Vss) for the digital logic on the module comes directly from the +15 Volt pin on the module. This sets the threshold voltage at 11.0 V minimum to 15.0 V maximum for a "1" (High) level V will produce unpredictable operation. Connecting 5 Volt or 3.3 V logic devices directly to the filter module without using a voltage translator will result in erratic operation of the filter. III. (VERY IMPORTANT) Power-Up and Power-Down Sequence Do not plug-in or un-plug module while power is applied. It is imperative that power is supplied to the + 15 V pin on the filter module before or at the same instance that any digital pin is pulled High (> 0.0 V). Failure to do this will result in excessive current flowing through the digital input pin and through a protection diode internal to the 4000 logic, which will result in damage to the module. The proper power-up and power-down sequence is: 1. Connect filter module ground. 2. Connect filter module +15 V. 3. Connect filter module -15 V. 4. Connect the input signal. All four of the above steps can also occur simultaneously. Power-down should occur in the reverse order. IV. ESD Issues Like most modern electronic equipment, the modules can be damaged by electrostatic discharge (ESD). The modules are shipped from the factory in sealed, anti-static packaging and should be kept in the sealed package prior to mounting on a circuit board. The following additional rules should also be observed when handling the modules after they are removed from the factory packaging: 1. Only a person wearing a properly grounded wrist strap should handle the modules. 2. Any work surface that the modules are placed on must be properly ESD grounded. 3. Any insulating materials capable of generating static charge (such as paper) should be kept away from the modules. Static generating clothing should be covered with an ESD-protective smock. Product Handling Procedure Programmable Filter Modules Power Sequence & ESD

e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Normalized Time (1/f sec) Step Response (V/V) Step Response 0 1 2 3 4 5 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 Normalized Time (1/f sec) Delay (sec) Delay (Normalized) 0.1 1.02 3 4 5 6 7 8 90.0 0.5 1.0 1.50.15 Normalized Frequency(f/fc) Amp (dB) Frequency Response 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -100 -80 -60 -40 -20 (sec) Theoretical Transfer Characteristics 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.25 2.50 2.75 3.00 3.25 3.50 4.00 5.00 6.00 7.00 8.00 9.00 10.0 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 f/fc (Hz) Amp (dB) Phase (deg) Delay -79.2 -89.8 -99.0 -107 -114 -33.4 -38.3 -43.1 -51.8 -66.8 -12.1 -13.7 -18.1 -23.1 -28.3 -6.10 -7.08 -8.16 -9.36 -10.7 -2.71 -3.01 -3.67 -4.40 -5.20 -1.06 -1.45 -1.91 -2.16 -2.42 0.00 -0.029 -0.117 -0.264 -0.470 -0.737 -610 -626 -638 -647 -655 -489 -509 -526 -552 -587 -345 -362 -402 -436 -465 -255 -273 -291 -309 -327 -173 -182 -200 -219 -237 -109 -128 -146 -155 -164 0.00 -18.2 -36.4 -54.7 -72.9 -91.1 .052 .038 .029 .023 .018 .241 .201 .170 .126 .077 .482 .468 .417 .352 .291 .505 .504 .502 .498 .492 .506 .506 .506 .506 .506 .506 .506 .506 .506 .506 .506 .506 .506 .506 .506 .506

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 Normalized Frequency(f/fc) -100 -80 -60 -40 -20 Amp (dB) 0.1 1.02 3 4 5 6 7 8 9 Normalized Time (1/f sec) 0.0 1.0 2.0 Delay (sec) 1.50.15 0 1 2 3 4 5 Normalized Time (1/f sec) -0.0 0.2 0.4 0.6 0.8 1.0 1.2 Step Response (V/V) Frequency Response Delay (Normalized) Step Response (sec) Theoretical Transfer Characteristics 0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.85 0.90 0.95 1.00 1.10 1.20 1.30 1.40 1.50 1.60 1.70 1.80 1.90 2.00 2.25 2.50 2.75 3.00 3.25 3.50 4.00 5.00 6.00 7.00 8.00 9.00 10.0 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 f/fc (Hz) Amp (dB) Phase (deg) Delay -125 -135 -144 -153 -160 -76.3 -81.9 -87.1 -96.3 -112 -44.6 -48.2 -56.3 -63.7 -70.3 -23.4 -28.2 -32.7 -36.9 -40.8 -1.58 -3.01 -7.48 -12.9 -18.2 -671 -678 -683 -687 -691 -621 -629 -635 -646 -661 -560 -568 -586 -600 -611 -494 -511 -526 -539 -550 -0.001 -0.014 -0.121 -0.311 -0.738 0.00 0.00 0.00 0.00 0.00 0.00 -333 -360 -408 -445 -472 -185 -221 -261 -283 -307 0.00 -29.4 -59.0 -89.1 -120 -152 .023 .017 .013 .010 .008 .094 .080 .069 .052 .033 .253 .226 .174 .139 .113 .540 .448 .380 .328 .287 1.48 1.46 1.17 .873 .672 .956 1.04 1.19 1.29 1.40 .816 .819 .828 .843 .867 .903 e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑

8-Pole, 6-Zero Constant Delay Appendix A Low-Pass (60 dB) e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Normalized Frequency(f/fc) Amp (dB) Normalized Time (1/f sec) Delay (sec) Normalized Time (1/f sec) Step Response (V/V) Frequency Response Delay (Normalized) Step Response 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -100 -80 -60 -40 -20 0 1 2 3 4 5 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 -0.2 0.1 1.02 3 4 5 6 7 8 90.0 0.5 1.0 1.50.15 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 1.40 1.60 1.80 2.00 2.25 0.90 0.95 1.00 1.10 1.20 0.50 0.60 0.70 0.80 0.85 0.00 0.10 0.20 0.30 0.40 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 6.50 7.00 8.00 9.00 10.0 5.00 5.25 5.50 5.75 6.00 3.75 4.00 4.25 4.50 4.75 2.50 2.75 3.00 3.25 3.50 -63.3 -63.7 -64.7 -66.0 -67.3 -64.6 -63.9 -63.5 -63.3 -63.2 -74.7 -85.0 -72.0 -67.9 -65.8 -50.5 -78.0 -63.7 -63.5 -66.9 -10.3 -15.9 -22.4 -29.4 -39.0 -2.02 -2.48 -3.01 -4.29 -5.91 -0.161 -0.384 -0.745 -1.28 -1.62 0.00 0.005 0.012 0.005 -0.042 -295 -299 -307 -313 -318 -275 -279 -283 -286 -289 -425 -253 -259 -265 -270 -544 -561 -395 -407 -417 -386 -431 -467 -495 -523 -252 -265 -279 -307 -334 -140 -168 -196 -224 -238 0.00 -28.0 -55.9 -83.9 -112 .028 .024 .019 .015 .012 .048 .044 .040 .036 .033 .088 .077 .068 .060 .054 .212 .171 .142 .119 .102 .675 .558 .443 .351 .268 .776 .775 .773 .766 .749 .776 .776 .776 .776 .776 .776 .776 .776 .776 .776

8-Pole, 6-Zero Constant Delay Appendix A Low-Pass (80 dB) e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Normalized Frequency(f/fc) Amp (dB) Normalized Time (1/f sec) Delay (sec) Normalized Time (1/f sec) Step Response (V/V) Frequency Response Delay (Normalized) Step Response 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -100 -80 -60 -40 -20 0.1 1.02 3 4 5 6 7 8 90.0 0.5 1.0 1.50.15 0 1 2 3 4 5 -0.2 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 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 1.40 1.60 1.80 2.00 2.25 0.90 0.95 1.00 1.10 1.20 0.50 0.60 0.70 0.80 0.85 0.00 0.10 0.20 0.30 0.40 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 6.50 7.00 8.00 9.00 10.0 5.00 5.25 5.50 5.75 6.00 3.75 4.00 4.25 4.50 4.75 2.50 2.75 3.00 3.25 3.50 -86.6 -85.1 -84.1 -84.3 -84.9 -92.8 -104 -101 -93.3 -89.9 -98.3 -86.3 -84.1 -85.1 -87.9 -43.4 -50.3 -57.6 -62.5 -75.4 -11.3 -17.1 -23.2 -29.1 -36.3 -1.89 -2.41 -3.01 -4.50 -6.39 0.034 -0.157 -0.510 -1.07 -1.44 0.00 0.017 0.058 0.099 0.105 -300 -305 -312 -317 -321 -462 -466 -289 -293 -295 -616 -442 -448 -454 -458 -561 -576 -589 -599 -608 -417 -459 -492 -517 -542 -276 -291 -306 -336 -365 -153 -184 -215 -245 -261 0.00 -30.7 -61.3 -92.0 -123 .026 .022 .017 .013 .011 .044 .040 .036 .033 .030 .079 .069 .061 .054 .049 .189 .153 .127 .107 .092 .656 .512 .396 .312 .239 .849 .846 .841 .821 .783 .852 .852 .852 .851 .850 .852 .852 .852 .852 .852

8-Pole, 6-Zero Constant Delay Appendix A Low-Pass (100 dB) e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ 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 Frequency(f/fc) Amp (dB) Normalized Time (1/f sec) Delay (sec) Normalized Time (1/f sec) Step Response (V/V) Actual Delay = Normalized Delay Actual Corner Frequency (fc) in Hz Frequency Response Delay (Normalized) Step Response 0 1 2 3 4 5 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 -0.2 0.1 1.02 3 4 5 6 7 8 90.0 0.5 1.0 1.50.15 .007 .005 .004 .003 .003 .025 .022 .017 .013 .011 .054 .043 .036 .030 .028 .186 .151 .125 .090 .068 .650 .504 .389 .306 .235 .861 .857 .851 .828 .785 .865 .865 .865 .864 .863 .865 .865 .865 .865 .865 0.00 -31.1 -62.3 -93.4 -125 -156 -187 -218 -249 -265 -280 -296 -311 -341 -370 -422 -464 -496 -520 -544 -563 -578 -591 -610 -624 -635 -643 -651 -476 -478 -481 -486 -312 -318 -322 -328 -333 -336 -339 -341 -105 -106 -107 -108 -109 -106 -110 -122 -109 -106 -81.3 -93.4 -142 -105 -105 -40.5 -46.1 -51.4 -61.5 -71.2 -11.2 -16.8 -22.5 -28.0 -34.5 -1.89 -2.41 -3.01 -4.50 -6.38 0.010 -0.182 -0.532 -1.09 -1.45 0.00 0.015 0.051 0.085 0.085 12.0 14.0 16.0 18.0 20.0 6.50 7.00 8.00 9.00 10.0 4.50 5.00 5.50 6.00 6.20 2.50 2.75 3.00 3.50 4.00 1.40 1.60 1.80 2.00 2.25 0.90 0.95 1.00 1.10 1.20 0.50 0.60 0.70 0.80 0.85 0.00 0.10 0.20 0.30 0.40 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 0.1 1.0 10.02 3 4 5 678 2 3 4 5 67 -120 -100 -80 -60 -40 -20

8-Pole, 6-Zero Elliptic, 1.56 Low-Pass Frequency Response Appendix A e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Amp (dB) Normalized Time (1/f sec) Delay (sec) Normalized Time (1/f sec) Step Response (V/V) Delay (Normalized) Step Response Normalized Frequency(f/fc) 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -100 -80 -60 -40 -20 0.1 1.02 3 4 5 6 7 8 90.0 2.0 4.0 1.50.15 0.8 0 1 2 3 4 5 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 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 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 4.00 5.00 6.00 7.00 2.40 2.60 2.80 3.00 3.50 1.85 1.90 1.95 2.00 2.20 1.50 1.60 1.70 1.75 1.80 1.00 1.10 1.20 1.30 1.40 0.75 0.80 0.85 0.90 0.95 0.50 0.55 0.60 0.65 0.70 8.00 9.00 10.0 0.00 0.10 0.20 0.30 0.40 -90.11 -91.82 -93.41 -84.04 -84.76 -86.45 -88.31 -88.65 -99.78 -99.97 -90.20 -85.09 -95.94 -89.31 -86.44 -84.96 -84.54 -69.11 -89.09 -85.32 -89.95 -103.5 -0.050 -10.48 -25.96 -39.45 -52.87 -0.049 -0.026 -0.001 -0.024 -0.045 -0.018 -0.003 -0.002 -0.019 -0.042 0.00 -0.001 -0.013 -0.040 -0.049 -165 -167 -168 -150 -156 -160 -163 -307 -311 -135 -139 -145 -288 -290 -292 -295 -302 -624 -453 -459 -463 -465 -414 -531 -576 -598 -614 -255 -279 -305 -335 -369 -156 -174 -192 -212 -233 0.00 -29.7 -59.8 -90.5 -122 0.005 0.004 0.003 0.022 0.014 0.009 0.007 0.069 0.057 0.048 0.041 0.029 0.158 0.126 0.117 0.110 0.087 0.265 0.211 0.174 0.156 0.147 3.062 2.043 0.814 0.493 0.348 1.264 1.388 1.557 1.767 2.111 0.972 1.016 1.064 1.116 1.178 0.823 0.829 0.844 0.865 0.904

8-Pole, 6-Zero Elliptic, 1.77 Appendix A Low-Pass e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Normalized Frequency(f/fc) Amp (dB) Normalized Time (1/f sec) Delay (sec) Normalized Time (1/f sec) Step Response (V/V) Frequency Response Delay (Normalized) Step Response 0.1 1.02 3 4 5 6 7 8 90.0 2.0 4.0 1.50.15 0.8 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -100 -80 -60 -40 -20 0 1 2 3 4 5 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 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 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 4.00 5.00 6.00 7.00 2.40 2.60 2.80 3.00 3.50 1.85 1.90 1.95 2.00 2.20 1.50 1.60 1.70 1.75 1.80 1.00 1.10 1.20 1.30 1.40 0.75 0.80 0.85 0.90 0.95 0.50 0.55 0.60 0.65 0.70 8.00 9.00 10.0 0.00 0.10 0.20 0.30 0.40 -86.2 -87.8 -89.3 -83.1 -82.1 -83.1 -84.6 -82.0 -83.5 -88.2 -99.9 -87.2 -83.6 -82.0 -83.7 -87.8 -85.8 -40.1 -51.5 -65.2 -75.0 -113.0 -0.035 -1.76 -8.28 -18.4 -29.3 -0.015 -0.041 -0.046 -0.016 -0.025 0.007 0.022 0.033 0.031 0.014 0.00 -0.004 -0.014 -0.024 -0.020 -160 -163 -164 -140 -148 -154 -157 -289 -295 -301 -305 -134 -440 -444 -447 -450 -280 -578 -594 -606 -611 -616 -323 -392 -467 -522 -558 -213 -232 -251 -272 -296 -133 -148 -163 -179 -196 0.00 -25.7 -51.6 -77.9 -105 0.007 0.005 0.004 0.030 0.018 0.013 0.009 0.099 0.081 0.067 0.057 0.040 0.217 0.198 0.182 0.168 0.126 0.517 0.381 0.296 0.265 0.239 1.65 2.14 1.86 1.19 0.753 0.989 1.04 1.12 1.23 1.40 0.811 0.840 0.872 0.908 0.946 0.713 0.716 0.724 0.740 0.767

8-Pole, 6-Zero Elliptic, 2.00 Low-Pass Frequency Response Appendix A e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Amp (dB) Normalized Time (1/f sec) Delay (sec) Normalized Time (1/f sec) Step Response (V/V) Delay (Normalized) Step Response 0.1 1.02 3 4 5 6 7 8 90.0 2.0 4.0 1.50.15 0.8 Normalized Frequency(f/fc) 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -120 -100 -80 -60 -40 -20 0 1 2 3 4 5 -0.0 0.2 0.4 0.6 0.8 1.0 1.2 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 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 4.00 5.00 6.00 7.00 2.40 2.60 2.80 3.00 3.50 1.85 1.90 1.95 2.00 2.20 1.50 1.60 1.70 1.75 1.80 1.00 1.10 1.20 1.30 1.40 0.75 0.80 0.85 0.90 0.95 0.50 0.55 0.60 0.65 0.70 8.00 9.00 10.0 0.00 0.10 0.20 0.30 0.40 -107.3 -108.6 -110.0 -111.5 -105.4 -105.1 -106.0 -121.3 -106.5 -105.0 -106.4 -123.6 -81.93 -87.78 -95.04 -106.6 -106.0 -50.35 -58.90 -67.54 -72.04 -76.79 -0.046 -7.910 -21.06 -31.96 -41.51 -0.040 -0.014 -0.001 -0.031 -0.036 -0.001 0.000 -0.007 -0.027 -0.045 0.00 -0.001 -0.015 -0.040 -0.042 -165 -167 -168 -149 -156 -160 -163 -307 -311 -315 -318 -325 -647 -650 -652 -654 -481 -623 -632 -639 -642 -645 -419 -525 -573 -597 -612 -268 -291 -317 -346 -378 -166 -185 -204 -225 -245 0.00 -31.9 -64.2 -97.0 -131 0.005 0.004 0.003 0.022 0.014 0.010 0.007 0.070 0.058 0.049 0.042 0.030 0.138 0.128 0.119 0.111 0.087 0.271 0.216 0.177 0.162 0.149 2.681 2.127 0.856 0.509 0.357 1.269 1.377 1.513 1.677 1.960 1.020 1.057 1.099 1.140 1.193 0.885 0.891 0.903 0.922 0.958

0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 Normalized Frequency(f/fc) -100 -80 -60 -40 -20 Amp (dB) Frequency Response (sec) Theoretical Transfer Characteristics 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.85 0.90 0.95 1.00 1.20 1.40 1.60 1.80 2.00 2.50 3.00 4.00 5.00 6.00 7.00 8.00 9.00 10.0 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 f/fc (Hz) Amp (dB) Phase (deg) Delay 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 -5.15 -3.01 -0.229 -0.020 -0.002 59.0 49.0 42.1 36.8 32.7 29.4 -35.5 -24.8 -15.6 -11.6 -8.06 -160 -112 -83.7 -63.7 -48.2 386 360 275 226 194 170 152 120 99.2 74.0 535 499 459 437 413 691 661 631 600 568 0.033 0.023 0.017 0.013 0.010 0.008 0.287 0.226 0.139 0.094 0.052 1.48 1.46 0.873 0.540 0.380 .956 1.04 1.19 1.29 1.40 0.819 0.828 0.843 0.867 0.903 e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑

8-Pole, 6-Zero Elliptic, 1.56 High-Pass Frequency Response Appendix A e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Amp (dB) Normalized Frequency(f/fc) 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -100 -80 -60 -40 -20 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 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 9.00 10.0 4.00 5.00 6.00 7.00 8.00 1.80 1.90 2.00 2.50 3.00 1.30 1.40 1.50 1.60 1.70 0.90 0.95 1.00 1.10 1.20 0.55 0.60 0.70 0.80 0.85 0.10 0.20 0.30 0.40 0.50 0.00 0.00 -0.03 -0.01 -0.01 0.00 0.00 0.00 -0.01 -0.02 -0.05 -0.05 -0.04 -0.05 -0.03 -0.01 0.00 -12.3 -3.08 -0.05 -0.03 -0.01 -114 -84.1 -57.0 -32.8 -22.6 -93.4 -84.8 -86.0 -92.6 -85.0 33.0 29.7 75.1 59.8 49.7 42.5 37.2 176 165 156 122 101 264 239 219 202 188 538 483 414 341 296 287 458 617 589 569 168 156 143 310 295 0.010 0.008 0.053 0.034 0.023 0.017 0.013 0.315 0.275 0.243 0.145 0.097 0.773 0.612 0.505 0.426 0.364 2.198 3.993 3.062 1.498 1.039 0.472 0.515 0.652 0.962 1.325 0.334 0.344 0.363 0.392 0.439

8-Pole, 6-Zero Elliptic, 1.77 Appendix A High-Pass e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Normalized Frequency(f/fc) Amp (dB) Frequency Response 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -100 -80 -60 -40 -20 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 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 9.00 10.0 4.00 5.00 6.00 7.00 8.00 1.80 1.90 2.00 2.50 3.00 1.30 1.40 1.50 1.60 1.70 0.90 0.95 1.00 1.10 1.20 0.55 0.60 0.70 0.80 0.85 0.10 0.20 0.30 0.40 0.50 -0.01 0.00 -0.02 -0.01 -0.01 -0.01 -0.01 0.02 0.01 0.01 -0.02 -0.02 -0.03 0.01 0.03 0.03 0.03 -2.21 -0.51 -0.03 -0.01 -0.05 -90.0 -60.2 -32.4 -13.1 -6.28 -89.3 -82.1 -90.6 -82.4 -87.8 28.6 25.7 64.7 51.6 42.9 36.8 32.1 150 141 133 105 86.9 221 201 185 172 160 401 358 324 277 225 437 603 563 498 451 164 148 131 292 450 0.009 0.007 0.046 0.029 0.020 0.015 0.011 0.260 0.229 0.203 0.123 0.083 0.596 0.486 0.409 0.347 0.299 2.66 2.15 1.64 1.04 0.757 0.761 0.890 1.37 2.35 2.77 0.440 0.459 0.495 0.559 0.671

8-Pole, 6-Zero Elliptic, 2.00 High-Pass Frequency Response Appendix A e-mail: sales@freqdev.com ∑ Web Address: http://www.freqdev.com ∑ Amp (dB) Normalized Frequency(f/fc) 0.1 1.0 10.02 3 4 5 6 78 2 3 4 5 6 7 -120 -100 -80 -60 -40 -20 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 (sec) Theoretical Transfer Characteristics 1f/fc (Hz) Amp (dB) Phase (deg) Delay 9.00 10.0 4.00 5.00 6.00 7.00 8.00 1.80 1.90 2.00 2.50 3.00 1.30 1.40 1.50 1.60 1.70 0.90 0.95 1.00 1.10 1.20 0.55 0.60 0.70 0.80 0.85 0.10 0.20 0.30 0.40 0.50 -0.002 -0.001 -0.028 -0.015 -0.008 -0.005 -0.003 0.000 -0.003 -0.010 -0.042 -0.045 -0.032 -0.046 -0.034 -0.016 -0.004 -9.46 -2.16 -0.046 -0.038 -0.001 -78.6 -64.6 -44.1 -26.7 -18.2 -110 -105 -114 -110 -107 35.5 31.9 80.6 64.2 53.4 45.7 40.0 187 176 166 131 108 277 252 231 214 200 533 478 419 352 308 646 637 615 586 565 168 156 323 309 654 0.011 0.009 0.057 0.036 0.025 0.018 0.014 0.328 0.288 0.255 0.153 0.103 0.773 0.618 0.514 0.436 0.376 2.315 3.604 2.681 1.416 1.018 0.480 0.524 0.669 1.001 1.401 0.338 0.348 0.367 0.397 0.445