858

858 Series 0.1 Hz to 102.4 kHz 8-Bit Programmable Description 2" x 4" 8-Pole Filters The 858 Series are digitally programmable low pass and high-pass active filters that are tunable over a 256:1 frequency range. 858 filters are available with any one of six standard factory-set tuning ranges up to 102.4 kHz. These units contain 8 CMOS logic inputs that can be operated in a transparent or latching mode. All 858 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. 858 filters operate from non-critical ± 12 to ± 18 Vdc power supplies, have a 10 kW (min.) input impedance, a 10 W (max.) output impedance and offer dc voltage offset adjustment. Features/Benefits: • Lower cost, high precision replacement for 848 and 878 series products. • 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: . . . . . . . . . . . . . . . . . . . 858L8B 8-pole Butterworth . . . . . . . . . . . . . . . . . 3 858L8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . . . 3 858L8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . . . 3 858L8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . . . 3 858L8L 8-pole Bessel . . . . . . . . . . . . . . . . . . . . . 4 858L8D60 8-pole constant delay (-60dB). . . . . . . . . 4 858L8D80 8-pole constant delay (-80dB). . . . . . . . . 4 858L8D10 8-pole constant delay (-100dB) . . . . . . . . 4 Available High-Pass Models: . . . . . . . . . . . . . . . . . . 858H8B 8-pole Butterworth . . . . . . . . . . . . . . . . . . 5 858H8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . . . 5 858H8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . . . 5 858H8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . . . 5 General Specifications: Ordering information . . . . . . . . . . . . . . . . . . . . . . . . . 6 Pin-out/package data . . . . . . . . . . . . . . . . . . . . . . . . 6 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com 858 Series 8-Bit Programmable Filters Digital Tuning Characteristics The digital tuning interface circuits are two 4042 quad CMOS latches which accept the following CMOS-compatible inputs: eight tuning bits (D0 - D7), 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 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 3 2 1 0 7 6 5 4 Digital Tuning & Control Characteristics Pin-Out Key IN OUT GND “P” “C” +Vs -Vs Os Analog Input Signal Analog Output Signal Power and Signal Return Transition Polarity Bit Tuning Strobe Bit Supply Voltage, Positive Supply Voltage, Negative Offset Adjustment D7 Tuning D6 Tuning D5 Tuning D4 Tuning D3 Tuning D2 Tuning D1 Tuning D0 Tuning 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 GND D3 D2 D1 D0 IN Os Data Input Specifications Data Control Lines Functions Latch Strobe (C) Transition Polarity (P) frequency follows input codes frequency latched on rising edge frequency follows input codes frequency latched on falling edge Data Control Modes Mode 1 P = 0; C = 0 P = 0; C = 0› Mode 2 P = 1; C = 1 P = 1; C = 1fl Bottom View PC MSB 2 4 Vdc max. 15 Vdc max. -1 mA max.. +1 mA max. 7.5 pF max. 0 0 0 0 0 1 7 --2 6 --2 5 --2 4 --2 3 --2 2 --2 1 LSB 2 0 Bit Weight Corner Frequency Input Data Levels (CMOS Logic) fc Input Voltage (Vs = 15 Vdc) Low Level In 0 Vdc min. High Level In 11 Vdc min. Input Current High Level In Low Level In Input Capacitance Input Data Format Positive Logic Bit Weighting D0 D7 Frequency Range - 10 mA typ. -5 +10 mA typ. 5 pF typ -5 D7 0 0 0 D6 0 0 0 0 0 0 0 1 1 D5 0 0 0 0 0 0 1 1 1 D4 0 0 0 0 0 1 1 1 1 D3 0 0 0 0 1 1 1 1 1 D2 0 0 0 1 1 1 1 1 1 D1 0 0 1 1 1 1 1 1 1 D0 0 1 1 1 1 1 1 1 1 fmax/256 fmax/128 fmax/64 fmax/32 fmax/16 fmax/8 fmax/4 fmax/2 fmax Frequency Select Bits Logic "1" = +Vs Logic "0" = Gnd (Binary-Coded) LSB (least significant bit) MSB (most significant bit) 256 : 1, Binary Weighted Notes: 1. Frequency data must be present before occurrence of strobe edge. 2. Frequency data must be present after occurrence of strobe edge. 2 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com 858 Series 8-Bit Programmable Model Product Specifications Transfer Function Size, Model 2 Model 3 thru 6 Range fc, fr Theoretical Transfer Characteristics Passband Ripple (theoretical) 8-Pole Low-Pass Filters 858L8E 858L8EX 858L8EY 858L8B 8-Pole Butterworth 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 9 0.0 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 48 dB/octave fc ± 0.01% /°c - 3 dB -360° 0.12 dB 3.01 dB 60.0 dB 80.0 dB 0 - 0.8 fc ± 2% max. 8-Pole, 6 zero Elliptic 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 24 ± 0.035 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 80 dB min. fr ± 0.01% /°c - 0.035 dB -323.5° 0.035 dB 3.01 dB 60.0 dB 80.0 dB 0 - 0.8 fr ± 2% max. 8-Pole, 6 zero Elliptic 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 23 0.05 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 80 dB min. fr ± 0.01% /°c - 0.05 dB -414° 0.5 dB 3.01 dB 60.0 dB 80.0 dB 0 - 0.8 fr ± 2% max. 8-Pole, 6 zero Elliptic 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 25 0.05 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 100 dB min. fr ± 0.01% /°c - 0.05 dB -419° 0.5 dB 3.01 dB 80.0 dB 100.0 dB 0 - 0.8 fr 0.8 fr - 1.0 fr 0 - 0.8 fr 0.8 fr - 1.0 fr ± 2% max. DC Voltage Gain (non-inverting) Stopband Attenuation Rate Cutoff Frequency Stability Amplitude Phase Filter Attenuation (theoretical) 0.80 fc 1.00 fc 2.37 fc 3.16 fc 1.00 fr 1.13 fr 1.67 fr 1.77 fr 1.00 fr 1.05 fr 1.45 fr 1.56 fr 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. Phase Match1 ± 2° max. ± 1° typ. 0.8 fc - 1.0 fc ± 3° max. ± 1.5° 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. ± 2° max. ± 1° typ. 0.8 fr - 1.0 fr ± 4° max. ± 2° typ. 0 - 0.8 fr ± .2 dB max. ± .1 dB typ. 0.8 fr - 1.0 fr ± .3 dB max. ± .15 dB typ. < - 88 dB typ. 200 mVrms typ. 50 mVrms typ. ± 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 fr - 1.0 fr ± 0.5 dB max. ± 0.25 dB typ. < - 88 dB typ. 250 mVrms typ. 75 mVrms typ. Amplitude Accuracy (theoretical) Total Harmonic Distortion @ 1 kHz Wide Band Noise (5 Hz - 2 MHz) < - 100 dB typ. 200 mVrms typ. 50 mVrms typ. < - 88 dB typ. 250 mVrms typ. 75 mVrms typ. Narrow Band Noise (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 manufacturing lot. 3 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com 858 Series 8-Bit Programmable Model Product Specifications Transfer Function Size, Model 2 Model 3 thru 6 Range fc Theoretical Transfer Characteristics Passband Ripple (theoretical) 8-Pole Low-Pass Filters 858L8D60 858L8D80 858L8D10 858L8L 8-Pole Bessel 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 4 0.0 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 48 dB/octave fc ± 0.01% /°c - 3 dB -182° 1.91 dB 3.01 dB 60.0 dB 80.0 dB 0 - fc 0 - fc ± 2% max. 8-Pole, 6 zero Constant Delay 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 20 0.15 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 60 dB min. fc ± 0.01% /°c - 3 dB -306° 3.01 dB 40.0 dB 60.0 dB 0 - fc 0 - 0.8 fc ± 2% max. 8-Pole, 6 zero Constant Delay 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 21 0.15 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 80 dB min. fc ± 0.01% /°c - 3 dB -306° 3.01 dB 60.0 dB 80.0 dB 0 - fc 0 - 0.8 fc ± 2% max. 8-Pole, 6 zero Constant Delay 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 22 0.15 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 100 dB min. fc ± 0.01% /°c - 3 dB -311° 3.01 dB 80.0 dB 100.0 dB 0 - fc 0 - 0.8 fc 0.8 fc - 1.0 fc ± 2% max. DC Voltage Gain (non-inverting) Stopband Attenuation Rate Cutoff Frequency Stability Amplitude Phase Filter Attenuation (theoretical) 0.80 fc 1.00 fc 4.52 fc 6.07 fc ± 2° max. ± 1° typ. ± 0.2 dB max. ± 0.1 dB typ. 1.00 fc 2.28 fc 2.64 fc ± 2° max. ± 1° typ. 1.00 fc 3.08 fc 3.57 fc ± 2° max. ± 1° 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. Phase Match1 Amplitude Accuracy (theoretical) ± 0.2 dB max. ± 0.1 dB typ. 0.8 fc - 1.0 fc ± 0.3 dB max. ± 0.15 dB typ. < - 100 dB typ. 200 mVrms typ. 50 mVrms typ. ± 0.2 dB max. ± 0.1 dB typ. 0.8 fc - 1.0 fc ± 0.3 dB max. ± 0.15 dB typ. < - 100 dB typ. 200 mVrms typ. 50 mVrms typ. Total Harmonic Distortion @ 1 kHz Wide Band Noise (5 Hz - 2 MHz) < - 100 dB typ. 200 mVrms typ. 50 mVrms typ. < - 100 dB typ. 200 mVrms typ. 50 mVrms typ. Narrow Band Noise (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 manufacturing lot. 4 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com 858 Series 8-Bit Programmable Model Product Specifications Transfer Function Size, Model 2 Model 3 thru 6 Range fc, fr Theoretical Transfer Characteristics Passband Ripple (theoretical) 8-Pole High-Pass Filters 858H8E 858H8EX 858H8EY 858H8B 8-Pole Butterworth 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 29 0.0 dB 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz 120 kHz (-6 dB) 1 MHz 8-Pole, 6 zero Elliptic 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 37 ± 0.035 dB 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz 120 kHz (-6 dB) 1 MHz 8-Pole, 6 zero Elliptic 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 36 - 0.05 dB 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz 120 kHz (-6 dB) 1 MHz 8-Pole, 6 zero Elliptic 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.4” 0.1 Hz to 102.4 kHz Appendix A Page 38 - 0.05 dB 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz 120 kHz (-6 dB) 1 MHz Voltage Gain (non-inverting) Power Bandwidth Small Signal Bandwidth Stopband Attenuation Rate Cutoff Frequency Stability Amplitude Phase Filter Attenuation (theoretical) 48 dB/octave fc ± 0.01% /°c - 3 dB -360° 80 dB 60.0 dB 3.01 dB 0.00 dB ± 2% max. 80 dB fr ± 0.01% /°c - 0.035 dB -323.5° 80 dB 60.0 dB 3.01 dB 0.03 dB 0.00 dB fr - 1.25 fr ± 2% max. 80 dB fr ± 0.01% /°c - 0.05 dB -414° 80 dB 60.0 dB 3.01 dB 0.03 dB 0.00 dB fr - 1.25 fr ± 2% max. 100 dB fr ± 0.01% /°c - 0.05 dB -419° 100 dB 80.0 dB 3.01 dB 0.03 dB 0.00 dB fr - 1.25 fr ± 2% max. 0.31 fc 0.42 fc 1.00 fc 2.00 fc 0.56 fr 0.60 fr 0.88 fr 1.00 fr 2.00 fr 0.64 fr 0.69 fr 0.95 fr 1.00 fr 2.00 fr 0.50 fr 0.55 fr 0.94 fr 1.00 fr 2.00 fr Phase Match1 fc - 100 kHz ± 3° max. ± 1.5° typ. ± 4° max. ± 2° typ. 1.25 fr-100 kHz ± 2° max. ± 1° typ. ± 4° max. ± 2° typ. 1.25 fr-100 kHz± 2° max. ± 1° typ. ± 4° max. ± 2° typ. 1.25 fr-100 kHz ± 3° max. ± 1.5° typ. ± 0.5 dB max. ± 0.25 dB typ. ± 0.2 dB max. ± 0.1 dB typ. Amplitude Accuracy (theoretical) ± 0.30 dB max. fr-1.25 fr ± 0.15 dB typ. 1.25 fc-100kHz± 0.20 dB max. 1.25 fr-100 kHz ± 0.10 dB typ. < - 100 dB typ. 400 mVrms typ. 100 mVrms typ. < - 88 dB typ. fc-1.25 fc ± 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. < - 88 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. < - 88 dB typ. 500 mVrms typ. 150 mVrms typ. Total Harmonic Distortion @ 1 kHz Wide Band Noise (5 Hz - 2 MHz) 400 mVrms typ. 100 mVrms typ. 500 mVrms typ. 150 mVrms typ. Narrow Band Noise (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 manufacturing lot. 5 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com 858 Series 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 Temperature Operating Storage 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. Pin-Out and Package Data Ordering Information Pin-Out & Package Data 4.00 10 k W min. ± 10 Vpeak ±Vs 11 W typ. 10 W max. ±10V ±2 mA 22 mV typ. 20 mV max. 50 mV/°C M-2 0.6 0.4 M-1 Side View All dimensions are in inches All Case Dimensions ± 0.01" Grid Dimensions 0.1" x 0.1" 0.2 min 0.04 Dia. OUT +Vs -Vs D7 D6 D5 D4 2.00 GND D3 D2 D1 D0 IN Os 4 ±15 Vdc ±12 to ±18 Vdc ±18 Vdc ±25 mA typ. ±40 mA max. -20 to +70°C -25 to +85°C Bottom View PC Filter Mounting Assembly-See FMA-03A Ordering Information Filter Type L - Low Pass H - High Pass 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) DC Offset Adjustment + Vs Do not connect if trim is not required. 858L8B-3 Model Number e.g., Model 20 k W (Cermet) OS - Vs Number 1 2 3 4 5 6 Tuning Range (Hz) 0.1 to 25.6 1.0 to 256 10 to 2560 100 to 25.6k 200 to 51.2k 400 to 102.4k Minimum Step(Hz) 0.1 1.0 10 100 200 400 Case M-2 M-2 M-1 M-1 M-1 M-1 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-00858-00 6 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com Product Handling Procedure Programmable Filter Modules Power Sequence & ESD 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 and 0.0 V minimum to 4.0 V maximum for a "0" (Low) level. Applying a voltage between 4.0 and 11.0 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. 1 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: sales@freqdev.com • Web Address: http://www.freqdev.com 8-Pole Bessel Appendix A 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 Low-Pass Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 Delay (Normalized) 1.0 Delay (sec) 0.5 0.0 0.1 0.15 2 3 4 5 6 7 89 Normalized Time (1/f sec) 1.0 1.5 Step Response Step Response (V/V) 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 -0.2 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 1 2 3 4 5 Normalized Time (1/f sec) 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel:800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 4 Low-Pass 8-Pole Appendix A 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 Butterworth Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 1.0 2 3 4 5 67 10.0 Normalized Frequency(f/fc) Delay (Normalized) 2.0 Delay (sec) 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 Step Response (V/V) 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) 5 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 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 9 8-Pole, 6-Zero Constant Delay Appendix A 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 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 Low-Pass (60 dB) Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 Delay (Normalized) 1.0 Delay (sec) 0.5 0.0 0.1 0.15 2 1.0 1.5 Normalized Time (1/f sec) 3 4 5 6 7 89 Step Response Step Response (V/V) 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) 5 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 20 8-Pole, 6-Zero Constant Delay Appendix A 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 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 Low-Pass (80 dB) Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 Delay (Normalized) 1.0 Delay (sec) 0.5 0.0 0.1 0.15 2 1.0 1.5 Normalized Time (1/f sec) 3 4 5 6 7 89 Step Response Step Response (V/V) 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) 5 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 21 8-Pole, 6-Zero Constant Delay Appendix A 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 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 Low-Pass (100 dB) Frequency Response 0 -20 Amp (dB) -40 -60 -80 -100 -120 0.1 2 3 4 5 6 78 1.0 10.0 Normalized Frequency(f/fc) 2 3 4 5 67 Delay (Normalized) 1.0 Delay (sec) 0.5 0.0 0.1 0.15 2 1.0 1.5 Normalized Time (1/f sec) 3 4 5 6 7 89 Step Response Step Response (V/V) 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) 5 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 22 8-Pole, 6-Zero Elliptic, 1.56 Appendix A 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). Actual Delay = Normalized Delay Actual Corner Frequency (fc) in Hz Low-Pass Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 1.0 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 2 3 4 5 67 Delay (Normalized) 4.0 Delay (sec) 2.0 0.8 0.0 0.1 0.15 2 1.0 1.5 Normalized Time (1/f sec) 3 4 5 6 7 89 Step Response Step Response (V/V) 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) 5 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 23 8-Pole, 6-Zero Elliptic, 1.77 Appendix A 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). Actual Delay = Normalized Delay Actual Corner Frequency (fc) in Hz Low-Pass Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 Delay (Normalized) 4.0 Delay (sec) 2.0 0.8 0.0 0.1 0.15 2 1.0 1.5 Normalized Time (1/f sec) 3 4 5 6 7 89 Step Response Step Response (V/V) 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) 5 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 24 8-Pole, 6-Zero Elliptic, 2.00 Appendix A 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). Actual Delay = Normalized Delay Actual Corner Frequency (fc) in Hz Low-Pass Frequency Response 0 -20 Amp (dB) -40 -60 -80 -100 -120 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 Delay (Normalized) 4.0 Delay (sec) 2.0 0.8 0.0 0.1 0.15 2 1.0 1.5 Normalized Time (1/f sec) 3 4 5 6 7 89 Step Response Step Response (V/V) 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) 5 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 25 High-Pass 8-Pole Appendix A 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 0.226 120 0.139 0.00 2.50 0.094 0.00 99.2 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 Butterworth Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 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 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 29 8-Pole, 6-Zero Elliptic, 1.56 Appendix A 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 -0.01 0.426 202 188 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 High-Pass Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 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 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 36 8-Pole, 6-Zero Elliptic, 1.77 Appendix A 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 High-Pass Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 1.0 2 3 4 5 67 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 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 37 8-Pole, 6-Zero Elliptic, 2.00 Appendix A 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 0.60 0.524 -64.6 637 0.70 0.669 -44.1 615 0.80 1.001 -26.7 586 0.85 1.401 -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 -0.016 214 0.436 1.60 -0.004 200 0.376 1.70 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 High-Pass Frequency Response 0 -20 Amp (dB) -40 -60 -80 -100 -120 0.1 2 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 3 4 5 6 78 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 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: sales@freqdev.com ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 38