428L4L

428 Series 10 Hz - 102.4 kHz 4-Bit Programmable 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 U.S. Selling Price (1-9) Orders for Export Minimum Order Value $150.00 Lead-Time: 2-4 weeks A.R.O. $320.00 ea. U.S. Selling Price + 20% F.O.B. Haverhill, MA Accept Visa, Mcard, Amex 32-Pin DIP 8-Pole Filters 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 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 428 Series 4-Bit Programmable Filters Digital Tuning Characteristics The digital tuning interface circuits are a parallel set of CMOS switches which accept CMOS compatible inputs for the four tuning bits (D0 - D3). Digital Tuning & Control Characteristics Pin-Out Key IN Analog Input Signal D3 D2 Tuning Bit 3 (MSB) Tuning Bit 2 Tuning Bit 1 Tuning Bit 0 (LSB) OUT Analog Output Signal GND Power and Signal Return D1 Binary Tuning Range MSB 23 D3 0 0 0 0 1 --22 D2 0 0 0 1 1 --21 D1 0 0 1 1 1 LSB 20 D0 0 1 1 1 1 Bit Weight fc - corner frequency fmax/16 fmax/8 fmax/4 fmax/2 fmax +Vs -Vs Os Supply Voltage, Positive D0 Supply Voltage, Negative +5V Logic Power Offset Adjustment 0.80 0.70 Out Bottom View Gnd Os4 -Vs +Vs D1 +5V D2 D3 In 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) = fmax /16 D0 0.10 0.00 0.80 0.90 1.00 1.10 0.00 Discrete Frequencies F FB F1 F2 F3 F4 D0 0 1 1 1 1 D1 0 0 1 1 1 D2 0 0 0 1 1 D3 0 0 0 0 1 Data Input Specifications Input Data Levels Input Voltage (Vs=15 Vdc) Low Level In High Level In Input Current High Level In Low Level In Input Capacitance Input Data Format Positive Logic (+5Vdc CMOS Logic) 0 Vdc min. 3.5 Vdc min. -0.4µA typ. +0.4µA typ. 20 pF typ. 0.5 Vdc max. 5.0 Vdc max. -2.0µA max. +2.0µA max. 30 pF max. 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. Frequency Select Bits Logic “1” = (+5Vdc) Logic “0” = Gnd (Binary-Coded) LSB (least significant bit) MSB (most significant bit) Bit Weight D0 D3 Frequency Range16:1 Binary Weighted 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 1.50 1.60 1.30 1.80 0.30 0.50 428 Series 4-Bit Programmable Model Product Specifications Transfer Function Size Range fc, fr Theoretical Transfer Characteristics Passband Ripple (theoretical) 8-Pole Low-Pass Filters 428L4E 428L4EX 428L4EY 428L4B 8-Pole Butterworth 0.8” x 1.8” x 0.5” 10.0 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 0.8" x 1.8" x 0.5" 10.0 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 0.8 fr - 1.0 fr ± 2% max. 8-Pole, 6 zero Elliptic 0.8" x 1.8" x 0.5" 10.0 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° 0.05 dB 3.01 dB 60.0 dB 80.0 dB 0 - 0.8 fr 0.8 fr - 1.0 fr ± 2% max. 8-Pole, 6 zero Elliptic 0.8" x 1.8" x 0.5" 10.0 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° 0.05 dB 3.01 dB 80.0 dB 100.0 dB 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 ± 2° max. ± 1° typ. ± 4° max. ± 2° typ. 1.00 fr 1.05 fr 1.45 fr 1.56 fr ± 3° max. ± 1.5° typ. ± 4° max. ± 2° 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. Phase Match1 ± 2° max. ± 1° typ. 0.8 fc - 1.0 fc ± 3° max. ± 1.5° typ. 0 - 0.8 fc Amplitude Accuracy (theoretical) ± 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. < - 88 dB typ. 200 µVrms typ. 50 µVrms typ. ± .2 dB max. 0 - 0.8 fr ± .1 dB typ. ± .3 dB max. 0.8 fr - 1.0 fr ± .15 dB typ. < - 88 dB typ. ± 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. < - 88 dB typ. Total Harmonic Distortion @ 1 kHz Wide Band Noise (5 Hz - 2 MHz) < - 100 dB typ. 200 µVrms typ. 50 µVrms typ. 250 µVrms typ. 75 µVrms typ. 250 µVrms typ. 75 µVrms typ. Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly FMA-02A FMA-02A FMA-02A FMA-02A 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 428 Series 4-Bit Programmable Model Product Specifications Transfer Function Size Range fc Theoretical Transfer Characteristics Passband Ripple (theoretical) 8-Pole Low-Pass Filters 428L4D60 428L4D80 428L4D10 428L4L 8-Pole Bessel 0.8” x 1.8” x 0.5” 10.0 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 ± 2% max. 8-Pole, 6 zero Constant Delay 0.8" x 1.8" x 0.5" 10.0 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 ± 2% max. 8-Pole, 6 zero Constant Delay 0.8" x 1.8" x 0.5" 10.0 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 ± 2% max. 8-Pole, 6 zero Constant Delay 0.8" x 1.8" x 0.5" 10.0 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 ± 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. 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 - 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. < - 100 dB typ. 200 µVrms typ. 50 µVrms typ. ± 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. < - 100 dB typ. Total Harmonic Distortion @ 1 kHz Wide Band Noise (5 Hz - 2 MHz) < - 100 dB typ. 200 µVrms typ. 50 µVrms typ. < - 100 dB typ. 200 µVrms typ. 50 µVrms typ. 200 µVrms typ. 50 µVrms typ. Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly FMA-02A FMA-02A FMA-02A FMA-02A 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 428 Series 4-Bit Programmable Model Product Specifications Transfer Function Size Range fc, fr Theoretical Transfer Characteristics Passband Ripple (theoretical) 8-Pole High-Pass Filters 428H4E 428H4EX 428H4EY 428H4B 8-Pole Butterworth 0.8” x 1.8” x 0.5” 10.0 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 0.8" x 1.8" x 0.5" 10.0 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 0.8" x 1.8" x 0.5" 10.0 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 0.8" x 1.8" x 0.5" 10.0 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) ± 0.3 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. < - 100 dB typ. 400 µVrms typ. 100 µVrms 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 µVrms typ. 150 µVrms typ. Total Harmonic Distortion @ 1 kHz Wide Band Noise (5 Hz - 2 MHz) 400 µVrms typ. 100 µVrms typ. 500 µVrms typ. 150 µVrms typ. Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly FMA-02A FMA-02A FMA-02A FMA-02A 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 428 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 (±V) Rated Voltage Operating Range Maximum Safe Voltage Quiescent Current 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 0.50 428 0.00 0.025 Dia. All dimensions are in inches All case dimensions ±0.02" 10 k Ω min. ± 10 Vpeak ±Vs 11 Ω typ. 10 Ω max. ±10V ±2 mA 22 mV typ. 20 mV max. 50 µV/°C (Side View) 0.15 min. 0.80 0.70 Out Bottom View Gnd Os4 -Vs +Vs D1 +5V D2 D3 In D0 0.10 0.00 0.80 0.90 1.00 1.10 0.00 Filter Mounting Assembly-See FMA-02A ±15 Vdc ±12 to ±18 Vdc ±18 Vdc ±25 mA typ. ±40 mA max. -20 to +70°C -25 to +85°C Ordering Information Filter Type L - Low Pass H - High Pass 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) 428 L4E-7 Model Number 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. DC Offset Adjustment + Vs Do not connect if trim is not required. Customer must specify f1 ,f2 ,f3, f4,f5. Maximum span f1 ⇒ f5 1,000:1. Contact factory for custom frequency’s Discrete Frequency’s 20 k Ω (Cermet) OS - Vs 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-00428-01 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 1.50 1.60 1.30 1.80 0.30 0.50 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