428 Series 32-Pin DIP 8-Pole Filters 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 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: [email protected] • Web Address: http://www.freqdev.com 428 Series Digital Tuning & Control Characteristics 4-Bit Programmable Filters Digital Tuning Characteristics Pin-Out Key The digital tuning interface circuits are a parallel set of CMOS switches which accept CMOS compatible inputs for the four tuning bits (D0 - D3). IN 20 D0 0 1 1 1 1 Bit Weight fc - corner frequency fmax/16 fmax/8 fmax/4 fmax/2 fmax D1 0 0 1 1 1 D2 0 0 0 1 1 Tuning Bit 0 (LSB) -Vs Supply Voltage, Negative +5V Logic Power Os Offset Adjustment D0 Bottom View Gnd Os4 -Vs +Vs Out D0 D1 +5V In D2 D3 0.00 0.10 0.00 Data Input Specifications Discrete Frequencies D0 0 1 1 1 1 Supply Voltage, Positive 0.80 0.70 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 F FB F1 F2 F3 F4 +Vs 1.80 21 D1 0 0 1 1 1 Tuning Bit 1 1.50 1.60 22 D2 0 0 0 1 1 GND Power and Signal Return D1 1.30 23 D3 0 0 0 0 1 Tuning Bit 2 0.80 0.90 1.00 1.10 LSB D2 0.50 --- Tuning Bit 3 (MSB) 0.30 --- D3 OUT Analog Output Signal Binary Tuning Range MSB Analog Input Signal D3 0 0 0 0 1 Input Data Levels Discrete Tuning Equation: fc = FB + D0[∆f0] + D1[∆f1] + D2[∆f2] + D3[∆f3] ∆f0, ∆f1, ∆f2, ∆f3 are the incremental frequency shifts for the data bits D0, D1, D2 and D3. They are selected to realize the five customer specified programming frequencies FB ⇒ F4. Other programming codes produce valid fc’s between FB and F4. (+5Vdc CMOS Logic) Input Voltage (Vs=15 Vdc) Low Level In High Level In 0 Vdc min. 3.5 Vdc min. 0.5 Vdc max. 5.0 Vdc max. Input Current High Level In Low Level In -0.4µA typ. +0.4µA typ. -2.0µA max. +2.0µA max. Input Capacitance 20 pF typ. 30 pF max. Input Data Format Positive Logic Frequency Select Bits Logic “1” = (+5Vdc) Logic “0” = Gnd Bit Weight D0 D3 (Binary-Coded) LSB (least significant bit) MSB (most significant bit) Frequency Range16:1 Binary Weighted 2 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 428 Series 8-Pole Low-Pass Filters 4-Bit Programmable Model 428L4B 428L4E 428L4EX 428L4EY Transfer Function 8-Pole Butterworth 8-Pole, 6 zero Elliptic 8-Pole, 6 zero Elliptic 8-Pole, 6 zero Elliptic Size 0.8” x 1.8” x 0.5” 0.8" x 1.8" x 0.5" 0.8" x 1.8" x 0.5" 0.8" x 1.8" x 0.5" Range fc, fr 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz Theoretical Transfer Characteristics Appendix A Page 9 Appendix A Page 24 Appendix A Page 23 Appendix A Page 25 Passband Ripple 0.0 dB ± 0.035 dB -0.05 dB -0.05 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 0 ± 0.1 dB max. 0 ± 0.05 dB typ. Stopband Attenuation Rate 48 dB/octave 80 dB min. 80 dB min. 100 dB min. Cutoff Frequency Stability Amplitude Phase fc ± 0.01% /°c -3 dB -360° Filter Attenuation 0.12 dB 3.01 dB 60.0 dB 80.0 dB Product Specifications (theoretical) DC Voltage Gain (non-inverting) (theoretical) Phase Match1 Amplitude Accuracy (theoretical) 0 - 0.8 fc ± 2% max. 0.80 fc 1.00 fc 2.37 fc 3.16 fc ± 2° max. ± 1° typ. 0.8 fc - 1.0 fc ± 3° max. ± 1.5° typ. fr ± 0.01% /°c -0.035 dB -323.5° ± 2% max. 0.035 dB 3.01 dB 60.0 dB 80.0 dB 1.00 fr 1.13 fr 1.67 fr 1.77 fr 0 - 0.8 fr ± 2° max. ± 1° typ. ± 4° max. ± 2° typ. 0.8 fr - 1.0 fr 0 - 0.8 fc ± 0.2 dB max. 0 - 0.8 fr ± 0.1 dB typ. 0.8 fc - 1.0 fc ± 0.3 dB max. 0.8 fr - 1.0 fr ± 0.15 dB typ. fr ± 0.01% /°c -0.05 dB -414° ± 2% max. 0.05 dB 3.01 dB 60.0 dB 80.0 dB 1.00 fr 1.05 fr 1.45 fr 1.56 fr 0 - 0.8 fr ± 3° max. ± 1.5° typ. ± 4° max. ± 2° typ. 0.8 fr - 1.0 fr ± .2 dB max. 0 - 0.8 fr ± .1 dB typ. ± .3 dB max. 0.8 fr - 1.0 fr ± .15 dB typ. fr ± 0.01% /°c -0.05 dB -419° ± 2% max. 0.05 dB 3.01 dB 80.0 dB 100.0 dB 0 - 0.8 fr 0.8 fr - 1.0 fr ± 0.2 dB max. 0 - 0.8 fr ± 0.1 dB typ. ± 0.5 dB max. 0.8 fr - 1.0 fr ± 0.25 dB typ. 1.00 fr 1.06 fr 1.83 fr 2.00 fr ± 3° max. ± 1.5° typ. ± 4° max. ± 2° typ. ± 0.2 dB max. ± 0.1 dB typ. ± 0.5 dB max. ± 0.25 dB typ. Total Harmonic Distortion @ 1 kHz < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. < - 88 dB typ. Wide Band Noise 200 µVrms typ. 200 µVrms typ. 250 µVrms typ. 250 µVrms typ. 50 µVrms typ. 50 µVrms typ. 75 µVrms typ. 75 µVrms typ. FMA-02A FMA-02A FMA-02A FMA-02A (5 Hz - 2 MHz) Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly 1. Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot. 3 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 428 Series 8-Pole Low-Pass Filters 4-Bit Programmable Model 428L4L 428L4D60 428L4D80 428L4D10 Transfer Function 8-Pole Bessel 8-Pole, 6 zero Constant Delay 8-Pole, 6 zero Constant Delay 8-Pole, 6 zero Constant Delay Size 0.8” x 1.8” x 0.5” 0.8" x 1.8" x 0.5" 0.8" x 1.8" x 0.5" 0.8" x 1.8" x 0.5" Range fc 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz Theoretical Transfer Characteristics Appendix A Page 4 Appendix A Page 20 Appendix A Page 21 Appendix A Page 22 Passband Ripple 0.0 dB 0.15 dB 0.15 dB 0.15 dB 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 0 ± 0.1 dB max. 0 ± 0.05 dB typ. 0 ± 0.1 dB max. 0 ± 0.05 dB typ. Stopband Attenuation Rate 48 dB/octave 60 dB min. 80 dB min. 100 dB min. Cutoff Frequency Stability Amplitude Phase fc ± 0.01% /°c -3 dB -182° Filter Attenuation 1.91 dB 3.01 dB 60.0 dB 80.0 dB Product Specifications (theoretical) DC Voltage Gain (non-inverting) (theoretical) ± 2% max. 0.80 fc 1.00 fc 4.52 fc 6.07 fc fc ± 0.01% /°c -3 dB -306° ± 2% max. 3.01 dB 40.0 dB 60.0 dB 1.00 fc 2.28 fc 2.64 fc ± 2° max. ± 1° typ. ± 2% max. 3.01 dB 60.0 dB 80.0 dB Phase Match1 0 - fc ± 2° max. ± 1° typ. Amplitude Accuracy 0 - fc ± 0.2 dB max. 0 - 0.8 fc ± 0.2 dB max. 0 - 0.8 fc ± 0.1 dB typ. ± 0.1 dB typ. 0.8 fc - 1.0 fc ± 0.3 dB max. 0.8 fc -1.0 fc ± 0.15 dB typ. (theoretical) 0 - fc fc ± 0.01% /°c -3 dB -306° 0 - fc 1.00 fc 3.08 fc 3.57 fc ± 2° max. ± 1° typ. fc ± 0.01% /°c -3 dB -311° ± 2% max. 3.01 dB 80.0 dB 100.0 dB 0 - fc ± 0.2 dB max. 0 - 0.8 fc ± 0.1 dB typ. ± 0.3 dB max. 0.8 fc - 1.0 fc ± 0.15 dB typ. 1.00 fc 4.45 fc 5.20 fc ± 2° max. ± 1° typ. ± 0.2 dB max. ± 0.1 dB typ. ± 0.3 dB max. ± 0.15 dB typ. Total Harmonic Distortion @ 1 kHz < - 100 dB typ. < - 100 dB typ. < - 100 dB typ. < - 100 dB typ. Wide Band Noise 200 µVrms typ. 200 µVrms typ. 200 µVrms typ. 200 µVrms typ. 50 µVrms typ. 50 µVrms typ. 50 µVrms typ. 50 µVrms typ. FMA-02A FMA-02A FMA-02A FMA-02A (5 Hz - 2 MHz) Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly 1. Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot. 4 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 428 Series 8-Pole High-Pass Filters 4-Bit Programmable Model 428H4B 428H4E 428H4EX 428H4EY Transfer Function 8-Pole Butterworth 8-Pole, 6 zero Elliptic 8-Pole, 6 zero Elliptic 8-Pole, 6 zero Elliptic Size 0.8” x 1.8” x 0.5” 0.8" x 1.8" x 0.5" 0.8" x 1.8" x 0.5" 0.8" x 1.8" x 0.5" Range fc, fr 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz Theoretical Transfer Characteristics Appendix A Page 29 Appendix A Page 37 Appendix A Page 36 Appendix A Page 38 Passband Ripple 0.0 dB ± 0.035 dB -0.05 dB -0.05 dB 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz 0 ± 0.2 dB to 100 kHz 0 ± 0.5 dB to 120 kHz Power Bandwidth 120 kHz 120 kHz 120 kHz 120 kHz Small Signal Bandwidth (-6 dB) 1 MHz (-6 dB) 1 MHz (-6 dB) 1 MHz (-6 dB) 1 MHz Stopband Attenuation Rate 48 dB/octave 80 dB 80 dB 100 dB Cutoff Frequency Stability Amplitude Phase fc ± 0.01% /°c -3 dB -360° Filter Attenuation 80 dB 60.0 dB 3.01 dB 0.00 dB Product Specifications (theoretical) Voltage Gain (non-inverting) (theoretical) ± 2% max. 0.31 fc 0.42 fc 1.00 fc 2.00 fc Phase Match1 fc - 100 kHz ± 3° max. ± 1.5° typ. Amplitude Accuracy fc-1.25 fc (theoretical) fr ± 0.01% /°c -0.035 dB -323.5° ± 2% max. 80 dB 60.0 dB 3.01 dB 0.03 dB 0.00 dB 0.56 fr 0.60 fr 0.88 fr 1.00 fr 2.00 fr fr - 1.25 fr ± 4° max. ± 2° typ. 1.25 fr-100 kHz ± 2° max. ± 1° typ. ± 0.3 dB max. fr-1.25 fr ± 0.15 dB typ. 1.25 fc-100kHz ± 0.2 dB max. 1.25 fr-100 kHz ± 0.1 dB typ. fr ± 0.01% /°c -0.05 dB -414° ± 2% max. 80 dB 60.0 dB 3.01 dB 0.03 dB 0.00 dB 0.64 fr 0.69 fr 0.95 fr 1.00 fr 2.00 fr fr - 1.25 fr ± 4° max. ± 2° typ. 1.25 fr-100 kHz ± 2° max. ± 1° typ. fr ± 0.01% /°c -0.05 dB -419° ± 2% max. 100 dB 80.0 dB 3.01 dB 0.03 dB 0.00 dB 0.50 fr 0.55 fr 0.94 fr 1.00 fr 2.00 fr fr - 1.25 fr ± 4° max. ± 2° typ. 1.25 fr-100 kHz ± 3° max. ± 1.5° typ. ± 0.3 dB max. fr-1.25 fr ± 0.15 dB typ. ± 0.2 dB max. 1.25 fr-100 kHz ± 0.1 dB typ. ± 0.5 dB max. fr-1.25 fr ± 0.25 dB typ. ± 0.2 dB max. 1.25 fr-100 kHz ± 0.1 dB typ. Total Harmonic Distortion @ 1 kHz < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. < - 88 dB typ. Wide Band Noise 400 µVrms typ. 400 µVrms typ. 500 µVrms typ. 500 µVrms typ. 100 µVrms typ. 100 µVrms typ. 150 µVrms typ. 150 µVrms typ. FMA-02A FMA-02A FMA-02A FMA-02A ± 0.5 dB max. ± 0.25 dB typ. ± 0.2 dB max. ± 0.1 dB typ. (5 Hz - 2 MHz) Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly 1. Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot. 5 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 428 Series Pin-Out and Package Data Ordering Information Specification (25°C and Vs ± 15 Vdc) (Side View) 428 0.00 0.15 min. 0.025 Dia. All dimensions are in inches All case dimensions ±0.02" 11 Ω typ. 10 Ω max. ±10V ±2 mA 22 mV typ. 20 mV max. 50 µV/°C Bottom View 0.80 0.70 Gnd Os4 -Vs +Vs Out D0 D1 0.50 +5V In D2 D3 1.80 1.50 1.60 1.30 0.10 0.00 0.80 0.90 1.00 1.10 Offset Temp. Coeff. Power Supply (±V) Rated Voltage Operating Range Maximum Safe Voltage Quiescent Current 10 k Ω min. ± 10 Vpeak ±Vs 0.30 Linear Operating Range 2 Maximum Current 3 Offset Voltage Pin-Out & Package Data 0.50 0.00 Analog Input Characteristics1 Impedance Voltage Range Max. Safe Voltage Analog Output Characteristics Impedance (Closed Loop) Filter Mounting Assembly-See FMA-02A ±15 Vdc ±12 to ±18 Vdc ±18 Vdc ±25 mA typ. ±40 mA max. Temperature Operating Storage Ordering Information Filter Type L - Low Pass H - High Pass -20 to +70°C -25 to +85°C 428 L4E-7 428 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) Model Number Notes: Binary Tuning Ranges 1. Input and output signal voltage referenced to supply common. 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 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 + Vs *Contact factory for custom step frequency. Maximum step 6.40 kHz. Discrete Frequency’s Do not connect if trim is not required. 20 k Ω (Cermet) Customer must specify f1 ,f2 ,f3, f4,f5. Maximum span f1 ⇒ f5 1,000:1. Contact factory for custom frequency’s 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: [email protected] • Web Address: http://www.freqdev.com 8-Pole Bessel Appendix A Low-Pass Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .506 0.10 -0.029 -18.2 .506 0.20 -0.117 -36.4 .506 0.30 -0.264 -54.7 .506 0.40 -0.470 -72.9 .506 0.50 -0.737 -91.1 .506 0.60 -1.06 -109 .506 0.70 -1.45 -128 .506 0.80 -1.91 -146 .506 0.85 -2.16 -155 .506 0.90 -2.42 -164 .506 0.95 -2.71 -173 .506 1.00 -3.01 -182 .506 -3.67 1.10 -200 .506 -4.40 1.20 -219 .506 -5.20 1.30 -237 .506 1.40 -6.10 -255 .505 1.50 -7.08 -273 .504 1.60 -8.16 -291 .502 1.70 -9.36 -309 .498 1.80 -10.7 -327 .492 1.90 -12.1 -345 .482 2.00 -13.7 -362 .468 2.25 -18.1 -402 .417 2.50 -23.1 -436 .352 2.75 -28.3 -465 .291 3.00 -33.4 -489 .241 3.25 -38.3 -509 .201 3.50 -43.1 -526 .170 4.00 -51.8 -552 .126 5.00 -66.8 -587 .077 6.00 -79.2 -610 .052 7.00 -89.8 -626 .038 8.00 -99.0 -638 .029 9.00 -107 -647 .023 10.0 -114 -655 .018 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 1.0 0.5 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -20 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) Normalized Delay Actual Corner Frequency (fc) in Hz 4 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel:800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 Low-Pass 8-Pole Appendix A Butterworth Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .816 0.10 0.00 -29.4 .819 0.20 0.00 -59.0 .828 0.30 0.00 -89.1 .843 0.40 0.00 -120 .867 0.50 0.00 -152 .903 0.60 -0.001 -185 .956 0.70 -0.014 -221 1.04 0.80 -0.121 -261 1.19 0.85 -0.311 -283 1.29 0.90 -0.738 -307 1.40 0.95 -1.58 -333 1.48 1.00 -3.01 -360 1.46 1.10 -7.48 -408 1.17 1.20 -12.9 -445 .873 1.30 -18.2 -472 .672 1.40 -494 .540 -23.4 1.50 -511 .448 -28.2 1.60 -526 .380 -32.7 1.70 -539 .328 -36.9 1.80 -550 .287 -40.8 1.90 -44.6 -560 .253 2.00 -48.2 -568 .226 2.25 -56.3 -586 .174 2.50 -63.7 -600 .139 2.75 -70.3 -611 .113 3.00 -76.3 -621 .094 3.25 -81.9 -629 .080 3.50 -87.1 -635 .069 4.00 -96.3 -646 .052 5.00 -112 -661 .033 6.00 -125 -671 .023 7.00 -135 -678 .017 8.00 -144 -683 .013 9.00 -153 -687 .010 10.0 -160 -691 .008 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 67 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 2.0 1.0 0.0 0.1 0.15 2 3 4 5 6 7 8 9 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -20 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual Corner Frequency (fc) in Hz 9 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 8-Pole, 6-Zero Constant Delay Appendix A Low-Pass (60 dB) Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .776 0.005 -28.0 0.10 .776 0.012 -55.9 0.20 .776 0.005 -83.9 0.30 .776 -0.042 -112 0.40 .776 -0.161 -140 .776 0.50 -0.384 -168 .776 0.60 -0.745 -196 .776 0.70 -1.28 -224 .776 0.80 -1.62 -238 .776 0.85 -252 -2.02 .776 0.90 -265 -2.48 .775 0.95 -279 -3.01 .773 1.00 -307 -4.29 .766 1.10 -334 -5.91 .749 1.20 -10.3 -386 .675 1.40 -15.9 -431 .558 1.60 -22.4 -467 .443 1.80 -29.4 -495 .351 2.00 -39.0 -523 .268 2.25 2.50 -50.5 -544 .212 2.75 -78.0 -561 .171 3.00 -63.7 -395 .142 3.25 -63.5 -407 .119 3.50 -66.9 -417 .102 3.75 -425 .088 -74.7 4.00 -253 .077 -85.0 4.25 -259 .068 -72.0 4.50 -265 .060 -67.9 4.75 -270 .054 -65.8 5.00 -64.6 -275 .048 5.25 -63.9 -279 .044 5.50 -63.5 -283 .040 5.75 -63.3 -286 .036 6.00 -63.2 -289 .033 6.50 -63.3 -295 .028 7.00 -63.7 -299 .024 8.00 -64.7 -307 .019 9.00 -66.0 -313 .015 10.0 -67.3 -318 .012 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 1.0 0.5 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -20 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) Normalized Delay Actual Corner Frequency (fc) in Hz 20 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 8-Pole, 6-Zero Constant Delay Appendix A Low-Pass (80 dB) Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 .852 0.00 0.017 -30.7 .852 0.10 0.058 -61.3 .852 0.20 0.099 -92.0 .852 0.30 0.105 -123 .852 0.40 0.034 -153 .852 0.50 -0.157 -184 .852 0.60 -0.510 -215 .852 0.70 -1.07 -245 .851 0.80 -1.44 -261 .850 0.85 -1.89 -276 .849 0.90 -2.41 -291 .846 0.95 -3.01 -306 .841 1.00 -4.50 -336 .821 1.10 -6.39 -365 .783 1.20 -11.3 -417 .656 1.40 -17.1 -459 .512 1.60 -23.2 -492 .396 1.80 -29.1 -517 .312 2.00 -36.3 -542 .239 2.25 2.50 -43.4 -561 .189 2.75 -50.3 -576 .153 3.00 -57.6 -589 .127 3.25 -62.5 -599 .107 3.50 -75.4 -608 .092 3.75 -98.3 -616 .079 4.00 -86.3 -442 .069 4.25 -84.1 -448 .061 4.50 -85.1 -454 .054 4.75 -87.9 -458 .049 5.00 -92.8 -462 .044 5.25 -104 -466 .040 5.50 -101 -289 .036 5.75 -93.3 -293 .033 6.00 -89.9 -295 .030 -86.6 -300 .026 6.50 -85.1 -305 .022 7.00 -84.1 -312 .017 8.00 -84.3 -317 .013 9.00 -84.9 -321 .011 10.0 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 1.0 0.5 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -20 Normalized Delay 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) Actual Corner Frequency (fc) in Hz 21 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 8-Pole, 6-Zero Constant Delay Appendix A Low-Pass (100 dB) Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .865 0.10 0.015 -31.1 .865 .865 0.20 0.051 -62.3 .865 0.30 0.085 -93.4 .865 0.40 0.085 -125 0.50 0.010 -156 .865 0.60 -0.182 -187 .865 0.70 -0.532 -218 .865 0.80 -1.09 -249 .864 0.85 -1.45 -265 .863 0.90 -1.89 -280 .861 0.95 -2.41 -296 .857 1.00 -3.01 -311 .851 1.10 -4.50 -341 .828 1.20 -6.38 -370 .785 1.40 -11.2 -422 .650 1.60 -16.8 -464 .504 1.80 -22.5 -496 .389 2.00 -28.0 -520 .306 2.25 -34.5 -544 .235 2.50 -40.5 -563 .186 2.75 -46.1 -578 .151 3.00 -51.4 -591 .125 3.50 -61.5 -610 .090 4.00 -71.2 -624 .068 4.50 -81.3 -635 .054 5.00 -93.4 -643 .043 5.50 -142 -651 .036 6.00 -105 -476 .030 6.20 -105 -478 .028 6.50 -106 -481 .025 7.00 -110 -486 .022 8.00 -122 -312 .017 9.00 -109 -318 .013 10.0 -106 -322 .011 12.0 -105 -328 .007 14.0 -106 -333 .005 16.0 -107 -336 .004 18.0 -108 -339 .003 20.0 -109 -341 .003 Frequency Response 0 Amp (dB) -20 -60 -80 -100 -120 0.1 2 3 4 5 678 2 3 4 5 67 1.0 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 1.0 0.5 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -40 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) Normalized Delay Actual Corner Frequency (fc) in Hz 22 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 8-Pole, 6-Zero Elliptic, 1.56 Appendix A Low-Pass Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 0.823 0.10 -0.001 -29.7 0.829 0.20 -0.013 -59.8 0.844 0.30 -0.040 -90.5 0.865 0.40 -0.049 -122 0.904 -0.018 -156 0.972 0.50 -0.003 -174 1.016 0.55 -0.002 -192 1.064 0.60 -0.019 -212 1.116 0.65 -0.042 -233 1.178 0.70 -255 0.75 -0.049 1.264 -279 0.80 -0.026 1.388 -305 0.85 -0.001 1.557 -335 0.90 -0.024 1.767 -369 0.95 -0.045 2.111 1.00 -0.050 -414 3.062 1.10 -10.48 -531 2.043 1.20 -25.96 -576 0.814 1.30 -39.45 -598 0.493 1.40 -52.87 -614 0.348 -69.11 -624 0.265 1.50 -89.09 -453 0.211 1.60 -85.32 -459 0.174 1.70 -89.95 -463 0.156 1.75 -103.5 -465 0.147 1.80 1.85 -95.94 -288 0.158 1.90 -89.31 -290 0.126 1.95 -86.44 -292 0.117 2.00 -84.96 -295 0.110 2.20 -84.54 -302 0.087 2.40 -88.65 -307 0.069 2.60 -99.78 -311 0.057 2.80 -99.97 -135 0.048 3.00 -90.20 -139 0.041 3.50 -85.09 -145 0.029 4.00 -84.04 -150 0.022 5.00 -84.76 -156 0.014 6.00 -86.45 -160 0.009 7.00 -88.31 -163 0.007 8.00 -90.11 -165 0.005 9.00 -91.82 -167 0.004 10.0 -93.41 -168 0.003 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 2 3 4 5 67 1.0 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 4.0 2.0 0.8 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -20 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual Corner Frequency (fc) in Hz 23 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 8-Pole, 6-Zero Elliptic, 1.77 Appendix A Low-Pass Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 0.713 0.10 -0.004 -25.7 0.716 0.20 -0.014 -51.6 0.724 0.30 -0.024 -77.9 0.740 0.40 -0.020 -105 0.767 0.50 0.007 -133 0.811 0.55 0.022 -148 0.840 0.60 0.033 -163 0.872 0.65 0.031 -179 0.908 0.70 0.014 -196 0.946 0.75 -0.015 -213 0.989 0.80 -0.041 -232 1.04 0.85 -0.046 -251 1.12 0.90 -0.016 -272 1.23 0.95 -0.025 -296 1.40 1.00 -0.035 -323 1.65 1.10 -1.76 -392 2.14 1.20 -8.28 -467 1.86 1.30 -18.4 -522 1.19 1.40 -29.3 -558 0.753 1.50 -40.1 -578 0.517 1.60 -51.5 -594 0.381 1.70 -65.2 -606 0.296 1.75 -75.0 -611 0.265 1.80 -113.0 -616 0.239 1.85 -83.6 -440 0.217 1.90 -82.0 -444 0.198 1.95 -83.7 -447 0.182 2.00 -87.8 -450 0.168 2.20 -85.8 -280 0.126 2.40 -82.0 -289 0.099 2.60 -83.5 -295 0.081 2.80 -88.2 -301 0.067 3.00 -99.9 -305 0.057 3.50 -87.2 -134 0.040 4.00 -83.1 -140 0.030 5.00 -82.1 -148 0.018 6.00 -83.1 -154 0.013 7.00 -84.6 -157 0.009 8.00 -86.2 -160 0.007 9.00 -87.8 -163 0.005 10.0 -89.3 -164 0.004 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 4.0 2.0 0.8 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -20 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual Corner Frequency (fc) in Hz 24 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 8-Pole, 6-Zero Elliptic, 2.00 Appendix A Low-Pass Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 0.885 0.10 -0.001 -31.9 0.891 0.20 -0.015 -64.2 0.903 0.30 -0.040 -97.0 0.922 0.40 -0.042 -131 0.958 0.50 -0.001 -166 1.020 0.55 0.000 -185 1.057 0.60 -0.007 -204 1.099 0.65 -0.027 -225 1.140 0.70 -0.045 -245 1.193 0.75 -0.040 -268 1.269 0.80 -0.014 -291 1.377 0.85 -0.001 -317 1.513 0.90 -0.031 -346 1.677 0.95 -0.036 -378 1.960 1.00 -0.046 -419 2.681 1.10 -7.910 -525 2.127 1.20 -21.06 -573 0.856 1.30 -31.96 -597 0.509 1.40 -41.51 -612 0.357 1.50 -50.35 -623 0.271 1.60 -58.90 -632 0.216 1.70 -67.54 -639 0.177 1.75 -72.04 -642 0.162 1.80 -76.79 -645 0.149 1.85 -81.93 -647 0.138 1.90 -87.78 -650 0.128 1.95 -95.04 -652 0.119 2.00 -106.6 -654 0.111 2.20 -106.0 -481 0.087 2.40 -121.3 -307 0.070 2.60 -106.5 -311 0.058 2.80 -105.0 -315 0.049 3.00 -106.4 -318 0.042 3.50 -123.6 -325 0.030 4.00 -111.5 -149 0.022 5.00 -105.4 -156 0.014 6.00 -105.1 -160 0.010 7.00 -106.0 -163 0.007 8.00 -107.3 -165 0.005 9.00 -108.6 -167 0.004 10.0 -110.0 -168 0.003 Frequency Response 0 Amp (dB) -20 -60 -80 -100 -120 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 4.0 2.0 0.8 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -40 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual Corner Frequency (fc) in Hz 25 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 High-Pass 8-Pole Appendix A Butterworth Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -160 691 0.819 0.20 -112 661 0.828 0.30 -83.7 631 0.843 0.40 -63.7 600 0.867 0.50 -48.2 568 0.903 0.60 -35.5 535 .956 499 0.70 -24.8 1.04 459 0.80 -15.6 1.19 437 0.85 -11.6 1.29 413 0.90 -8.06 1.40 0.95 -5.15 386 1.48 360 1.00 -3.01 1.46 275 1.20 -0.229 0.873 226 1.40 -0.020 0.540 -0.002 194 1.60 0.380 170 1.80 0.00 0.287 152 0.00 2.00 0.226 120 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 Frequency Response Amp (dB) 0 -20 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = Normalized Delay Actual Corner Frequency (fc) in Hz 29 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 8-Pole, 6-Zero Elliptic, 1.56 Appendix A High-Pass Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -93.4 168 0.334 -84.8 0.20 156 0.344 143 -86.0 0.30 0.363 0.392 310 -92.6 0.40 0.439 295 -85.0 0.50 -114 287 0.472 0.55 -84.1 458 0.515 0.60 -57.0 617 0.652 0.70 -32.8 589 0.962 0.80 -22.6 569 1.325 0.85 0.90 -12.3 538 2.198 3.993 0.95 -3.08 483 3.062 1.00 -0.05 414 1.498 1.10 -0.03 341 -0.01 1.039 1.20 296 264 1.30 -0.04 0.773 239 1.40 -0.05 0.612 1.50 219 -0.03 0.505 1.60 -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 Frequency Response Amp (dB) 0 -20 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = Normalized Delay Actual Corner Frequency (fc) in Hz 36 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 8-Pole, 6-Zero Elliptic, 1.77 Appendix A High-Pass Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -89.3 164 0.440 0.20 -82.1 148 0.459 0.30 -90.6 131 0.495 292 0.40 -82.4 0.559 -87.8 450 0.50 0.671 0.55 -90.0 0.761 437 -60.2 0.60 0.890 603 -32.4 0.70 1.37 563 -13.1 0.80 2.35 498 -6.28 0.85 2.77 451 0.90 -2.21 401 2.66 358 0.95 -0.51 2.15 324 1.00 -0.03 1.64 277 1.10 -0.01 1.04 225 1.20 -0.05 0.757 1.30 -0.03 221 0.596 1.40 0.01 201 0.486 1.50 0.03 185 0.409 1.60 0.03 172 0.347 1.70 0.03 160 0.299 1.80 0.02 150 0.260 1.90 0.01 141 0.229 2.00 0.01 133 0.203 2.50 -0.02 105 0.123 3.00 -0.02 86.9 0.083 4.00 -0.02 64.7 0.046 5.00 -0.01 51.6 0.029 6.00 -0.01 42.9 0.020 -0.01 0.015 7.00 36.8 -0.01 0.011 8.00 32.1 9.00 -0.01 28.6 0.009 10.0 0.00 25.7 0.007 Frequency Response Amp (dB) 0 -20 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 67 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 37 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 8-Pole, 6-Zero Elliptic, 2.00 Appendix A High-Pass Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -110 168 0.338 -105 0.20 156 0.348 -114 0.30 323 0.367 309 -110 0.40 0.397 654 -107 0.50 0.445 0.55 -78.6 646 0.480 0.60 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 Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 -120 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = Normalized Delay Actual Corner Frequency (fc) in Hz 38 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178