D68 & DP68 Series 1.0 Hz to 100 kHz Fixed Frequency 32 Pin DIP 8-Pole Filters Description The D68 and DP68 Series of small 8-pole fixedfrequency, precision active filters provide high performance linear active filtering in a compact 32pin DIP package, with a broad range of corner frequencies and a choice of transfer functions. Individual D68 filters can serve in low-pass or highpass applications (DP68, low-pass only) or be combined to create custom band-pass or bandreject filters. These fully self-contained units require no external components or adjustments. Each model comes factory tuned to a user-specified corner frequency between 1 Hz and 100 kHz (DP68, 1 Hz to 5 kHz) and operate with low total harmonic distortion over a wide dynamic input voltage range from non-critical +/-5V 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 minimizes board space requirements. • 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 • Sound and vibration testing • Acoustic and vibration analysis and control • Noise elimination • Signal reconstruction Available Low-Pass Models: . . . . . . . . . . .Page D68L8B & DP68L8B 8-pole Butterworth . . . . . . . . . . . . . . . . .2 D68L8E & DP68L8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . .2 D68L8EX & DP68L8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . .2 D68L8EY & DP68L8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . .2 D68L8L & DP68L8L 8-pole Bessel. . . . . . . . . . . . . . . . . . . . .3 D68L8D60 & DP68L8D60 8-pole constant delay (-60 dB) . . . . . . . .3 D68L8D & DP68L8D 8-pole constant delay (-80 dB) . . . . . . . .3 D68L8D10 & DP68L8D10 8-pole constant delay (-100 dB) . . . . . . .3 Available High-Pass Models: . . . . . . . . . . . . . . . . D68H8B 8-pole Butterworth . . . . . . . . . . . . . . . . .4 D68H8E 8-pole, 6 zero elliptic, 1.77 (-80dB) . . . .4 D68H8EX 8-pole, 6 zero elliptic, 1.56 (-80dB) . . . .4 D68H8EY 8-pole, 6 zero elliptic, 2.00 (-100dB) . . . .4 General Specifications: ................ Pin-out/package data & ordering information . . . . . .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 D68 & DP68 Series 8-Pole Low-Pass Filters Fixed Frequency Model D68L8B & DP68L8B D68L8E & DP68L8E D68L8EX & DP68L8EX D68L8EY & DP68L8EY Transfer Function 8-Pole, Butterworth 8-Pole, 6 zero, Elliptic 8-Pole, 6 zero, Elliptic 8-Pole, 6 zero, Elliptic Size 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” Range fc, fr D68 DP68 1 Hz to 100 kHz 1 Hz to 5 kHz 1 Hz to 100 kHz 1 Hz to 5 kHz 1 Hz to 100 kHz 1 Hz to 5 kHz 1 Hz to 100 kHz 1 Hz to 5 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 ± 1% max. 0 - 0.8 fc 0.8 fc - 1.0 fc Amplitude Accuracy (theoretical) Wide Band Noise (5 Hz - 2 MHz) Narrow Band Noise (20 Hz - 100 kHz) Filter Mounting Assembly ± 1% max. fr ± 0.01% /°C -0.05 dB -414° ± 1% max. fr ± 0.01% /°C -0.05 dB -419° 0.80 fc 1.00 fc 2.37 fc 3.16 fc 0.035 dB 3.01 dB 60.0 dB 80.0 dB 1.00 fr 1.13 fr 1.67 fr 1.77 fr 0.05 dB 3.01 dB 60.0 dB 80.0 dB 1.00 fr 1.05 fr 1.45 fr 1.56 fr 0.05 dB 3.01 dB 80.0 dB 100.0 dB ± 2° max. ± 1° typ. ± 3° max. ± 1.5° typ. 0 - 0.8 fr ± 2° max. ± 1° typ. ± 4° max. ± 2° typ. 0 - 0.8 fr ± 3° max. ± 1.5° typ. ± 4° max. ± 2° typ. 0 - 0.8 fr 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. Total Harmonic Distortion @ 1 kHz D68 DP68 fr ± 0.01% /°C -0.035 dB -323.5° 0.8 fr - 1.0 fr 0 - 0.8 fr ± 0.2 dB max. ± 0.1 dB typ. 0.8 fr - 1.0 fr ± 0.3 dB max. ±0 .15 dB typ. <-100 dB typ. <-80 dB typ. 0.8 fr - 1.0 fr 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. <-80 dB typ. ± 2% max. 1.00 fr 1.06 fr 1.83 fr 2.00 fr ± 3° max. ± 1.5° typ. ± 4° max. ± 2° typ. 0.8 fr - 1.0 fr 0 - 0.8 fr 0.8 fr - 1.0 fr <-88 dB typ. <-80 dB typ. ± 0.2 dB max. ± 0.1 dB typ. ± 0.5 dB max. ± 0.25 dB typ. <-88 dB typ. <-80 dB typ. 200 mVrms typ. 200 mVrms typ. 250 mVrms typ. 250 mVrms typ. 50 mVrms typ. 50 mVrms typ. 75 mVrms typ. 75 mVrms typ. FMA-01A FMA-01A FMA-01A FMA-01A 1. Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot. 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 D68 & DP68 Series 8-Pole Low-Pass Filters Fixed Frequency Model D68L8L & DP68L8L D68L8D60 & DP68L8D60 D68L8D & DP68L8D D68L8D10 & DP68L8D10 Transfer Function 8-Pole, Bessel 8-Pole, 6 zero, Constant Delay 8-Pole, 6 zero, Constant Delay 8-Pole, 6 zero, Constant Delay Size 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” Range fc D68 DP68 1 Hz to 100 kHz 1 Hz to 5 kHz 1 Hz to 100 kHz 1 Hz to 5 kHz 1 Hz to 100 kHz 1 Hz to 5 kHz 1 Hz to 100 kHz 1 Hz to 5 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 -3dB -182° Filter Attenuation 1.91 dB 3.01 dB 60.0 dB 80.0 dB Product Specifications (theoretical) DC Voltage Gain (non-inverting) (theoretical) Phase Match1 0 - fc Amplitude Accuracy 0 - fc (theoretical) Total Harmonic Distortion @ 1 kHz D68 DP68 Wide Band Noise (5 Hz - 2 MHz) Narrow Band Noise (20 Hz - 100 kHz) Filter Mounting Assembly ± 1% max. 0.80 fc 1.00 fc 4.52 fc 6.07 fc ± 2° max. ± 1° typ. ± 0.2 dB max. ± 0.1 dB typ. fc ± 0.01% /°C -3dB -306° ± 1% max. 3.01 dB 40.0 dB 60.0 dB 1.00 fc 2.28 fc 2.64 fc 0 - fc ± 2° max. ± 1° 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. <-100 dB typ. <-80 dB typ. fc ± 0.01% /°C -3dB -306° ± 1% max. 3.01 dB 60.0 dB 80.0 dB 1.00 fc 3.08 fc 3.57 fc 0 - fc ± 2° max. ± 1° 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. <-100 dB typ. <-80 dB typ. fc ± 0.01% /°C -3dB -311° ± 2% max. 3.01 dB 80.0 dB 100.0 dB 1.00 fc 4.45 fc 5.20 fc 0 - fc ± 2° max. ± 1° typ. 0 - 0.8 fc ± 0.2 dB max. ± 0.1 dB typ. ± 0.3 dB max. ± 0.15 dB typ. 0.8 fc - 1.0 fc <-100 dB typ. <-80 dB typ. <-100 dB typ. <-80 dB typ. 200 mVrms typ. 200 mVrms typ. 200 mVrms typ. 200 mVrms typ. 50 mVrms typ. 50 mVrms typ. 50 mVrms typ. 50 mVrms typ. FMA-01A FMA-01A FMA-01A FMA-01A 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 D68 & DP68 Series 8-Pole High-Pass Filters Fixed Frequency Model D68H8B D68H8E D68H8EX D68H8EY Transfer Function 8-Pole, Butterworth 8-Pole, 6 Zero, Elliptic 8-Pole, 6 Zero, Elliptic 8-Pole, 6 zero, Elliptic Size 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” 1.8” x 0.8” x 0.3” Range fc, fr D68 DP68 1 Hz to 100 kHz Not Available 1 Hz to 100 kHz Not Available 1 Hz to 100 kHz Not Available 1 Hz to 100 kHZ Not Available 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 Stopband Attenuation Rate 48 dB/octave 80 dB 80 dB 100 dB Power Bandwidth 120 kHz 120 kHz 120 kHz 120 kHz Small Signal Bandwidth (-6dB) 1 MHz (-6dB) 1 MHz (-6dB) 1 MHz (-6dB) 1 MHz Cutoff Frequency Stability Amplitude Phase fc ± 0.01% /°C -3 dB -360° Filter Attenuation 80.0 dB 60.0 dB 3.01 dB 0.00 dB Product Specifications (theoretical) Voltage Gain (non-inverting) (theoretical) Phase Match1 fc - 100 kHz ± 1% max. 0.31 fc 0.42 fc 1.00 fc 2.00 fc ± 3° max. ± 1.5° typ. fr ± 0.01% /°C -0.035 dB` -323.5° ± 1% max. 80.0 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 0 - 1.25 fr ± 4° max. ± 2° typ. ± 2° max. ± 1° typ. 1.25 fr-100 kHz Amplitude Accuracy fr ± 0.01% /°C -0.05 dB -414° ± 1% max. 80.0 dB 60.0 dB 3.01 dB 0.05 dB 0.00 dB 0 - 1.25 fr 1.25 fr-100 kHz 0.64 fr 0.69 fr 0.95 fr 1.00 fr 2.00 fr ± 4° max. ± 2° typ. ± 2° max. ± 1° typ. fr ± 0.01% /°C -0.05 dB -419° 100.0 dB 80.0 dB 3.01 dB 0.03 dB 0.00 dB ± 2% max. 0.50 fr 0.55 fr 0.94 fr 1.00 fr 2.00 fr 0 - 1.25 fr ± 4° max. ± 2° typ. 1.25 fr-100 kHz ± 3° max. ± 1.5° typ. 1.0 - 1.25 fc ± 0.3 dB max. ± 0.15 dB typ. 1.25 fc-100 kHz± 0.2 dB max. ± 0.1 dB typ. 1.00 - 1.25 fr ± 0.3 dB max. ± 0.15 dB typ. 1.25 fr-100 kHz ± 0.2 dB max. ±0 .1 dB typ. 1.00 - 1.25 fr ± 0.5 dB max. ± 0.25 dB typ. 1.25 fr-100 kHz± 0.2 dB max. ±0 .1 dB typ. 1.00 - 1.25 fr ± 0.5 dB max ± 0.25 dB typ 1.25 fr-100 kHz ± 0.2 dB max. ±0 .1 dB typ. Total Harmonic Distortion @ 1 kHz D68 <-88 dB typ. <-88 dB typ. <-88 dB typ. <-88 dB typ. Wide Band Noise 400 mVrms 400 mVrms typ. 500 mVrms typ. 500 mVrms typ. 100 mVrms typ. 100 mVrms typ. 150 mVrms typ. 150 mVrms typ. FMA-01A FMA-01A FMA-01A FMA-01A (theoretical) (5 Hz - 2 MHz) Narrow Band Noise (20 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 D68 & DP68 Series Pin-Out and Package Data Ordering Information Specification (25°C and Vs ± 15 Vdc) 1 Analog Input Characteristics Impedance 10 kW min. Voltage Range ± 10 Vpeak Max. Safe Voltage ± Vs 0.80 Side View Analog Output Characteristics Impedance(Closed Loop) 1 W typ. 10 W max. Linear Operating Range ± 10 V 2 Maximum Current ± 2 mA 3 Offset Voltage 2 mV typ. 20 mV max. Offset Temp. Coeff. 50 mV / °C 1.80 Front View 0.15 (min) 0.80 0.70 OUT GND IN 1.55 1.65 0.45 0.55 0.00 0.15 0.10 0.00 ± 15 Vdc ± 5 to ± 18 Vdc ± 18 Vdc Filter Mounting Assembly-See FMA-01A Ordering Information Quiescent Current DP68 ± 7 mA typ. ± 10 mA max. - Filter Type Transfer Function L - Low Pass H - High Pass B - Butterworth L - Bessel D - constant delay (-80 dB) D60 - constant delay (-60 dB) D10 - constant delay (-100 dB) E - elliptic 1.77 (-80 dB) EX - elliptic 1.56 (-80 dB) EY - elliptic 2.00 (-100 dB) 0 to + 70 °C - 25 to + 85 °C DC Offset Adjustment D68L8B-849 Hz ± Vs Do not connect if trim is not required. 20 k W (Cermet) -VS OS4 +VS Bottom View ± 25 mA typ. ± 40 mA max. Temperature Operating Storage 0.30 1.80 Power Supply (±V) Rated Voltage Operating Range Maximum Safe Voltage Quiescent Current D68 All dimensions are in inches All case dimensions ± 0.01" 0.025 dia. OS Power Level D – Standard Power DP – Low Power Notes: 5 - 3 dB Corner Frequency e.g., 849 Hz 2.50 kHz 33.3 kHz 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. - Vs 4. Units operate with or with out offset pin connected. 5. How to Specify Corner Frequency: Corner frequencies are specified by attaching a three digit frequency designator to the basic model number. Corner frequencies can range from 1.00 Hz to 100 kHz. 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-00D68-02 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 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