D70 Series DIP Filters 8-, 6-, 4-Pole Filters 100 Hz to 50 kHz Fixed Frequency Description The D70 Series of small, fixed-frequency, linear active DIP filters provide high performance linear, multi-pole filtering in a compact package, with a broad range of pole configurations. These Butterworth and Bessel low-pass and Butterworth high-pass filters combine the excellent performance of linear multi-pole filter design with the space saving of the dual in-line package (DIP). Each model comes factory tuned to a user-specified corner frequency between 100Hz and 50kHz. These fully self-contained units require no external components or adjustments. They operate with dynamic input voltage range from non-critical ±5V to ±18V power supplies. Features/Benefits: • Compact DIP design minimizes board space requirements • Plug-in ready-to-use, reducing engineering design and manufacturing time • Factory tuned, no external clocks or adjustments needed • Low harmonic distortion and wide signal-to-noise ratio to 14 bit resolution • Broad range of pole configurations and corner frequencies to meet a wide range of applications Applications • Anti-alias filtering • Data acquisition systems • Communication systems and electronics • Medical electronics equipment and research • Aerospace, navigation and sonar applications • Sound and vibration testing • Real and compressed time data analysis • Noise elimination • Signal reconstruction Available Low-Pass Models: . . . . . . . . . . .Page D70L8B D70L6B D70L4B D70L8L D70L6L D70L4L 8-pole 6-pole 4-pole 8-pole 6-pole 4-pole Butterworth Butterworth Butterworth Bessel . . . . Bessel . . . . Bessel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .2 .2 .2 .3 .3 .3 Available High-Pass Models: D70H8B D70H6B D70H4B 8-pole Butterworth . . . . . . . . . . . . . . .4 6-pole Butterworth . . . . . . . . . . . . . . .4 4-pole Butterworth . . . . . . . . . . . . . . .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 D70 Series 8-, 6-, 4-Pole Low-Pass Filters Fixed Frequency Model D70L8B D70L6B D70L4B Transfer Function 8-Pole, Butterworth 6-Pole, Butterworth 4-Pole, Butterworth, Size 0.84” x 0.65” x 0.31” 0.84” x 0.65” x 0.31” 0.65” x 0.51” x 0.31” Range fc 100 Hz to 50 kHz 100 Hz to 50 kHz 100 Hz to 50 kHz Theoretical Transfer Characteristics Appendix A Page 9 Appendix A Page 8 Appendix A Page 7 Passband Ripple 0.0 dB 0.0 dB 0.0 dB 0 ± 0.02 dB typ. 0 ± 0.02 dB typ. 0 ± 0.02 dB typ. Stopband Attenuation Rate 48 dB/octave 36 dB/octave 24 dB/octave Cutoff Frequency Stability Amplitude Phase fc ± 0.02% /°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) ± 2% max. 0.80 fc 1.00 fc 2.37 fc 3.16 fc fc ± 0.02% /°C -3 dB -270° ± 2% max. 0.29 dB 3.01 dB 60.0 dB 80.0 dB 0.80 fc 1.00 fc 3.16 fc 4.64 fc fc ± 0.02% /°C -3 dB -180° 0.67 dB 3.01 dB 60.0 dB 80.0 dB ± 2% max. 0.80 fc 1.00 fc 5.62 fc 10.0 fc Phase Match1 Amplitude Accuracy1 (theoretical) Total Harmonic Distortion @ 1 kHz < -90 dB < -90 dB < -90 dB Wide Band Noise 200 mVrms typ. 200 mVrms typ. 200 mVrms typ. 50 mVrms typ. 50 mVrms typ. 50 mVrms typ. FMA-01A FMA-01A FMA-01A (20 Hz - 4 MHz) Narrow Band Noise (5 Hz - 50 kHz) Filter Mounting Assembly 1. Phase Match and Amplitude Accuracy are within ±2% max., ±1% typ. of the theoretical transfer characteristics. 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 D70 Series 8-, 6-, 4-Pole Low-Pass Filters Fixed Frequency Model D70L8L D70L6L D70L4L Transfer Function 8-Pole, Bessel 6-Pole, Bessel 4-Pole, Bessel Size 0.84” x 0.65” x 0.31” 0.84” x 0.65” x 0.31” 0.65” x 0.51” x 0.31” Range fc 100 Hz to 50 kHz 100 Hz to 50 kHz 100 Hz to 50 kHz Theoretical Transfer Characteristics Appendix A Page 4 Appendix A Page 3 Appendix A Page 2 Passband Ripple 0.0 dB 0.0 dB 0.0 dB 0 ± 0.02 dB typ. 0 ± 0.02 dB typ. 0 ± 0.02 dB typ. Stopband Attenuation Rate 48 dB/octave 36 dB/octave 24 dB/octave Cutoff Frequency Stability Amplitude Phase fc ± 0.02% /°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 ± 0.02% /°C -3 dB -155° ± 2% max. 1.89 dB 3.01 dB 60.0 dB 80.0 dB 0.80 fc 1.00 fc 5.41 fc 7.99 fc fc ± 0.02% /°C -3 dB -121° 1.86 dB 3.01 dB 60.0 dB 80.0 dB ± 2% max. 0.80 fc 1.00 fc 8.48 fc 15.12 fc Phase Match1 Amplitude Accuracy1 (theoretical) Total Harmonic Distortion @ 1 kHz < -90 dB < -90 dB < -90 dB Wide Band Noise 200 mVrms typ. 200 mVrms typ. 200 mVrms typ. Narrow Band Noise 50 mVrms typ. 50 mVrms typ. 50 mVrms typ. Filter Mounting Assembly FMA-01A FMA-01A FMA-01A 1. Phase Match and Amplitude Accuracy are within ±2% max., ±1% typ. of the theoretical transfer characteristics. 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 D70 Series 8-, 6-, 4-Pole High-Pass Filters Fixed Frequency Model D70H8B D70H6B D70H4B Transfer Function 8-Pole, Butterworth 6-Pole, Butterworth 4-Pole, Butterworth Size 0.84” x 0.65” x 0.31” 0.84” x 0.65” x 0.31” 0.65” x 0.51” x 0.31” Range fc 100 Hz to 50 kHz 100 Hz to 50 kHz 100 Hz to 50 kHz Theoretical Transfer Characteristics Appendix A Page 29 Appendix A Page 28 Appendix A Page 27 Passband Ripple 0.0 dB 0.0 dB 0.0 dB 0 ± 0.02 dB typ. 0 ± 0.02 dB typ. 0 ± 0.02 dB typ. Power Bandwidth 120 kHz 120 kHz 120 kHz Small Signal Bandwidth (-6dB) 1 MHz (-6dB) 1 MHz (-6dB) 1 MHz Stopband Attenuation Rate 48 dB/octave 36 dB/octave 24 dB/octave Cutoff Frequency Stability Amplitude Phase fc ± 0.02% /°C -3 dB -360° Filter Attenuation 80 dB 60 dB 3.01 dB 00.0 dB Product Specifications (theoretical) Voltage Gain (non-inverting) (theoretical) ± 2% max. 0.31 fc 0.42 fc 1.00 fc 2.00 fc fc ± 0.02% /°C -3 dB -270° ± 2% max. 80 dB 60 dB 3.01 dB 00.0 dB 0.21 fc 0.32 fc 1.00 fc 2.50 fc fc ± 0.02% /°C -3 dB -180° 80 dB 60 dB 3.01 dB 00.0 dB ± 2% max. 0.10 fc 0.18 fc 1.00 fc 4.0 fc Phase Match1 Amplitude Accuracy1 (theoretical) Total Harmonic Distortion @ 1 kHz < -80 dB < -80 dB < -80 dB Wide Band Noise 400 mVrms typ. 400 mVrms typ. 400 mVrms typ. 100 mVrms typ. 100 mVrms typ. 100 mVrms typ. FMA-01A FMA-01A FMA-01A (20 Hz - 4 MHz) Narrow Band Noise (20 Hz - 100 kHz) Filter Mounting Assembly 1. Phase Match and Amplitude Accuracy are within ±2% max., ±1% typ. of the theoretical transfer characteristics. 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 D70 Series Pin-Out and Package Data Ordering Information Specification (25°C and Vs ± 15 Vdc) Analog Input Characteristics1 Impedance 10 kW min. Voltage Range ± 10 Vpeak Max. Safe Voltage ± Vs Analog Output Characteristics Impedance 1W Linear Operating Range ± 10 V Maximum Current2 ± 10 mA Offset Voltage3 ± 10 mV Offset Temp. Coeff. 50 mV /°C Power Supply (±Vs) Rated Voltage Operating Range Maximum Safe Voltage Quiescent Current (max.) 8 Pole 6 Pole 4 Pole Temperature Operating Storage ± 15 Vdc ± 5 to ± 18 Vdc ± 18 Vdc ± 18 mA ± 15 mA ± 10 mA 0 to + 70°C - 25 to + 85°C Notes: 1. Input and output signal voltage referenced to supply common. Recommend PC board hole 0.025” Filter Mounting Assembly-See FMA-01A 2. Output is short circuit protected to common. DO NOT CONNECT TO ±VS. 3. Adjustable to zero. Ordering Information Optional Offset Adjustment Filter Type Transfer Function L - Low Pass H - High Pass B - Butterworth L - Bessel D70L8B-849 Hz No. of Poles 8 6 4 4. 4 -3 dB Corner Frequency e.g., 849 Hz 2.50 kHz 33.3 kHz How to specify Corner Frequencies: Corner frequencies are specified by attaching a three digit frequency designator to the basic model number. Corner frequencies can range from 100 Hz to 50.0 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-00D70-01 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 Low-Pass 4-Pole Appendix A Bessel Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .336 0.10 -0.028 -12.1 .336 0.20 -0.111 -24.2 .336 0.30 -0.251 -36.3 .336 0.40 -0.448 -48.4 .336 0.50 -0.705 -60.6 .336 0.60 -1.02 -72.7 .336 0.70 -1.41 -84.8 .336 0.80 -1.86 -96.8 .335 0.85 -2.11 -103 .334 0.90 -2.40 -109 .333 0.95 -2.69 -115 .332 1.00 -3.01 -121 .330 1.10 -3.71 -133 .325 1.20 -4.51 -144 .318 1.30 -5.39 -156 .308 -166 1.40 -6.37 .295 -177 1.50 -7.42 .280 -187 1.60 -8.54 .263 -195 1.70 -9.71 .246 -204 1.80 -10.9 .228 1.90 -12.2 -212 .211 2.00 -13.4 -219 .194 2.25 -16.5 -235 .158 2.50 -19.5 -248 .129 2.75 -22.4 -259 .107 -267 3.00 -25.1 .089 -275 3.25 -27.6 .076 -281 3.50 -30.0 .065 -291 4.00 -34.4 .049 -305 5.00 -41.9 .031 6.00 -315 .021 -48.1 7.00 -321 .016 -53.4 8.00 -326 .012 -58.0 9.00 -330 .009 -62.0 10.0 -333 .008 -65.7 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 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 ∑Fax on Demand: 978/521-5178 5 Low-Pass 6-Pole Appendix A Bessel Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .430 0.10 -0.029 -15.5 .430 0.20 -0.116 -31.0 .430 0.30 -0.261 -46.5 .430 0.40 -0.465 -62.0 .430 0.50 -0.728 -77.4 .430 0.60 -1.05 -92.9 .430 0.70 -1.44 -108 .430 0.80 -1.89 -124 .430 0.85 -2.15 -132 .430 0.90 -2.42 -139 .430 0.95 -2.70 -147 .430 1.00 -3.01 -155 .430 1.10 -3.68 -170 .429 1.20 -4.44 -186 .428 1.30 -5.29 -201 .426 1.40 -6.23 -216 .422 1.50 -7.29 -232 .416 1.60 -8.46 -246 .401 1.70 -9.74 -261 .393 1.80 -11.1 -275 .376 1.90 -12.6 -287 .357 2.00 -14.2 -300 .335 2.25 -18.3 -328 .279 2.50 -22.6 -351 .228 2.75 -26.7 -369 187 3.00 -30.7 -385 .156 3.25 -34.5 -398 .131 3.50 -38.1 -408 .111 4.00 -44.7 -426 .083 5.00 -55.9 -449 .052 6.00 -65.2 -465 .036 7.00 -73.2 -476 .026 8.00 -80.1 -484 .020 9.00 -86.2 -490 .015 10.0 -91.6 -495 .013 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 56781.0 2 3 4 567 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 1.0 0.5 0.0 3 4 5 6 7 8 91.0 1.5 0.1 0.15 2 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 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 ∑Fax on Demand: 978/521-5178 5 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 4-Pole Appendix A Butterworth Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .416 0.10 0.00 -15.0 .418 0.20 0.00 -30.1 .423 0.30 -0.00 -45.5 .433 0.40 -0.003 -61.4 .449 0.50 -0.017 -78.0 .474 0.60 -0.072 -95.7 .511 0.70 -0.243 -115 .558 0.80 -0.674 -136 .604 0.85 -1.047 -147 .619 0.90 -1.555 -158 .622 0.95 -2.21 -169 .612 1.00 -3.01 -180 .588 1.10 -4.97 -200 .513 1.20 -7.24 -217 .427 1.30 -9.62 -231 .350 1.40 -12.0 -242 .289 1.50 -14.3 -252 .241 1.60 -16.4 -260 .204 1.70 -18.5 -266 .175 1.80 -20.5 -272 .152 1.90 -22.3 -277 .134 2.00 -24.1 -282 .119 2.25 -28.2 -291 .091 2.50 -31.8 -299 .072 2.75 -35.1 -304 .059 3.00 -38.2 -309 .049 3.25 -41.0 -313 .041 3.50 -43.5 -317 .035 4.00 -48.2 -322 .027 5.00 -55.9 -330 .017 6.00 -62.3 -335 .012 7.00 -67.6 -339 .009 8.00 -72.2 -341 .007 9.00 -76.3 -343 .005 -80.0 10.0 -345 .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) 2.0 1.0 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Frequency(f/fc) 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 7 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 6-Pole Appendix A Butterworth Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .615 0.10 0.00 -22.2 .617 0.20 0.00 -44.5 .624 0.30 0.00 -67.2 .637 0.40 0.00 -90.4 .656 0.50 -0.001 -115 .685 0.60 -0.009 -140 .731 0.70 -0.060 -167 .803 0.80 -0.289 -198 .911 0.85 -0.578 -215 .970 0.90 -1.080 -233 1.02 0.95 -1.88 -252 1.03 1.00 -3.01 -270 1.00 1.10 -6.17 -304 .845 1.20 -9.96 -331 .660 1.30 -13.9 -352 .518 1.40 -17.6 -368 .417 1.50 -21.2 -382 .345 1.60 -24.5 -393 .291 1.70 -27.7 -403 .251 1.80 -30.6 -412 .219 1.90 -33.5 -419 .193 2.00 -36.1 -425 .171 2.25 -42.3 -439 .132 2.50 -47.8 -450 .105 2.75 -52.7 -458 .086 3.00 -57.3 -465 .071 3.25 -61.4 -471 .060 3.50 -65.3 -476 .052 4.00 -72.2 -484 .039 5.00 -83.9 -496 .025 6.00 -503 .017 -93.4 7.00 -508 .012 -101 8.00 -512 .0097 -108 9.00 -515 .0076 -115 10.0 -518 .0062 -120 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) 2.0 1.0 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 8 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 High-Pass 4-Pole Appendix A Butterworth Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -80.0 345 .418 -55.9 0.20 330 .423 -41.8 0.30 314 .433 -31.8 0.40 299 .449 -24.1 0.50 282 .474 0.60 -17.8 264 .511 0.70 -12.6 245 .558 0.80 -8.43 224 .604 0.85 -6.69 213 .619 202 0.90 -5.22 .622 0.95 -3.99 191 .612 1.00 -3.01 180 .588 1.20 -0.908 143 .427 .289 1.40 -0.285 118 .204 1.60 -0.100 100 1.80 -0.039 87.6 .152 2.00 -0.017 78.0 .119 61.4 2.50 -0.003 .072 -0.001 50.7 3.00 .049 0.00 37.8 4.00 .027 5.00 0.00 30.1 .017 6.00 0.00 25.1 .012 7.00 0.00 21.4 .009 0.00 8.00 18.8 .007 0.00 9.00 16.7 .005 10.0 0.00 15.0 .004 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 27 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 High-Pass 6-Pole Appendix A Butterworth Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -120 518 0.617 -83.9 0.20 496 0.624 -62.7 0.30 473 0.637 -47.8 0.40 450 0.656 -36.1 0.50 425 0.685 0.60 -26.6 400 0.731 0.70 -18.6 373 0.803 0.80 -11.9 342 0.911 0.85 -9.05 325 0.970 307 0.90 -6.57 1.017 0.95 -4.55 288 1.033 1.00 -3.01 270 1.005 0.660 1.20 -0.46 209 0.417 1.40 -0.08 172 0.291 1.60 -0.02 147 1.80 -0.00 128 0.219 2.00 -0.00 115 0.171 90.4 2.50 -0.00 0.105 -0.00 74.8 3.00 0.071 0.00 55.8 4.00 0.039 5.00 0.00 44.5 0.025 6.00 0.00 37.0 0.017 7.00 0.00 31.7 0.013 0.00 8.00 27.7 0.010 0.00 9.00 24.6 0.008 10.0 0.00 22.2 0.006 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 28 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 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