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 3 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 10 25 Locust St., Haverhill, Massachusetts 01830 ∞ Tel:5 800/252-7074, 978/374-0761 ∞ FAX:978/521-1839 25 Locust St, Haverhill, 01830∞ Web • Tel:Address: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 http://www.freqdev.com e-mail: Massachusetts [email protected] e-mail: [email protected] • Web Address: http://www.freqdev.com 6 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 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 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 9002 Instrument Specifications Filter Options Product Model Transfer Function LP00 – Low Pass 8-Pole Butterworth LP01 – Low Pass 8-Pole, 6-Zero elliptic LP02 – Low Pass 8-Pole Bessel LP03 – Low Pass 8-Pole, 6-Zero constant delay Tuning Range 0.1 Hz to 102.4 kHz 0.1 Hz to 102.4 kHz 0.1 Hz to 102.4 kHz 0.1 Hz to 102.4 kHz Theoretical Transfer Characteristics Appendix A Page 9 Appendix A Page 24 Appendix A Page 4 Appendix A Page 21 0.0 dB ±0.035 dB 0.0 dB 0.10 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB Accuracy Amplitude Phase Attenuation Rate 48 dB/octave fc ±2% max. -3 dB -360° Attenuation 80 dB fr ± 2% max. -0.035 dB -323° Attenuation Rate 48 dB/octave fc ± 2% max. -3 dB -182° Attenuation 80 dB fc ± 2% max. -3 dB -306° Phase Match1 0 - fc Passband Ripple (theoretical) Pass Band Gain (non-inverting) Stop Band ±2º max. ±1º typ. 0 – 0.8fr 0.8fr - fr Filter Attenuation (theoretical) Amplitude Match1 0.12 dB 3.01 dB 60.0 dB 80.0 dB 0.80 fc 1.00 fc 2.37 fc 3.16 fc 0.035 dB 3.01 dB 60.0 dB 80.0 dB ±2º max. ±1º typ. ±4º max. ±2º typ. 1.00 fr 1.13 fr 1.67 fr 1.77 fr 0 - fc ±2º max. ±1º typ. 0 – 0.8fc 0.8fc – fc 1.91 dB 3.01 dB 60.0 dB 80.0 dB 0.80 fc 1.00 fc 4.52 fc 6.07 fc 3.01 dB 60.0 dB 80.0 dB ±2º max. ±1º typ. ±4º max. ±2º typ. 1.00 fc 3.08 fc 3.57 fc 0 - 0.8 fc ±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc ±0.3 dB max. ±0.15 dB typ. 0 - 0.8 fr ±0.2 dB max. ±0.1 dB typ. 0.8 fr - fr ±0.4 dB max. ±0.2 dB typ. 0 - fc ±0.2 dB max. ±0.1 dB typ. 0 - 0.8 fc ±0.2 dB max. ±0.1 dB typ. 0.8 fc – fc ±0.4 dB max. ±0.2 dB typ. Total Harmonic Distortion2 @ 1 kHz <-90dB typ. @ 3Vrms <-85dB typ. @ 3Vrms <-90dB typ. @ 3Vrms <-90dB typ. @ 3Vrms Broad Band Noise2 200µVrms typ. 200µVrms typ. 200µVrms typ. 200µVrms typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. (theoretical) (5 Hz to 2MHz) Narrow Band Noise2 Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. Note 2: See text on pages 8 and 9 for definition and description. 10 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 9002 Instrument Specifications Filter Options Product Model Transfer Function LP05 – Low Pass 8-Pole, 6-Zero elliptic LP06 – Low Pass 4-Pole Bessel LP07 – Low Pass 4-Pole Butterworth LP08 – Low Pass 8-Pole Bessel Tuning Range 0.1 Hz to 204.8 kHz 0.1 Hz to 102.4 kHz 0.1 Hz to 102.4 kHz 0.1 Hz to 204.8 kHz Theoretical Transfer Characteristics Appendix A Page 24 Appendix A Page 2 Appendix A Page 7 Appendix A Page 4 ±0.035 dB 0.0 dB 0.0 dB 0.0 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB Attenuation Rate 24 dB/octave Attenuation Rate 24 dB/octave Attenuation Rate 48 dB/octave Accuracy Amplitude Phase Attenuation fr < 100 kHz -80 dB fr > 100 kHz -70 dB fr ±2% max. -0.035 dB -323° Phase Match1 0 – 0.8fr Passband Ripple (theoretical) Pass Band Gain (non-inverting) Stop Band 0.8fr - fr Filter Attenuation (theoretical) Amplitude Match1 0.035 dB 3.01 dB 60.0 dB 80.0 dB ±4º max. ±2º typ. ±8º max. ±4º typ. 1.00 fr 1.13 fr 1.67 fr 1.77 fr ± 2% max. -3 dB -121° fc ±2º max. ±1º typ. 0 - fc 1.86 dB 3.01 dB 30.0 dB 40.0 dB 0.80 fc 1.00 fc 3.50 fc 4.72 fc fc ± 2% max. -3 dB -180° fc ± 2% max. -3 dB -182° 0 - fc ±2º max. ±1º typ. 0 - fc ±4º max. ±2º typ. 0.67 dB 3.01 dB 30.0 dB 40.0 dB 0.80 fc 1.00 fc 2.37 fc 3.16 fc 1.91 dB 3.01 dB 60.0 dB 80.0 dB 0.80 fc 1.00 fc 4.52 fc 6.07 fc 0 - 0.8 fr ±0.5 dB max. ±0.2 dB typ. 0.8 fr – fr ±1.0 dB max. ±0.4 dB typ. 0 - fc ±0.2 dB max. ±0.1 dB typ. 0 - 0.8 fc ±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc ±0.3 dB max. ±0.15 dB typ. 0 - fc ±0.4 dB max. ±0.2 dB typ. Total Harmonic Distortion2 @ 1 kHz <-85dB typ. @ 3Vrms <-90dB typ. @ 3Vrms <-90dB typ. @ 3Vrms <-90dB typ. @ 3Vrms Broad Band Noise2 400µVrms typ. 200µVrms typ. 200µVrms typ. 400µVrms typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. (theoretical) (5 Hz to 2 MHz) Narrow Band Noise2 Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. Note 2: See text on pages 8 and 9 for definition and description. 11 11 Locust Haverhill, Massachusetts01830 01830•∞Tel: Tel: 800/252-7074, 800/252-7074, 978/374-0761 25 25 Locust St,St., Haverhill, Massachusetts 978/374-0761 ∞•FAX:978/521-1839 FAX: 978/521-1839 e-mail: [email protected] ∞ Web Address: http://www.freqdev.com e-mail: [email protected] • Web Address: http://www.freqdev.com 9002 Instrument Specifications Filter Options Product Model Transfer Function LP09 – Low Pass 8-Pole Butterworth HP00 – High Pass 8-Pole Butterworth HP01 – High Pass 8-Pole, 6-Zero elliptic HP05 – High Pass 8-Pole, 6-Zero elliptic Tuning Range 0.1 Hz to 204.8 kHz 0.1 Hz to 102.4 kHz 0.1 Hz to 102.4 kHz 0.1 Hz to 204.8 kHz Theoretical Transfer Characteristics Passband Ripple Appendix A Page 9 Appendix A Page 29 ±0.035 dB ±0.035 dB NA 0 ± 0.2dB to 100kHz 0 ± 0.5dB to 120kHz 120 kHz 0 ± 0.2dB to 100kHz 0 ± 0.5dB to 120kHz 120 kHz 0 ± 0.5dB to 100kHz 0 ± 1.0dB to 200kHz 120 kHz NA (-6 dB) 1 MHz (-6 dB) 1 MHz (-6 dB) 1 MHz Attenuation Rate 48 dB/octave Attenuation 80 dB Attenuation fr < 100 kHz -80 dB fr > 100 kHz -70 dB fr ± 2% max. -0.035 dB -323.5° 0 ± 0.2 dB (non-inverting) Power Bandwidth Small Signal Bandwidth Stop Band Attenuation Rate 48 dB/octave Accuracy Amplitude Phase fc Phase Match1 0 - fc Filter Attenuation (theoretical) Amplitude Match1 0.12 dB 3.01 dB 60.0 dB 80.0 dB Appendix A Page 37 0.0 dB 0.0 dB (theoretical) Pass Band Gain Appendix A Page 37 ±2% max. -3 dB -360° ±4º max. ±2º typ. 0.80 fc 1.00 fc 2.37 fc 3.16 fc ± 2% max. -3 dB -360° fc ±3º max. ±1.5º typ. fc to 100 kHz -83 dB -48 dB -3.01 dB -0.01 dB 0.30 fc 0.50 fc 1.00 fc 1.50 fc fr ± 2% max. -0.035 dB -323.5° fr – 1.25 fr 1.25fr 100 kHz ±4º max. ±2º typ. ±2º max. ±1º typ. 0.8fr to 100 kHz ±8º max. ±2º typ. ±4º max. ±1º typ. -80.0 dB -60.0 dB -0.03 dB 0.00 dB 0.56 fr 0.60 fr 1.00 fr 2.00 fr -80.0 dB -60.0 dB -0.03 dB 0.00 dB 0.56 fr 0.60 fr 1.00 fr 2.00 fr fr – 0.8fr 0 - 0.8 fc ±0.4 dB max. ±0.2 dB typ. 0.8 fc - fc ±0.6 dB max. ±0.3 dB typ. fc – 1.25 fc ±0.3 dB max. ±0.15 dB typ. 1.25 fc – 100 kHz ±0.2 dB max. ±0.1 dB typ. fr – 1.25 fr ±0.4 dB max. ±0.2 dB typ. 1.25 fr – 100 kHz ±0.2 dB max. ±0.1 dB typ fr – 1.25 fr ±1.0 dB max. ±0.2 dB typ. 1.25 fr – 200 kHz ±0.5 dB max. ±0.1 dB typ Total Harmonic Distortion2 @ 1 kHz <-90dB typ. @ 3Vrms <-90dB typ. @ 3Vrms <-85dB typ. @ 3Vrms <-85dB typ. @ 3Vrms Broad Band Noise2 400µVrms typ. 400µVrms typ. 400µVrms typ. 1mVrms typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. (theoretical) (5 Hz – 2 MHz) Narrow Band Noise2 Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. 12 12 25 Locust St., Haverhill, Massachusetts 01830 ∞ Tel: 800/252-7074, 978/374-0761 ∞ FAX:978/521-1839 25 Locust St, Haverhill, Massachusetts 01830∞ Web • Tel:Address: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 http://www.freqdev.com e-mail: [email protected] e-mail: [email protected] • Web Address: http://www.freqdev.com 9002 Instrument Specifications Filter Options Product Model Transfer Function HP07 – High Pass 4-Pole Butterworth HP09 – High Pass 8-Pole Butterworth Tuning Range 0.1 Hz to 102.4 kHz 0.1 Hz to 204.8 kHz Theoretical Transfer Characteristics Pass Band Ripple Appendix A Page 27 Appendix A Page 29 0.0 dB 0.0 dB 0 ± 0.2dB to 100kHz 0 ± 0.5dB to 120kHz 120 kHz 0 ± 0.5dB to 100kHz 0 ± 1.0dB to 200kHz 120 kHz (-6 dB) 1 MHz (-6 dB) 1 MHz Attenuation Rate 24 dB/octave fc ±2% max. -3 dB -180° Attenuation Rate 48 dB/octave fc ± 2% max. -3 dB -360° (theoretical) Pass Band Gain (non-inverting) Power Bandwidth Small Signal Bandwidth Stop Band Accuracy Amplitude Phase Phase Match1 Filter Attenuation (theoretical) Amplitude Match1 fc – 100kHz -40 dB -30 dB -3.01 dB -0.02 dB ±3º max. ±1.5º typ. 0.31 fc 0.42 fc 1.00 fc 2.00 fc ±6º max. ±3º typ. fc – 200kHz -83 dB -48 dB -3.01 dB -0.01 dB 0.30 fc 0.50 fc 1.00 fc 1.50 fc fc – 1.25 fc ±0.3 dB max. ±0.15 dB typ. 1.25 fc – 100 kHz ±0.2 dB max. ±0.1 dB typ. fc – 1.25 fc ±0.6 dB max. ±0.3 dB typ. 1.25 fc – 200 kHz ±0.4 dB max. ±0.2 dB typ. Total Harmonic Distortion2 @ 1 kHz <-90dB typ. @ 3Vrms <-90dB typ. @ 3Vrms Broad Band Noise2 400µVrms typ. 1mVrms typ. <100nV/ Hz typ. <100nV/ Hz typ. (5 Hz – 2 MHz) Narrow Band Noise2 Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. Note 2: See text on pages 8 and 9 for definition and description. 13 13 25 Locust St., Haverhill, Massachusetts 01830 ∞ Tel: 800/252-7074, 978/374-0761 ∞ FAX:978/521-1839 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 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 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 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 (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 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 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 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, 1.77 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