90PF Slot Card Dual Channel Programmable Filter/Amplifier Card Introduction Description Each 90PF slot card provides two channels of precision, low noise and distortion (-100 dB typical) programmable filters with up to 60 dB of pre and 20 dB of post adjustable gain. Filter modules are programmable from 0.1 Hz to 300 kHz utilizing 4, 11-bit tuning ranges. When assembled with a high-pass filter in channel one (1) and a low-pass filter in channel two (2), 90PF slot cards can be configured on the fly to operate as a low-pass, high-pass, band-pass, or bandreject (notch) filter. Customers can select any combination of two available filter modules per slot card to meet their application specific signal conditioning needs. Front panel mounted BNC’s provide easy access for connection of signal input and output. Other features include differential or single-ended input, AC or DC-coupled input, single ended output, LED clipping indicators and fine adjustment of DC offset. Operating the 90PF in filter BYPASS mode allows the design engineer to use each channel as a precision instrumentation grade programmable amplifier. Available 90PF Low Pass Filters Part # dB # Poles L8B -100 8 L8L -100 8 L8E -88 8, 6-zero L8EX -80≤100kHz 8, 6-zero -60>100kHz L8EY -100 8, 6-zero L8D80 -80 8, 6-zero L8D10 -100 8, 6-zero Features • 0.1 Hz to 300 kHz Tuning Range • Selectable single-ended or differential input • Gain/phase matched channels • LED clipping indicators • Memory storage for up to 9 set-ups/slot card • <-100 dB signal-to-noise ratio to 100 kHz BW • Programmable gain, 60 dB pre and 20 dB post Available 90PF High Pass Filters Part # dB # Poles H8B -100 8 H8E -88 8, 6-zero H8EX -80≤100kHz 8, 6-zero -60>100kHz H8EY -100 8, 6-zero Applications • Anti-Aliasing • Sound Measurement • Noise Testing • Audio Communications • Medical Research • Industrial Process Control • Seismic Analysis • Vibration Analysis Filter Type Butterworth Bessel Elliptic, 1.77 Elliptic, 1.56 Elliptic, 2.00 Constant Delay Constant Delay Filter Type Butterworth Elliptic, 1.77 Elliptic, 1.56 Elliptic, 2.00 1 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] • Web Address: http://www.freqdev.com 90PF Slot Card Dual Channel Programmable Filter/Amplifier Card Introduction 10 6 Pre-Gain Filter M odule BNC 14 BYPASS ACTIVE BDREJECT1 SNG/DIF 2 Channel One 19 Signal Output 1 Post-Gain BNC AC/DC Signal Input 1 10 6 20 Channel Two 2 Pre-Gain Filter M odule AC/DC BNC CPLD DAC CPLD DAC SNG/DIF Signal Input 2 Signal Output 2 Post-Gain 14 CPLD BYPASS ACTIVE BDREJECT2 CH2_NO_CASCADE DAC DAC BNC CPLD SPI BUS EEPROM for FILTER CODE AT25256 P89C660 25C080 EEPROM for PARAM ETERS 32-PIN CONNECTOR TO BACKPLANE Figure 1 – Signal Path 2 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] • Web Address: http://www.freqdev.com 90PF Slot Card Low Pass Filter Options Specifications Product Model Transfer Function Tuning Range 90PF - L8B 8-Pole Butterworth 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Appendix A Page 9 Theoretical Transfer Characteristics Passband Ripple 90PF - L8L 8-Pole Bessel 90PF - L8E 8-Pole, 6-Zero elliptic – 1.77 90PF - L8EX 8-Pole, 6-Zero elliptic – 1.56 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Appendix A Page 4 Appendix A Page 24 Appendix A Page 23 0.0 dB 0.0 dB ±0.035 dB ±0.05 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB to 100 kHz (theoretical) Pass Band Gain (non-inverting) Stop Band Corner Frequency Accuracy Amplitude Phase Phase Match1 Filter Attenuation (theoretical) Amplitude Accuracy1 Attenuation Rate 48 dB/octave fc 0 - fc 0.12 dB 3.01 dB 60.0 dB 80.0 dB ±2% max. -3 dB -360° ±2º max. ±1º typ. 0.80 fc 1.00 fc 2.37 fc 3.16 fc Attenuation Rate 48 dB/octave fc 0 - fc 1.91 dB 3.01 dB 60.0 dB 80.0 dB Attenuation 80 dB ± 2% max. fr -3 dB -182° ±2º max. ±1º typ. -0.035 dB -323° 0 – 0.8fr ±2º max. ±1º typ. 0.8fr - fr ±4º max. ±2º typ. 0.80 fc 1.00 fc 4.52 fc 6.07 fc 0.035 dB 3.01 dB 60.0 dB 80.0 dB ± 2% max. 1.00 fr 1.13 fr 1.67 fr 1.77 fr 0 ± 0.4 dB >100 kHz Attenuation 80 dB <100kHz> 60dB ± 2% max. ± 3% > 100 kHz -0.05 dB -414° 0 – 0.8fr ±3ºmax fr 0.8fr - fr ±4º>100kHz ±4º max. ±5º>100kHz 0.5 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 fc ±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc ±0.3 dB max. ±0.15 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 - 0.8 fr ±0.2 dB max. ±0.1 dB typ. 0.8 fr - fr ±0.4 dB max. ±0.2 dB typ. 0 - 0.8 fr ±0.2 dB max. ±0.1 dB typ. 0.8 fr - fr ±0.7 dB max. ±0.35 dB typ. Total Harmonic Distortion @ 1 kHz <-100dB typ.@3Vrms <-100dB typ.@3Vrms <-100dB typ.@3Vrms <-100dB typ.@3Vrms Broad Band Noise 200µVrms typ. 200µVrms typ. 200µVrms typ. 200µVrms typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. 0.1 to 100 kHz (theoretical) (5 Hz to 2MHz) Narrow Band Noise Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. 3 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] • Web Address: http://www.freqdev.com 90PF Slot Card Low Pass Filter Options Specifications Product Model Transfer Function Tuning Range 90PF - L8EY 8-Pole, 6-Zero elliptic – 2.00 90PF - L8D80 8-Pole, 6-Zero constant delay 90PF - L8D10 8-Pole, 6-Zero constant delay 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Appendix A Page 25 Theoretical Transfer Characteristics Passband Ripple Appendix A Page 21 Appendix A Page 22 0.05 dB 0.10 dB 0.15 dB 0 ± 0.2 dB 0 ± 0.2 dB 0 ± 0.2 dB (theoretical) Pass Band Gain (non-inverting) Stop Band Corner Frequency Accuracy Amplitude Phase Phase Match1 Attenuation Rate 100 dB fr 0 – 0.8fr 0.8fr - fr Filter Attenuation (theoretical) Amplitude Accuracy1 0.5 dB 3.01 dB 80.0 dB 100.0 dB ± 2% max. -0.05 dB -419° ±3º max. ±1.5º typ. ±4º max. ±2º typ. 1.00 fr 1.06 fr 1.83 fr 2.00 fr Attenuation Rate 80 dB ± 2% max. -3 dB -306° fc Attenuation Rate 100 dB fc ±2% max. -3 dB -311° 0 – 0.8fc 0.8fc – fc ±2º max. ±1º typ. ±4º max. ±2º typ. 0.8fc – fc ±2º max. ±1º typ. ±4º max. ±2º typ. 3.01 dB 60.0 dB 80.0 dB 1.00 fc 3.08 fc 3.57 fc 3.01 dB 80.0 dB 100 dB 1.00 fc 4.45 fc 5.20 fc 0 – 0.8fc 0 - 0.8 fr ±0.2 dB max. ±0.1 dB typ. 0.8 fr - fr ±0.5 dB max. ±0.25 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. 0 - 0.8 fc ±0.2 dB max. ±0.1 dB typ. 0.8 fc - fc ±0.5 dB max. ±0.25 dB typ. Total Harmonic Distortion @ 1 kHz <-100dB typ.@3Vrms <-100dB typ.@3Vrms <-100dB typ.@3Vrms Broad Band Noise 200µVrms typ. 200µVrms typ. 200µVrms typ. <100nV/ Hz typ. <100nV/ Hz typ. <100nV/ Hz typ. 0.1 to 100 kHz (theoretical) (5 Hz to 2MHz) Narrow Band Noise Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. 4 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] • Web Address: http://www.freqdev.com 90PF Slot Card High Pass Filter Options Specifications 90PF - H8B 8-Pole Butterworth Transfer Function Tuning Range 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Appendix A Page 29 Theoretical Transfer Characteristics Passband Ripple 90PF - H8E 8-Pole, 6-Zero elliptic – 1.77 Appendix A Page 37 0.0 dB ±0.035 dB 0 ± 0.2dB to 100kHz 0 ± 0.5dB to 400kHz 500 kHz 0 ± 0.2dB to 100kHz 0 ± 0.5dB to 400kHz 500 kHz (-6 dB) 1 MHz (-6 dB) 1 MHz (theoretical) Pass Band Gain (non-inverting) Power Bandwidth Small Signal Bandwidth Stop Band Corner Frequency Accuracy Amplitude Phase Phase Match1 Attenuation Rate 48 dB/octave fc Attenuation 80 dB ± 2% max. -3 dB -360° fc to 100 kHz fr ±3º max. ±1.5º typ. ± 2% max. -0.035 dB -323.5° fr – 1.25 fr 1.25fr to 100 kHz Filter Attenuation (theoretical) Amplitude Accuracy1 -83 dB -48 dB -3.01 dB -0.01 dB -80.0 dB -60.0 dB -0.03 dB 0.00 dB 0.30 fc 0.50 fc 1.00 fc 1.50 fc ±4º max. ±2º typ. ±2º max. ±1º typ. 0.56 fr 0.60 fr 1.00 fr 2.00 fr fc – 1.25 fc ±0.3 dB max. ±0.15 dB typ. 1.25 fc – 400 kHz ±0.5 dB max. fr – 1.25 fr ±0.4 dB max. ±0.2 dB typ. 1.25 fr – 400 kHz ±0.5 dB max. Total Harmonic Distortion @ 1 kHz <-100dB typ. @ 3Vrms <-100dB typ. @ 3Vrms Broad Band Noise 400µVrms typ. 400µVrms typ. <100nV/ Hz typ. <100nV/ Hz typ 0.1 Hz to 100 kHz (theoretical) (5 Hz – 2 MHz) Narrow Band Noise Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. 5 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] • Web Address: http://www.freqdev.com 90PF Slot Card High Pass Filter Options Specifications 90PF - H8EX 8-Pole, 6-Zero elliptic – 1.56 Transfer Function Tuning Range 0.1 Hz to 300 kHz 0.1 Hz to 300 kHz Appendix A Page 36 Theoretical Transfer Characteristics Passband Ripple 90PF - H8EY 8-Pole, 6-Zero elliptic – 2.00 Appendix A Page 38 ±0.05 dB ±0.05 dB 0 ± 0.3dB to 100kHz 0 ± 2.0dB to 400kHz 500 kHz 0 ± 0.2dB to 100kHz 0 ± 2.0dB to 400kHz 500 kHz (-6 dB) 1 MHz (-6 dB) 1 MHz (theoretical) Pass Band Gain (non-inverting) Power Bandwidth Small Signal Bandwidth Stop Band Attenuation Attenuation 100 dB 80 dB <100kHz> 60dB Corner Frequency Accuracy fr Amplitude Phase Phase Match1 fr – 1.25 fr 1.25fr to 100 kHz Filter Attenuation (theoretical) Amplitude Accuracy1 -80.0 dB -60.0 dB -3.01 dB -0.03 dB 0.00 dB ± 2% max. ± 4% > 100 kHz -0.05 dB -414° fr ± 2% max. -0.05 dB -419° ±4º max. ±5º > 100 kHz. ±3º max. ±4º > 100 kHz. fr – 1.25 fr 0.64 fr 0.69 fr 0.95 fr 1.00 fr 2.00 fr 100 dB -80.0 dB -3.01 dB -0.03 dB 0.00 dB 1.25fr to 100 kHz ±4º max. ±2º typ. ±3º max. ±1.5º typ. 0.05 fr 0.55 fr 0.94 fr 1.00 fr 2.00 fr fr – 1.25 fr ±0.5 dB max. ±0.25 dB typ. 1.25 fr – 400 kHz ±0.7 dB max. fr – 1.25 fr ±0.5 dB max. ±0.25 dB typ. 1.25 fr – 400 kHz ±0.5 dB max. Total Harmonic Distortion @ 1 kHz <-100dB typ. @ 3Vrms <-100dB typ. @ 3Vrms Broad Band Noise 400µVrms typ. 400µVrms typ. <100nV/ Hz typ <100nV/ Hz typ 0.1 Hz to 100 kHz (theoretical) (5 Hz – 2 MHz) Narrow Band Noise Note 1: Channel to channel match for the same transfer function set to the same frequency and operating configuration. 6 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] • Web Address: http://www.freqdev.com 90PF Slot Card Bypass Mode Specifications @ 25ºC Dual Channel Programmable Filter/Amplifier Card Input Characteristics Input Impedance: Differential 2 MΩ shunted by 47pF Amplifier Characteristics Distortion @ 1 kHz Noise Density Single Ended Coupling Maximum Input Signal 1 MΩ shunted by 47pF AC or DC ±10V pk @0 dB Pre Filter Gain (No Filter) Gain Settings Input Voltage: Linear Differential Max. Safe Differential Max Safe Common Mode Bias Current Common Mode Rejection Ratio with 2kΩ source unbalance and 0 dB gain Output Characteristics Full Power Bandwidth Small Signal Bandwidth (1V pk-pk) Related Output Output Protection Output Impedance Offset Voltage General Cross Talk between Channels Operating Temperature Offset Temperature Coeff. Humidity Slot Card Dimensions Weight Signal Bandwidth Amplitude Match Gain Accuracy@ DC 20V p-p (Gain Set at 0 dB) Any Continuous value between ±40V Any Continuous value between ±40V 1 nA typ., 2 nA max. Post Filter Gain (No Filter) Gain Settings >60 dB, dc to 50kHz Signal Bandwidth Amplitude Match Gain Accuracy@ DC <-100 dB typ. @ 3.0 Vrms 14 nV/ Hz 0 to 60 dB in 5 dB steps ±0.1 dB tolerance -6.0 dB @ 1.0 MHz@ +60 dB ±0.1 dB @ DC ±0.1 dB 0 to 20 dB in 1 dB steps ±0.1 dB tolerance -6.0 dB @ 1.0 MHz ±0.1 dB @ DC ±0.1 dB dc to 1.0 MHz 1.0 MHz @ -6dB 10V p-p for RL = 50Ω 20V p-p for RL = 2kΩ short circuit to Ground only 50Ω Adjustable to zero, In 1 mV steps. (Range ±100mV dc) <-100 dB @ 1 kHz 0ºC to 50ºC 10µV/ºC RTI 0 to 95%, non-condensing 100 x 220 mm (3U) 0.60 Lbs., (0.3 Kg.) Ordering Information Select Filter Option Channel 2 90PF-H8B/L8L Select Filter Option Channel 1 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 that applies 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. 7 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 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 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 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 1.2 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 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 = -20 9 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 -60 -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 Normalized Delay Actual Corner Frequency (fc) in Hz -40 -80 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 21 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) 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz Frequency Response Amp (dB) 0 -20 -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 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 23 1 2 3 4 Normalized Time (1/f sec) 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz 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) 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 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 24 1 2 3 4 Normalized Time (1/f sec) 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz 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) 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 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 0 25 1 2 3 4 Normalized Time (1/f sec) 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 0.139 120 0.00 2.50 0.00 99.2 0.094 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 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 1.60 202 -0.01 0.426 188 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 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz Frequency Response Amp (dB) 0 -20 -40 -60 -80 -100 0.1 36 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 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 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz 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 Normalized Frequency(f/fc) 37 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑ 10.0 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 0.524 0.60 -64.6 637 0.669 0.70 -44.1 615 1.001 0.80 -26.7 586 1.401 0.85 -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 1.60 -0.016 214 0.436 1.70 -0.004 200 0.376 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 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz Frequency Response 0 Amp (dB) -20 -40 -60 -80 -100 -120 0.1 38 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) 1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑