R854 Series 1.0 Hz to 102.4 kHz 8-Bit Programmable 2" x 4" Range Switch 4-Pole Filters Description The R854 Series are digitally programmable, 4-pole low-pass and high-pass active filters that contain a low and a high programmable frequency range, with each range tunable over a 256:1 ratio. R854 filters are available with any two of five standard factoryset tuning ranges or 8-bit custom ranges from 1.0 Hz to 102.4 kHz. These units contain 8 CMOS logic inputs that can be operated in a transparent or latching mode and 1 logic input for range selection. All R854 Series models are convenient, easy to use fully finished filters which require no external components or adjustments. They feature low harmonic distortion, and precision phase and amplitude characteristics. R854 filters operate from non-critical ±12 to ±18 Vdc power supplies, have a 10 kΩ (min.) input impedance, a 10 Ω (max.) output impedance. Features/Benefits: • Digitally programmable corner frequency allows selecting cut-off frequencies specific to each application. • Plug-in ready-to-use, reducing engineering design and manufacturing cycle time. • Factory-set tuning range, no external clocks or adjustments needed. • Broad range of transfer characteristics and corner frequencies to meet a wide range of applications. • Low profile design, ideal for rack mount installations. 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 Programmable Specifications . . . . . . . . . . . . . Page Digital Tuning & Control . . . . . . . . . . . . . . . . . . . . . . 2 Available Low-Pass Models: . . . . . . . . . . . . . . . . . . . R854L4B 4-pole Butterworth. . . . . . . . . . . . . . . . . . 3 R854L4L 4-pole Bessel . . . . . . . . . . . . . . . . . . . . . 3 R854L8Y2 4-pole Cheby (0.2 dB Ripple) . . . . . . . . . 3 R854L8Y5 4-pole Cheby (0.5 dB Ripple) . . . . . . . . . 3 Available High-Pass Models: . . . . . . . . . . . . . . . . . . R854H8B 4-pole Butterworth. . . . . . . . . . . . . . . . . . 4 R854H8Y2 4-pole Cheby (0.2 dB Ripple) . . . . . . . . . 4 R854H8Y5 4-pole Cheby (0.5 dB Ripple) . . . . . . . . . 4 General Specifications: Ordering information . . . . . . . . . . . . . . . . . . . . . . . . . 5 Pin-out/package data. . . . . . . . . . . . . . . . . . . . . . . . . 5 25 Locust St. • Haverhill, Massachusetts 01830 • (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 R854 Series Range Switch 8-Bit Programmable Filters Digital Tuning & Control Characteristics Digital Tuning Characteristics Pin-Out Key The digital tuning interface circuits are two 4042 quad CMOS latches which accept the following CMOS-compatible inputs: eight tuning bits (D0 - D7), a range selection bit (R), a latch strobe bit (C), and a transition polarity bit (P). IN OUT GND "P" "C" +Vs -Vs Os R Filter tuning follows the tuning equation given below: 7 6 5 4 3 fc = ( fmax/256 ) [ 1 + D7 x 2 + D6 x 2 + D5 x 2 + D4 x 2 + D3 x 2 2 1 0 + D2 x 2 + D1 x 2 + D0 x 2 ] where D1 - D7 = "0" or "1", and fmax = Maximum tuning frequency; fc = corner frequency; R = 0, Maximum low range R = 1, Maximum Minimum tunable frequency = fmax/256 (D0 thru D7 = 0); Minimum frequency step (Resolution) = fmax/256 D7 Tuning D6 Tuning D5 Tuning D4 Tuning D3 Tuning D2 Tuning D1 Tuning D0 Tuning Analog Input Signal Analog Output Signal Power and Signal Return Transition Polarity Bit Tuning Strobe Bit Supply Voltage, Positive Supply Voltage, Negative Optional Offset Adjustment Range Switch Adjustment Bit Bit Bit Bit Bit Bit Bit Bit OUT +Vs -Vs 7 (MSB) 6 5 4 3 2 1 0 (LSB) R D7 D6 D5 D4 GND D3 Data Control Specifications D2 D1 Data Control Lines Functions Data Control Modes Mode 1 Mode 2 Input Data Levels D0 Latch Strobe (C) Transition Polarity (P) P = 0; C = 0 frequency follows input codes P = 0; C = 0⇑ frequency latched on rising edge P = 1; C = 1 frequency follows input codes P = 1; C = 1⇓ frequency latched on falling edge (CMOS Logic) Input Voltage (Vs = 15 Vdc) Low Level In 0 Vdc min. High Level In 11 Vdc min. Input Current High Level In Low Level In IN Os4 -5 4 Vdc max. 15 Vdc max. P C Bottom View Bit Weight MSB --- --- --- --- --- --- LSB 27 26 25 24 23 22 21 20 fc D7 D6 D5 D4 D3 D2 D1 D0 Corner Frequency 0 0 0 0 0 0 0 0 fmax/256 0 0 0 0 0 0 0 1 fmax/128 0 0 0 0 0 0 1 1 fmax/64 - 10 µA typ. -5 +10 µA typ. -1 mA max. +1 µA max. 0 0 0 0 0 1 1 1 fmax/32 Input Capacitance Latch Response 1 Data Set Up Time 2 Data Hold Time Strobe Pulse Width 5 pF typ 7.5 pF max. 0 0 0 0 1 1 1 1 fmax/16 0 0 0 1 1 1 1 1 fmax/8 0 0 1 1 1 1 1 1 fmax/4 Input Data Format Positive Logic Frequency Select Bits Logic "1" = +Vs Logic "0" = Gnd (Binary-Coded) LSB (least significant bit) MSB (most significant bit) 256 : 1, Binary Weighted 0 1 1 1 1 1 1 1 fmax/2 1 1 1 1 1 1 1 1 fmax Bit Weighting D0 D7 Frequency Range 25 nS 50 nS 80 nS min. Notes: 1.Frequency data must be present before occurrence of strobe edge. 2.Frequency data must be present after occurrence of strobe edge. 2 25 Locust St. • Haverhill, Massachusetts 01830 • (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 R854 Series 4-Pole Low-Pass Filters Range Switch 8-Bit Programmable Model R854L8B R854L8L R854L8Y2 R854L8Y5 Transfer Function 4-Pole, Butterworth 4-Pole, Bessel 4-Pole, Chebychev, 0.2 dB Ripple 4-Pole, Chebychev, 0.5 dB Ripple Size 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.6” Range fc 1.0 Hz to 102.4 kHz 1.0 Hz to 102.4 kHz 1.0 Hz to 102.4 kHz 1.0 Hz to 102.4 kHz Theoretical Transfer Characteristics Appendix A Page 7 Appendix A Page 2 Appendix A Page 12 Appendix A Page 15 Passband Ripple 0.0 dB 0.0 dB 0.2 dB 0.5 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 24 dB/octave 24 dB/octave 24 dB/octave 24 dB/octave Cutoff Frequency Stability Amplitude Phase fc ± 0.01% /°C - 3 dB -180° Filter Attenuation 0.67 dB 3.01 dB 30.0 dB 40.0 dB Product Specifications (theoretical) DC Voltage Gain (non-inverting) (theoretical) Phase Match1 ± 2% max. 0.80 fc 1.00 fc 2.37 fc 3.16 fc 0 - 0.8 fc fc ± 0.01% /°C - 3 dB -121° 1.86 dB 3.01 dB 30.0 dB 40.0 dB ± 2° max. ± 1° typ. 0.8 fc - 1.0 fc ± 3° max. ± 1.5° typ. 0 - fc ± 0.2 dB max. ± 0.1 dB typ. 0.8 fc - 1.0 fc ± 0.3 dB max. ± 0.15 dB typ. 0 - fc Total Harmonic Distortion @ 1 kHz < - 100 dB typ. Wide Band Noise Amplitude Accuracy (theoretical) ± 2% max. 0.80 fc 1.00 fc 3.50 fc 4.72 fc -0.20 dB 3.01 dB 30.0 dB 40.0 dB ± 2% max. 0.80 fc 1.00 fc 1.89 fc 2.46 fc ± 2% max. -0.43 dB 3.01 dB 30.0 dB 40.0 dB 0 - 0.8 fc 0.80 fc 1.00 fc 1.80 fc 2.33 fc 0.8 fc - 1.0 fc 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. 0 - 0.8 fc < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. 200 µVrms typ. 200 µVrms typ. 200 µVrms typ. 200 µVrms typ. 50 µVrms typ. 50 µVrms typ. 50 µVrms typ. 50 µVrms typ. FMA-03A FMA-03A FMA-03A FMA-03A ± 0.2 dB max. ± 0.1 dB typ. 0 - 0.8 fc fc ± 0.01% /°C - 3 dB -245° ± 2° max. ± 1° typ. 0.8 fc - 1.0 fc ± 3° max. ± 1.5° typ. 0 - 0.8 fc ± 2° max. ± 1° typ. fc ± 0.01% /°C - 3 dB - 231° 0.8 fc - 1.0 fc ± 2° max. ± 1° typ. ± 3° max. ± 1.5° typ. ± 0.2 dB max. ± 0.1 dB typ. ± 0.3 dB max. ± 0.15 dB typ. (5 Hz - 2 MHz) Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly 1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot. 3 25 Locust St. • Haverhill, Massachusetts 01830 • (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 R854 Series 4-Pole High-Pass Filters Range Switch 8-Bit Programmable Model R854H8B R854H8Y2 R854H8Y5 Transfer Function 4-Pole, Butterworth 4-Pole, Chebychev, 0.2 dB Ripple 4-Pole, Chebychev, 0.5 dB Ripple Size 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.6” 4.0” x 2.0” x 0.6” Range fc 1.0 Hz to 102.4 kHz 1.0 Hz to 102.4 kHz 1.0 Hz to 102.4 kHz Theoretical Transfer Characteristics Appendix A Page 27 Appendix A Page 31 Appendix A Page 33 Passband Ripple 0.0 dB 0.2 dB 0.50 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 Power Bandwidth 120 kHz 120 kHz 120 kHz Small Signal Bandwidth (-6 dB) 1 MHz (-6 dB) 1 MHz (-6 dB) 1 MHz Stopband Attenuation Rate 24 dB/octave 24 dB/octave 24 dB/octave Cutoff Frequency Stability Amplitude Phase fc ± 0.01% /°C - 3 dB 180° Filter Attenuation 40 dB 30 dB 3.01 dB 0.02 dB Product Specifications (theoretical) Voltage Gain (non-inverting) (theoretical) ± 2% max. 0.31 fc 0.42 fc 1.00 fc 2.00 fc fc ± 0.01% /°C - 3 dB 231° ± 2% max. 40.0 dB 30.0 dB 3.01 dB -0.07 dB 0.41 fc 0.53 fc 1.00 fc 2.00 fc fc ± 0.01% /°C - 3 dB 245° 40.0 dB 30.0 dB 3.01 dB -0.25 dB ± 2% max. 0.43 fc 0.56 fc 1.00 fc 2.00 fc Phase Match1 fc - 100 kHz ± 3° max. ± 1.5° typ. fc - 100 kHz ± 3° max. ± 1.5° typ. fc - 100 kHz ± 3° max. ± 1.5° typ. Amplitude Accuracy 1.00 - 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 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 fc ± 0.3 dB max. ± 0.15 dB typ. 1.25 fc-100 kHz± 0.2 dB max. ± 0.1 dB typ. Total Harmonic Distortion @ 1 kHz < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. Wide Band Noise 400 µVrms typ. 400 µVrms typ. 400 µVrms typ. Narrow Band Noise 100 µVrms typ. 100 µVrms typ. 100 µVrms typ. FMA-03A FMA-03A FMA-03A (theoretical) (5 Hz - 100 kHz) Filter Mounting Assembly 1.Unit to unit match for the same transfer function, set to the same frequency and operating configuration, and from the same manufacturing lot. 4 25 Locust St. • Haverhill, Massachusetts 01830 • (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 R854 Series Pin-Out and Package Data Ordering Information Specification (25°C and Vs ± 15 Vdc) Analog Input Characteristics1 Impedance Voltage Range Max. Safe Voltage Analog Output Characteristics Impedance (Closed Loop) Linear Operating Range Maximum Current2 Offset Voltage3 Offset Temp. Coeff. Power Supply (±Vs) Rated Voltage Operating Range Maximum Safe Voltage Quiescent Current 4-Pole 10 k Ω min. ± 10 Vpeak ±Vs 11 Ω typ. 10 Ω max. ±10V ±2 mA 22 mV typ. 20 mV max. 50 µV/°C Pin-Out & Package Data 4.00 0.6 0.2 min 0.04 Dia. Side View All dimensions are in inches All Case Dimensions ± 0.02" Grid Dimensions 0.1" x 0.1" OUT +Vs -Vs R D7 D6 ±15 Vdc ±12 to ±18 Vdc ±18 Vdc D5 D4 GND 2.00 D3 D2 ±13 mA typ. ±20 mA max. Temperature Operating Storage D1 D0 IN Os4 -20 to +70°C -25 to +85°C P C Bottom View Filter Mounting Assembly-See FMA-03A Notes: 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. 4. Units operate with or without offset pin connected. DC Offset Adjustment Ordering Information Filter Type Transfer Function L - Low Pass H - High Pass B - Butterworth L - Bessel Y2 - Chebychev (0.2 dB Ripple) Y5 - Chebychev (0.2 dB Ripple) + Vs R854L8B-3/5 Do not connect if trim is not required. 20 k Ω (Cermet) Model Number e.g., Model OS Number 2 3 4 5 6 Tuning Range (Hz) 1.0 to 256 10 to 2560 100 to 25.6k 200 to 51.2k 400 to 102.4k Minimum Step(Hz) 1.0 10 100 200 400 - Vs We hope the information given here will be helpful. The information is based on data and our best knowledge, and we consider the information to be true and accurate. Please read all statements, recommendations or suggestions herein in conjunction with our conditions of sale which apply to all goods supplied by us. We assume no responsibility for the use of these statements, recommendations or suggestions, nor do we intend them as a recommendation for any use which would infringe any patent or copyright. IN-00R854-01 5 25 Locust St. • Haverhill, Massachusetts 01830 • (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 Low-Pass 4-Pole Bessel Appendix A Theoretical Transfer Characteristics Delay (sec) 0.00 0.10 0.20 0.30 0.40 0.50 0.00 -0.028 -0.111 -0.251 -0.448 -0.705 0.00 -12.1 -24.2 -36.3 -48.4 -60.6 .336 .336 .336 .336 .336 .336 0.60 0.70 0.80 0.85 0.90 -1.02 -1.41 -1.86 -2.11 -2.40 -72.7 -84.8 -96.8 -103 -109 .336 .336 .335 .334 .333 0.95 1.00 1.10 1.20 1.30 -2.69 -3.01 -3.71 -4.51 -5.39 -115 -121 -133 -144 -156 .332 .330 .325 .318 .308 1.40 1.50 1.60 1.70 1.80 -6.37 -7.42 -8.54 -9.71 -10.9 -166 -177 -187 -195 -204 .295 .280 .263 .246 .228 1.90 2.00 2.25 2.50 2.75 -12.2 -13.4 -16.5 -19.5 -22.4 -212 -219 -235 -248 -259 .211 .194 .158 .129 .107 3.00 3.25 3.50 4.00 5.00 -25.1 -27.6 -30.0 -34.4 -41.9 -267 -275 -281 -291 -305 .089 .076 .065 .049 .031 6.00 7.00 8.00 9.00 10.0 -48.1 -53.4 -58.0 -62.0 -65.7 -315 -321 -326 -330 -333 .021 .016 .012 .009 .008 1 0 -20 Amp (dB) Phase (deg) -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) 1.0 Delay (sec) Amp (dB) 0.5 0.0 0.1 2 0.15 3 4 5 6 7 8 91.0 1.5 Normalized Time (1/f sec) Step Response 1.2 Step Response (V/V) f/fc (Hz) Frequency 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). 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 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 4-Pole Butterworth Appendix A Theoretical Transfer Characteristics Delay (sec) 0.00 0.10 0.20 0.30 0.40 0.50 0.00 0.00 0.00 -0.00 -0.003 -0.017 0.00 -15.0 -30.1 -45.5 -61.4 -78.0 .416 .418 .423 .433 .449 .474 0.60 0.70 0.80 0.85 0.90 -0.072 -0.243 -0.674 -1.047 -1.555 -95.7 -115 -136 -147 -158 .511 .558 .604 .619 .622 0.95 1.00 1.10 1.20 1.30 -2.21 -3.01 -4.97 -7.24 -9.62 -169 -180 -200 -217 -231 .612 .588 .513 .427 .350 1.40 1.50 1.60 1.70 1.80 -12.0 -14.3 -16.4 -18.5 -20.5 -242 -252 -260 -266 -272 .289 .241 .204 .175 .152 1.90 2.00 2.25 2.50 2.75 -22.3 -24.1 -28.2 -31.8 -35.1 -277 -282 -291 -299 -304 .134 .119 .091 .072 .059 3.00 3.25 3.50 4.00 5.00 -38.2 -41.0 -43.5 -48.2 -55.9 -309 -313 -317 -322 -330 .049 .041 .035 .027 .017 6.00 7.00 8.00 9.00 10.0 -62.3 -67.6 -72.2 -76.3 -80.0 -335 -339 -341 -343 -345 .012 .009 .007 .005 .004 1 0 -20 Amp (dB) Phase (deg) -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) 2.0 Delay (sec) Amp (dB) 1.0 0.0 0.1 2 0.15 3 4 5 6 7 8 91.0 1.5 Normalized Frequency(f/fc) Step Response 1.2 Step Response (V/V) f/fc (Hz) Frequency Response 1.0 0.8 0.6 0.4 0.2 -0.0 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). 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual 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 4-Pole, 0.2 dB Ripple Chebychev Appendix A Theoretical Transfer Characteristics Delay (sec) 0.00 0.10 0.20 0.30 0.40 0.50 0.000 0.039 0.129 0.195 0.174 0.074 0.00 -17.3 -35.2 -54.0 -73.4 -93.2 .478 .487 .509 .533 .547 .553 0.60 0.70 0.80 0.85 0.90 0.000 0.074 0.199 0.063 -0.443 -113 -135 -162 -178 -196 .575 .654 .836 .947 1.02 0.95 1.00 1.10 1.20 1.30 -1.47 -3.01 -6.89 -10.8 -14.5 -214 -231 -257 -274 -286 .989 .873 .583 .385 .271 1.40 1.50 1.60 1.70 1.80 -17.7 -20.7 -23.4 -25.8 -28.1 -294 -300 -306 -310 -313 .202 .158 .128 .107 .090 1.90 2.00 2.25 2.50 2.75 -30.2 -32.2 -36.7 -40.6 -44.1 -316 -319 -324 -328 -331 .078 .068 .051 .039 .032 3.00 3.25 3.50 4.00 5.00 -47.3 -50.2 -52.8 -57.6 -65.5 -334 -336 -338 -341 -345 .026 .022 .018 .014 .009 6.00 7.00 8.00 9.00 10.0 -71.9 -77.3 -82.0 -86.1 -89.8 -347 -349 -351 -352 -352 .006 .004 .003 .003 .002 1 0 -20 Amp (dB) Phase (deg) -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 2 1.0 3 4 5 6 7 810.0 Normalized Frequency(f/fc) Delay (Normalized) 2.0 Delay (sec) Amp (dB) 1.0 0.0 0.1 2 0.15 3 4 5 6 7 8 91.0 1.5 Normalized Time (1/f sec) Step Response 1.2 Step Response (V/V) f/fc (Hz) Frequency Response 1.0 0.8 0.6 0.4 0.2 -0.0 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). 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz 12 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, 0.5 dB Ripple Chebychev Appendix A Theoretical Transfer Characteristics Delay (sec) 0.00 0.10 0.20 0.30 0.40 0.50 0.00 0.087 0.295 0.474 0.463 0.248 0.00 -17.3 -35.7 -55.7 -76.9 -98.2 .476 .492 .533 .577 .596 .583 0.60 0.70 0.80 0.85 0.90 0.025 0.072 0.432 0.482 0.062 -119 -141 -168 -185 -205 .578 .647 .881 1.06 1.18 0.95 1.00 1.10 1.20 1.30 -1.12 -3.01 -7.61 -12.0 -15.9 -226 -245 -272 -288 -298 1.13 .946 .559 .345 .235 1.40 1.50 1.60 1.70 1.80 -19.3 -22.4 -25.1 -27.6 -29.9 -305 -311 -315 -318 -321 .173 .134 .108 .089 .075 1.90 2.00 2.25 2.50 2.75 -32.1 -34.1 -38.6 -42.6 -46.1 -324 -326 -301 -334 -336 .065 .057 .042 .033 .026 3.00 3.25 3.50 4.00 5.00 -49.3 -52.2 -54.9 -59.7 -67.6 -339 -340 -342 -344 -347 .021 .018 .015 .011 .007 6.00 7.00 8.00 9.00 10.0 -74.0 -79.4 -84.1 -88.2 -91.9 -350 -351 -352 -353 -354 .005 .004 .003 .002 .002 1 0 -20 Amp (dB) Phase (deg) -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 2 1.0 3 4 5 6 7 810.0 Normalized Frequency(f/fc) Delay (Normalized) 2.0 Delay (sec) Amp (dB) 1.0 0.0 0.1 2 0.15 3 4 5 6 7 8 91.0 1.5 Normalized Time (1/f sec) Step Response 1.2 Step Response (V/V) f/fc (Hz) Frequency Response 1.0 0.8 0.6 0.4 0.2 -0.0 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). 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz 15 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 Butterworth Appendix A Theoretical Transfer Characteristics Amp (dB) Phase (deg) Delay (sec) 0.10 0.20 0.30 0.40 0.50 -80.0 -55.9 -41.8 -31.8 -24.1 345 330 314 299 282 .418 .423 .433 .449 .474 0.60 0.70 0.80 0.85 0.90 -17.8 -12.6 -8.43 -6.69 -5.22 264 245 224 213 202 .511 .558 .604 .619 .622 0.95 1.00 1.20 1.40 1.60 -3.99 -3.01 -0.908 -0.285 -0.100 191 180 143 118 100 .612 .588 .427 .289 .204 1.80 2.00 2.50 3.00 4.00 -0.039 -0.017 -0.003 -0.001 0.00 87.6 78.0 61.4 50.7 37.8 .152 .119 .072 .049 .027 5.00 6.00 7.00 8.00 9.00 10.0 0.00 0.00 0.00 0.00 0.00 0.00 30.1 25.1 21.4 18.8 16.7 15.0 .017 .012 .009 .007 .005 .004 1 0 -20 Amp (dB) f/fc (Hz) Frequency Response -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 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). Normalized Delay Actual 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 4-Pole, 0.2 dB Ripple Chebychev Appendix A Theoretical Transfer Characteristics Amp (dB) Phase (deg) Delay (sec) 0.10 0.20 0.30 0.40 0.50 -89.8 -65.1 -51.1 -40.6 -32.2 352 345 337 328 319 .212 .218 .228 .245 .272 0.60 0.70 0.80 0.90 1.00 -25.0 -18.6 -12.7 -7.34 -3.01 308 296 280 259 231 .314 .383 .500 .686 .873 1.20 1.50 1.70 2.00 2.50 .140 .031 .003 .074 .174 172 128 111 93.2 73.4 .633 .275 .197 .138 .088 3.00 4.00 5.00 6.00 7.00 .200 .170 .129 .098 .076 60.4 44.5 35.2 29.2 24.9 .060 .033 .020 .014 .010 8.00 9.00 10.0 .060 .048 .040 21.7 19.3 17.3 .008 .006 .005 1 0 -20 Amp (dB) f/fc (Hz) Frequency Response -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 1.0 2 3 4 5 6 7 810.0 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz 31 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 4-Pole, 0.5 dB Ripple Chebychev Appendix A Theoretical Transfer Characteristics Amp (dB) Phase (deg) Delay (sec) 0.10 0.20 0.30 0.40 0.50 -91.9 -67.6 -53.1 -42.6 -34.1 354 347 341 334 326 .174 .179 .188 .203 .226 0.60 0.70 0.80 0.90 1.00 -26.8 -20.2 -14.0 -8.13 -3.01 317 307 293 274 245 .263 .326 .440 .651 .946 1.20 1.50 1.70 2.00 2.50 .500 .014 .043 .249 .469 179 133 117 98.2 76.9 .693 .271 .199 .146 .095 3.00 4.00 5.00 6.00 7.00 .498 .401 .296 .221 .169 62.7 45.5 35.7 29.4 25.0 .065 .035 .021 .014 .010 8.00 9.00 10.0 .133 .107 .088 21.8 19.3 17.3 .008 .006 .005 1 0 -20 Amp (dB) f/fc (Hz) Frequency Response -40 -60 -80 -100 0.1 2 3 4 5 6 7 8 1.0 2 3 4 5 6 7 810.0 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). Normalized Delay Actual Delay = Actual Corner Frequency (fc) in Hz 33 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