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 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 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 = 1fl 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 mA typ. -5 +10 mA typ. -1 mA max. +1 mA 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 25 nS 50 nS 80 nS min. 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 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 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 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 - 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 - fc Total Harmonic Distortion @ 1 kHz < - 100 dB typ. Wide Band Noise (theoretical) (5 Hz - 2 MHz) Narrow Band Noise (5 Hz - 100 kHz) Filter Mounting Assembly ± 2% max. 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. Amplitude Accuracy 0 - 0.8 fc fc ± 0.01% /°C - 3 dB -121° 0.80 fc 1.00 fc 3.50 fc 4.72 fc ± 2° max. ± 1° typ. fc ± 0.01% /°C - 3 dB - 231° -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 ± 2° max. ± 1° typ. 0.8 fc - 1.0 fc ± 3° max. ± 1.5° typ. 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 mVrms typ. 200 mVrms typ. 200 mVrms typ. 200 mVrms typ. 50 mVrms typ. 50 mVrms typ. 50 mVrms typ. 50 mVrms 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° 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. 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 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 mVrms typ. 400 mVrms typ. 400 mVrms typ. Narrow Band Noise 100 mVrms typ. 100 mVrms typ. 100 mVrms 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 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 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 W min. ± 10 Vpeak ±Vs 11 W typ. 10 W max. ±10V ±2 mA 22 mV typ. 20 mV max. 50 mV/°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 ± Vs 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) R854L8B-3/5 Do not connect if trim is not required. 20 k W (Cermet) Model Number OS e.g., Model Number 2 3 4 5 6 - Vs 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 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 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com Product Handling Procedure Programmable Filter Modules Power Sequence & ESD November 2000 Programmable Filters Modules 818, 824, 828, 828BP, 828BR, 854, 858, R854, R858 I. Scope The following precautions are necessary when handling and installing Frequency Devices programmable filter modules. II. Digital Circuit Description The digital input pins connect directly to 4000 series CMOS logic, such as the 4053 analog switch. The power supply (Vss) for the digital logic on the module comes directly from the +15 Volt pin on the module. This sets the threshold voltage at 11.0 V minimum to 15.0 V maximum for a "1" (High) level and 0.0 V minimum to 4.0 V maximum for a "0" (Low) level. Applying a voltage between 4.0 and 11.0 V will produce unpredictable operation. Connecting 5 Volt or 3.3 V logic devices directly to the filter module without using a voltage translator will result in erratic operation of the filter. III. (VERY IMPORTANT) Power-Up and Power-Down Sequence Do not plug-in or un-plug module while power is applied. It is imperative that power is supplied to the + 15 V pin on the filter module before or at the same instance that any digital pin is pulled High (> 0.0 V). Failure to do this will result in excessive current flowing through the digital input pin and through a protection diode internal to the 4000 logic, which will result in damage to the module. The proper power-up and power-down sequence is: 1. Connect filter module ground. 2. Connect filter module +15 V. 3. Connect filter module -15 V. 4. Connect the input signal. All four of the above steps can also occur simultaneously. Power-down should occur in the reverse order. IV. ESD Issues Like most modern electronic equipment, the modules can be damaged by electrostatic discharge (ESD). The modules are shipped from the factory in sealed, anti-static packaging and should be kept in the sealed package prior to mounting on a circuit board. The following additional rules should also be observed when handling the modules after they are removed from the factory packaging: 1. Only a person wearing a properly grounded wrist strap should handle the modules. 2. Any work surface that the modules are placed on must be properly ESD grounded. 3. Any insulating materials capable of generating static charge (such as paper) should be kept away from the modules. Static generating clothing should be covered with an ESD-protective smock. 1 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 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 4-Pole, 0.2 dB Ripple Appendix A Chebychev Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.000 0.00 .478 0.10 0.039 -17.3 .487 0.20 0.129 -35.2 .509 0.30 0.195 -54.0 .533 0.40 0.174 -73.4 .547 0.50 0.074 -93.2 .553 0.000 0.60 -113 .575 0.074 0.70 -135 .654 0.199 0.80 -162 .836 0.063 0.85 -178 .947 -0.443 0.90 -196 1.02 .989 0.95 -214 -1.47 .873 1.00 -231 -3.01 .583 1.10 -257 -6.89 .385 1.20 -274 -10.8 .271 1.30 -286 -14.5 1.40 -17.7 -294 .202 1.50 -20.7 -300 .158 1.60 -23.4 -306 .128 1.70 -25.8 -310 .107 1.80 -28.1 -313 .090 -30.2 1.90 -316 .078 -32.2 2.00 -319 .068 -36.7 -324 2.25 .051 -40.6 -328 2.50 .039 -44.1 -331 2.75 .032 3.00 -47.3 -334 .026 3.25 -50.2 -336 .022 3.50 -52.8 -338 .018 4.00 -57.6 -341 .014 5.00 -65.5 -345 .009 -71.9 6.00 -347 .006 -77.3 7.00 -349 .004 -82.0 8.00 -351 .003 -86.1 9.00 -352 .003 -89.8 10.0 -352 .002 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 810.0 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 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 Appendix A Chebychev Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .476 0.10 0.087 -17.3 .492 0.20 0.295 -35.7 .533 0.30 0.474 -55.7 .577 0.40 0.463 -76.9 .596 0.50 0.248 -98.2 .583 0.60 0.025 -119 .578 0.70 0.072 -141 .647 0.80 0.432 -168 .881 0.85 0.482 -185 1.06 0.90 0.062 -205 1.18 0.95 -1.12 -226 1.13 1.00 -3.01 -245 .946 1.10 -7.61 -272 .559 1.20 -12.0 -288 .345 1.30 -15.9 -298 .235 1.40 -19.3 -305 .173 1.50 -22.4 -311 .134 1.60 -25.1 -315 .108 1.70 -27.6 -318 .089 1.80 -29.9 -321 .075 -32.1 1.90 -324 .065 -34.1 2.00 -326 .057 -38.6 2.25 -301 .042 -42.6 2.50 -334 .033 -46.1 2.75 -336 .026 3.00 -49.3 -339 .021 3.25 -52.2 -340 .018 3.50 -54.9 -342 .015 4.00 -59.7 -344 .011 5.00 -67.6 -347 .007 6.00 -74.0 -350 .005 7.00 -79.4 -351 .004 8.00 -84.1 -352 .003 9.00 -88.2 -353 .002 10.0 -91.9 -354 .002 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 2 3 4 5 6 78 1.0 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 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 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 4-Pole, 0.2 dB Ripple Appendix A Chebychev Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -89.8 352 .212 -65.1 0.20 345 .218 -51.1 0.30 337 .228 -40.6 0.40 328 .245 -32.2 0.50 319 .272 -25.0 0.60 308 .314 -18.6 0.70 296 .383 -12.7 0.80 280 .500 -7.34 0.90 259 .686 -3.01 1.00 231 .873 .633 1.20 172 .140 .275 1.50 128 .031 .197 1.70 111 .003 .138 2.00 93.2 .074 .088 2.50 73.4 .174 3.00 .200 60.4 .060 4.00 .170 44.5 .033 5.00 .129 35.2 .020 .098 6.00 29.2 .014 7.00 .076 24.9 .010 .060 8.00 21.7 .008 .048 9.00 19.3 .006 .040 10.0 17.3 .005 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 8 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 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 Appendix A Chebychev Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.10 -91.9 354 .174 -67.6 0.20 347 .179 -53.1 0.30 341 .188 -42.6 0.40 334 .203 -34.1 0.50 326 .226 -26.8 0.60 317 .263 -20.2 0.70 307 .326 -14.0 0.80 293 .440 -8.13 0.90 274 .651 -3.01 1.00 245 .946 .693 1.20 179 .500 .271 1.50 133 .014 .199 1.70 117 .043 .146 2.00 98.2 .249 .095 2.50 76.9 .469 3.00 .498 62.7 .065 4.00 .401 45.5 .035 5.00 .296 35.7 .021 .221 6.00 29.4 .014 7.00 .169 25.0 .010 .133 8.00 21.8 .008 .107 9.00 19.3 .006 .088 10.0 17.3 .005 Frequency Response Amp (dB) 0 -20 -40 -60 -80 -100 0.1 2 3 4 5 6 78 2 3 4 5 6 78 1.0 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 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