424 Series 10 Hz to 102.4 kHz 4-Bit Programmable 32-Pin DIP 4-Pole Filters Description The 424 Series are 4-pole digitally programmable low-pass and high-pass active filters. These new filters take advantage of the company’s proprietary designs using surface-mount technology to provide a low profile, compact package in minimal board space. 424 filters are factory tuned to one of ten preset 4-bit binary ranges from 10 Hz to 102.4 kHz. Contact the factory for custom discrete tuning ranges, maximum span 1000:1. All 424 Series models are easy to use fully finished filters which require no external components or adjustment. They feature low harmonic distortion, near theoretical phase and amplitude characteristics and operate over a dynamic input voltage range from non-critical ±12V to ±18V power supplies. Features/Benefits: • Low harmonic distortion and wide signal-to-noise ratio to 16-bit resolution. • Compact 1.8"L x 0.8"W x 0.3"H min. (32-pin DIP footprint) minimizes board space requirements. • 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 tuned, no external clocks or adjustments needed • Broad range of transfer characteristics and corner frequencies to meet a wide range of applications. Applications • Anti-alias filtering • Data acquisition systems • Communication systems and electronics • Medical electronics equipment and research • Aerospace, navigation and sonar applications • Acoustic and vibration analysis and control • Real and compressed time data analysis • Noise elimination • Signal reconstruction Programmable Specifications. . . . . . . . . . . . . . Page Digital Tuning & Control . . . . . . . . . . . . . . . . . . . . . . 2 Available Low-Pass Models: . . . . . . . . . . . . . . . . . . . 424L4B 4-pole Butterworth . . . . . . . . . . . . . . . . . . 3 424L4L 4-pole Bessel . . . . . . . . . . . . . . . . . . . . . . 3 424L4Y2 4-pole Cheby (0.2 dB Ripple) . . . . . . . . . . 3 424L4Y5 4-pole Cheby (0.5 dB Ripple) . . . . . . . . . . 3 Available High-Pass Models: . . . . . . . . . . . . . . . . . . 424H4B 4-pole Butterworth . . . . . . . . . . . . . . . . . . 4 424H4Y2 4-pole Cheby (0.2 dB Ripple) . . . . . . . . . . 4 424H4Y5 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 424 Series Digital Tuning & Control Characteristics 4-Bit Programmable Filters Digital Tuning Characteristics Pin-Out Key The digital tuning interface circuits are a parallel set of CMOS switches which accept CMOS compatible inputs for the four tuning bits (D0 - D3). IN 20 D0 0 1 1 1 1 Bit Weight fc - corner frequency fmax/16 fmax/8 fmax/4 fmax/2 fmax D1 0 0 1 1 1 D2 0 0 0 1 1 Tuning Bit 0 (LSB) -Vs Supply Voltage, Negative +5V Logic Power Os Offset Adjustment D0 Bottom View Gnd Os4 -Vs +Vs Out D0 D1 +5V In D2 D3 0.00 0.10 0.00 Data Input Specifications Discrete Frequencies D0 0 1 1 1 1 Supply Voltage, Positive 0.80 0.70 Binary Tuning Equation: fc = (fmax/16) [1+ D3 x 23 + D2 x 22 + D1 x 21 + D0 x 20] where D1 - D3 = “0” or “1”, and fmax = Maximum tuning frequency fc = Corner frequency; Minimum tunable frequency = fmax/16 (D0 thru D3 = 0); Minimum frequency step (Resolution) = fmax /16 F FB F1 F2 F3 F4 +Vs 1.80 21 D1 0 0 1 1 1 Tuning Bit 1 1.50 1.60 22 D2 0 0 0 1 1 GND Power and Signal Return D1 1.30 23 D3 0 0 0 0 1 Tuning Bit 2 0.80 0.90 1.00 1.10 LSB D2 0.50 --- Tuning Bit 3 (MSB) 0.30 --- D3 OUT Analog Output Signal Binary Tuning Range MSB Analog Input Signal D3 0 0 0 0 1 Input Data Levels Discrete Tuning Equation: fc = FB + D0[Df0] + D1[Df1] + D2[Df2] + D3[Df3] Df0, Df1, Df2, Df3 are the incremental frequency shifts for the data bits D0, D1, D2 and D3. They are selected to realize the five customer specified programming frequencies FB fi F4. Other programming codes produce valid fc’s between FB and F4. (+5Vdc CMOS Logic) Input Voltage (Vs=15 Vdc) Low Level In High Level In 0 Vdc min. 3.5 Vdc min. 0.5 Vdc max. 5.0 Vdc max. Input Current High Level In Low Level In -0.4mA typ. +0.4mA typ. -2.0mA max. +2.0mA max. Input Capacitance 20 pF typ. 30 pF max. Input Data Format Positive Logic Frequency Select Bits Logic “1” = (+5Vdc) Logic “0” = Gnd Bit Weight D0 D3 (Binary-Coded) LSB (least significant bit) MSB (most significant bit) Frequency Range16:1 Binary Weighted 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 424 Series 4-Pole Low-Pass Filters 4-Bit Programmable Model 424L4B 424L4L 424L4Y2 424L4Y5 Transfer Function 4-Pole, Butterworth 4-Pole, Bessel 4-Pole, Chebychev, 0.2 dB Ripple 4-Pole, Chebychev, 0.5 dB Ripple Size 0.8” x 1.8” x 0.3” 0.8" x 1.8" x 0.3" 0.8" x 1.8" x 0.3" 0.8" x 1.8" x 0.3" Range fc 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 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 0.20 dB 0.50 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 min. 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 Amplitude Accuracy (theoretical) ± 2% max. 0.80 fc 1.00 fc 2.37 fc 3.16 fc 0 - 0.8 fc ± 2° max. ± 1° typ. 0.8 fc - 1.0 fc ± 3° max. ± 1.5° typ. 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. fc ± 0.01% /°C -3 dB -121° ± 2% max. 1.86 dB 3.01 dB 30.0 dB 40.0 dB 0.80 fc 1.00 fc 3.50 fc 4.72 fc 0 - fc ± 2° max. ± 1° typ. fc ± 0.01% /°C -3 dB -231° -0.20 dB 3.01 dB 30.0 dB 40.0 dB 0 - 0.8 fc 0.8 fc - 1.0 fc 0 - fc ± 2% max. 0.80 fc 1.00 fc 1.89 fc 2.46 fc ± 2° max. ± 1° typ. ± 3° max. ± 1.5° typ. fc ± 0.01% /°C -3 dB -245° ± 2% max. -0.43 dB 3.01 dB 30.0 dB 40.0 dB 0 - 0.8 fc 0.8 fc - 1.0 fc ± 0.2 dB max. 0 - 0.8 fc ± 0.2 dB max. 0 - 0.8 fc ± 0.1 dB typ. ± 0.1 dB typ. 0.8 fc - 1.0 fc ± 0.3 dB max. 0.8 fc - 1.0 fc ± 0.15 dB typ. 0.80 fc 1.00 fc 1.80 fc 2.33 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. Total Harmonic Distortion @ 1 kHz < - 100 dB typ. < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. Wide Band Noise 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-02A FMA-02A FMA-02A FMA-02A (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 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com 424 Series 4-Pole High-Pass Filters 4-Bit Programmable Model 424H4B 424H4Y2 424H4Y5 Transfer Function 4-Pole, Butterworth 4-Pole, Chebychev, 0.2 dB Ripple 4-Pole, Chebychev, 0.5 dB Ripple Size 0.8” x 1.8” x 0.3” 0.8" x 1.8" x 0.3" 0.8" x 1.8" x 0.3" Range fc 10.0 Hz to 102.4 kHz 10.0 Hz to 102.4 kHz 10.0 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 0.20 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 Phase Match1 fc - 100 kHz ± 3° max. ± 1.5° typ. Amplitude Accuracy 1.0 - 1.25 fc (theoretical) fc ± 0.01% /°C -3 dB -231° ± 2% max. 40.0 dB 30.0 dB 3.01 dB -0.07 dB fc - 100 kHz ± 0.3 dB max. 1.0 - 1.25 fc ± 0.15 dB typ. 1.25 fc -100 kHz ± 0.2 dB max. 1.25 fc -100 kHz ± 0.1 dB max. 0.41 fc 0.53 fc 1.00 fc 2.00 fc ± 3° max. ± 1.5° typ. fc ± 0.01% /°C -3 dB -245° ± 2% max. 40.0 dB 30.0 dB 3.01 dB -0.25 dB fc - 100 kHz 0.43 fc 0.56 fc 1.00 fc 2.00 fc ± 3° max. ± 1.5° typ. ± 0.3 dB max. 1.0 - 1.25 fc ± 0.3 dB max. ± 0.15 dB typ. ± 0.15 dB typ. ± 0.2 dB max. 1.25 fc -100 kHz ± 0.2 dB max. ± 0.1 dB typ. ± 0.1 dB typ. Total Harmonic Distortion @ 1kHz < - 100 dB typ. < - 88 dB typ. < - 88 dB typ. Wide Band Noise 400 mVrms typ. 400 mVrms typ. 400 mVrms typ. 100 mVrms typ. 100 mVrms typ. 100 mVrms typ. FMA-02A FMA-02A FMA-02A (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. 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 424 Series Pin-Out and Package Data Ordering Information Specification (25°C and Vs ± 15 Vdc) Bottom View 0.80 0.70 Gnd Os4 -Vs +Vs Out D0 D1 +5V In D2 D3 1.80 1.50 1.60 1.30 0.80 0.90 1.00 1.10 0.10 0.00 ±15 Vdc ±12 to ±18 Vdc ±18 Vdc Temperature Operating Storage 0.15 min. 0.025 Dia. Alldimensions dimensions are inches All arein in inches Allcase case dimensions ±0.02" All dimensions ±0.02 11 W typ. 10 W max. ±10V ±2 mA 22 mV typ. 20 mV max. 50 mV/°C ±13 mA typ. ±20 mA max. (Side View) 424 0.00 0.50 Offset Temp. Coeff. Power Supply (±V) Rated Voltage Operating Range Maximum Safe Voltage Quiescent Current 4-Pole 0.30 0.30 Linear Operating Range Maximum Current2 Offset Voltage3 Pin-Out & Package Data 10 k W min. ± 10 Vpeak ±Vs 0.00 Analog Input Characteristics1 Impedance Voltage Range Max. Safe Voltage Analog Output Characteristics Impedance (Closed Loop) Filter Mounting Assembly-See FMA-02A Ordering Information Filter Type 424 Transfer Function L - Low Pass H - High Pass B - Butterworth L - Bessel Y2 - 0.2 Ripple Chebychev Y5 - 0.5 Ripple Chebychev -20 to +70°C -25 to +85°C 424 L4L-7 Model Number Notes: Binary Tuning Ranges Model Tuning *Minimum Number Range (Hz) Step (Hz) 1 10-160 10 2 25-400 25 3 50-800 50 4 100-1.60k 100 5 250-4.00k 250 6 500-8.00k 500 7 1.00k-16.0k 1.00k 8 2.50k-40.0k 2.50k 9 5.00k-80.0k 5.00k 10 6.40k-102.4k 6.40k 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 Do not connect if trim is not required. 20 k W (Cermet) *Contact factory for custom step frequency. Maximum step 6.40 kHz. Discrete Frequency’s Customer must specify f1 ,f2 ,f3, f4,f5. Maximum span f1 fi f5 1,000:1. OS - 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-00424-01 5 25 Locust St, Haverhill, Massachusetts 01830 • Tel: 800/252-7074, 978/374-0761 • FAX: 978/521-1839 e-mail: [email protected] • Web Address: http://www.freqdev.com Low-Pass 4-Pole Appendix A Bessel Theoretical Transfer Characteristics 1 f/fc Amp Phase Delay (Hz) (dB) (deg) (sec) 0.00 0.00 0.00 .336 0.10 -0.028 -12.1 .336 0.20 -0.111 -24.2 .336 0.30 -0.251 -36.3 .336 0.40 -0.448 -48.4 .336 0.50 -0.705 -60.6 .336 0.60 -1.02 -72.7 .336 0.70 -1.41 -84.8 .336 0.80 -1.86 -96.8 .335 0.85 -2.11 -103 .334 0.90 -2.40 -109 .333 0.95 -2.69 -115 .332 1.00 -3.01 -121 .330 1.10 -3.71 -133 .325 1.20 -4.51 -144 .318 1.30 -5.39 -156 .308 -166 1.40 -6.37 .295 -177 1.50 -7.42 .280 -187 1.60 -8.54 .263 -195 1.70 -9.71 .246 -204 1.80 -10.9 .228 1.90 -12.2 -212 .211 2.00 -13.4 -219 .194 2.25 -16.5 -235 .158 2.50 -19.5 -248 .129 2.75 -22.4 -259 .107 -267 3.00 -25.1 .089 -275 3.25 -27.6 .076 -281 3.50 -30.0 .065 -291 4.00 -34.4 .049 -305 5.00 -41.9 .031 6.00 -315 .021 -48.1 7.00 -321 .016 -53.4 8.00 -326 .012 -58.0 9.00 -330 .009 -62.0 10.0 -333 .008 -65.7 Frequency Response Amp (dB) 0 -40 -60 -80 -100 0.1 2 3 4 5 6 78 1.0 2 3 4 5 6 7 10.0 Normalized Frequency(f/fc) Delay (Normalized) Delay (sec) 1.0 0.5 0.0 0.1 0.15 2 3 4 5 6 7 89 1.0 1.5 Normalized Time (1/f sec) Step Response (V/V) Step Response 1.Normalized Group Delay: The above delay data is normalized to a corner frequency of 1.0Hz.The actual delay is the normalized delay divided by the actual corner frequency (fc). Actual Delay = -20 1.2 1.0 0.8 0.6 0.4 0.2 -0.0 -0.2 0 1 2 3 4 Normalized Time (1/f sec) Normalized Delay Actual Corner Frequency (fc) in Hz 2 25 Locust St., Haverhill, Massachusetts 01830 ∑Tel :800/252-7074, 978/374-0761 ∑FAX:978/521-1839 e-mail: [email protected] ∑Web Address: http://www.freqdev.com ∑Fax on Demand: 978/521-5178 5 Low-Pass 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