19-HW-HP Chebyshev Design ans

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Purdue University *

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30400

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Electrical Engineering

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Jan 9, 2024

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ECET 337 Fourth Order 3dB Chebyshev High-pass Filter Homework 1. Write your student number here. 32850764 2. Design a fourth order high pass filter with the following parameters: C= 10 nF Order 4th Damping: 3dB Chebyshev α 1 = 0.929 k LP1 = 2.349 k HP1 = 0.425 α 2 = 0.179 k LP2 = 1.095 k HP2 = 0.913 A o = second nonzero digit of your student number = 2 f -3dB = third nonzero digit of your student number * 1 kHz = 8 kHz 3. Write the transfer function with parameter constants. a. Enter the transfer function with parameter values into Multisim or Matlab. b. In Multisim, perform an AC Sweep, pick a reasonable frequency range, and scale the vertical axis in dB. In Matlab do a ltiview analysis. c. Produce the Bode plot. Place cursors to show: 1) A o . 2) f -3dB. 3) roll-off rate in dB/octave. 4) f o . d. Produce a table that compares the theory and the simulation results for these 4 parameters. Theory Simulation Transfer A o 2 1.995 1.963 f -3dB 8000 8010 7917 roll-off rate in dB/octave 24 25.9 25.82 1) e. Produce and submit the response of your circuit to a step . Adjust the simulation source, type, and parameters as necessary to produce a good plot with enough data points to give a smooth output waveform
4. Design the circuit using a Sallen Key configuration with a TL084 and + 15 V supplies. Draw the schematic in Multisim, and add all of your calculations to convert the parameters to component values. 5. Run and submit an AC analysis (Do not use the Bode plotter). Place cursors to show: 1) A o . 2) f -3dB. 3) roll-off rate in dB/octave. 4) f o .
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Add a column to the table to compare the theory and transfer function results with the circuit implementation.