Problem 4 ,Design a bandpass Butterworth filter with a passband from 200 to 300 Hz with at most 3 dB of passband ripple and at least 30 dB attenuation in the stopbands. Specify a sample rate of 1 kHz. Set the stopband width to 50 Hz on both sides of the passband. a) Find the filter order n and cut-off frequency wn- b) Plot the designed magnitude response dB (Normalized [0-1]). c) Plot the pole-zero plot.

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Problem 4
, Design a bandpass Butterworth filter with a passband from 200
to 300 Hz with at most 3 dB of passband ripple and at least 30 dB attenuation in the
stopbands. Specify a sample rate of 1 kHz. Set the stopband width to 50 Hz on both sides of
the passband.
a) Find the filter order n and cut-off frequency wn.
b) Plot the designed magnitude response dB (Normalized [0-1]).
c) Plot the pole-zero plot.
Transcribed Image Text:Problem 4 , Design a bandpass Butterworth filter with a passband from 200 to 300 Hz with at most 3 dB of passband ripple and at least 30 dB attenuation in the stopbands. Specify a sample rate of 1 kHz. Set the stopband width to 50 Hz on both sides of the passband. a) Find the filter order n and cut-off frequency wn. b) Plot the designed magnitude response dB (Normalized [0-1]). c) Plot the pole-zero plot.
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