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A first order analog low pass Butterworth filter has a -3dB frequency of 2.5kHz and a DC gain of unity.

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A first order analog low pass

Butterworth filter has a -3dB frequency of 2.5kHz and a DC gain of unity.

a. Use a bilinear transformation to find a digital filter H(z) to match the analog filter for a sampling rate of 8kHz with and without prewarping.

b. Plot the magnitude response for both filters obtained in (a)

 
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