Need some help with this question, do not understand how to do it.
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)