Reference no: EM131594717

Question: Determine the transfer function of the four implementations: (a) Butterworth, (b) Type I Chebyshev, (c) Type II Chebyshev, and (d) elliptic, of the highpass filter specified in Problem using MATLAB. Plot the frequency characteristics and confirm that the specifications are satisfied by the designed implementations.

Problem: Design a Butterworth highpass filter for the following specifications:

stop band (0 ≤ |ω| ≤ 15 radians/s) |H(ω)| ≤ 0.15;

pass band (|ω| > 30 radians/s) 0.85 ≤ |H(ω)| ≤ 1;

Sketch the magnitude spectrum and confirm that it satisfies the design specifications.