Consider the following low-pass filter specifications max = 0.1 dB min = 60 dB

Consider the following low-pass filter specifications

α_max = 0.1 dB α_min = 60 dB

Ω_p = 1000 rad/sec Ω_s = 2000 rad/sec

(a) Use MATLAB to design a Chebyshev low-pass filter that satisfies the above specifications. Plot the poles and zeros and the magnitude and phase of the designed filter. Verify by plotting the loss function that the specifications are satisfied.

(b) Compute the half-power frequency of the designed filter.