Hd(w) = 1. 1 44.w| 30.2π
A derive desired frequency response is shown below in the image. It is a discrete time system that helps compensate for nonidealities in an analog microphone.
a) Use a frequency sampling method to design a length 7 FIR, linear phase filter to approximate the desired frequency resopnse Hd(w). Show all work or MATLAB code
b) Plot the impulse response h[n]
c) In one figure, plot the desired magnitude response |Hd(w)| and the actual designed magnitude response |H(w)|. Then use a stem plot to indicate the frequency samples at which the two agree.
d) Plot the phase response angle H(w)
e) If the system were to be used in a real time application it would be importnat to keep the total system delay below approximately 100 ms. How much delay (in seconds) is introduced by the FIR filter in part a. The A/D sampling frequency is Fs = 44kHz
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