Question: Consider a moving average FIR filter with an impulse response Let H(z) be the Z-transform of h[n]. (a) Find the frequency response H(e jÏ )

Consider a moving average FIR filter with an impulse response

Let H(z) be the Z-transform of h[n].

(a) Find the frequency response H(e^jÏ‰) of the FIR filter.

(b) Let the impulse response of a new filter be given by h₁[n] = ( ˆ’ 1)ⁿ h[n], use again the eigenfunction property to find the frequency response H₁(e^jÏ‰) of the new FIR filter.

(c) Use the MATLAB functions freqzand abs to compute the magnitude response of the two filters. Plot them and determine the poles and the zeros of the two filters. What type of filters are these?

h[n] =(8[n] + 8[n – 1]+ 8[n – 2]).

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