Consider the FIR filter y(n) x(n) x(n 4) (a) Compute and sketch its magnitude and phase response (b) Compute its response to the input x(n) cos 2n cos 4n n (c) Explain the results obtained in part (b) in terms of the magnitude and phase responses obtained in part (a)

Question: Consider the FIR filter y(n) = x(n) + x(n 4) (a) Compute and sketch its magnitude and phase response. (b) Compute its response to

Consider the FIR filter
y(n) = x(n) + x(n – 4)
(a) Compute and sketch its magnitude and phase response.
(b) Compute its response to the input
x(n) = cos π/2n + cos π/4n -∞ < n < ∞
(c) Explain the results obtained in part (b) in terms of the magnitude and phase responses obtained in part (a).

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