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

Consider the FIR filter y (n) = x(n) x (n 4) (a) Computer and sketch

Question:

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