The impulse response of an FIR filter is h[n] = (1/3) ([n] + [n 1] +[n

The impulse response of an FIR filter is h[n] = (1/3) (δ[n] + δ[n − 1] +δ[n − 2]).

(a) Find the frequency response H(e^jω), and determine the magnitude  and the phase responses for − π < ω ≤ π.

(b) Find poles and zeros of the transfer function H(z) of this filter and  determine its region of convergence.

(c) At what frequencies {ω_i} is H(e^jωi) = 0?

(d) Would unwrapping change the phase response? Explain.