Given a filter with impulse response
h[n] = δ[n] + 2δ[n – 1] + δ[n – 2],
(a) Find H(Ω), the DTFT of h[n].
(b) Find the phase of H(Ω) and simplify as much as possible. (Because h[n] is a symmetric, finite impulse response (FIR) filter, H(Ω) has linear phase.)
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