We process the signal x[n] = cos(0.3πn) with a unity-gain all-pass LTI system, with frequency response w = H(ejω) and a group delay of 4 samples at frequency ω= 0.3π, to get the output y[n]. We also know that ∠H(ej0.3π ) =θ and ∠H(e−j0.3) = −θ. Choose the most accurate statement:
(a) y[n] = cos(0.3πn + θ)
(b) y[n] = cos(0.3π(n − 4) + θ)
(c) y[n] = cos(0.3π(n − 4 − θ))
(d) y[n] = cos(0.3π(n − 4))
(e) y[n] = cos(0.3π(n − 4 + θ)).
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