Question: Consider down-sampling the impulse response h[n] of a filter with transfer function H(z) = 1/(1 0.5z 1 ). (a) Use MATLAB to plot h[n]

Consider down-sampling the impulse response h[n] of a filter with transfer function H(z) = 1/(1 − 0.5z−1).

(a) Use MATLAB to plot h[n] and the down-sampled impulse response g[n] = h[2n].

(b) Plot the magnitude responses corresponding to h[n] and g[n] and comment on the effect of the down-sampling. Is G(ejω) = 0.5H(ejω/2)? Explain.

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a The impulse response hn 05 n un and so the down sampled impulse response is gn h2n 052 ... View full answer

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