Question: Let x[n] be a causal, N-point sequence that is zero outside the range 0 ? n ? N ? 1. When x[n] is the input

Let x[n] be a causal, N-point sequence that is zero outside the range 0 ? n ? N ? 1. When x[n] is the input to the causal LTI system represented by the difference equation?

y[n] ? ? y[n ? 2] = x[n ? 2] ? ? x[n],

the output is y[n], also a causal, N-point sequence.

(a) Show that the causal LTI system described by this difference equation represents an all-pass filter.

(b) Given that?

N-1 > x[n]]? = 5, n-0 Determine the value of N-1 l.

N-1 > x[n]]? = 5, n-0 Determine the value of N-1 l. n=0

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