Problem

Assume that x[n] is real and even; i.e., x[n] = x[−n]. Further, assume that z0 is a zero...

Assume that x[n] is real and even; i.e., x[n] = x[−n]. Further, assume that z0 is a zero of X(z); i.e., X(z0) = 0.

(a) Show that 1/z0 is also a zero of X(z).

(b) Are there other zeros of X(z) implied by the information given?

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