1.

Given the z-transform pair\(X[n] \leftrightarrow \frac{32}{z^2-16}\), |z|<4The z-transform of the signal y[n] = \(\frac{1}{2^n}\) x[n] is _________

A. \(\frac{(z+2)^2}{(z+2)^2-16}\)
B. \(\frac{z^2}{z^2-4}\)
C. \(\frac{(z-2)^2}{(z-2)^2-16}\)
D. \(\frac{z^2}{z^2-64}\)
Answer» C. \(\frac{(z-2)^2}{(z-2)^2-16}\)


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