Consider the signal x[n] = 0.5(1+ [1] n ) u[n] (a) Plot x[n]and use the sum definition
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Consider the signal x[n] = 0.5(1+ [−1]n) u[n]
(a) Plot x[n]and use the sum definition of the Z-transform to obtain its Z-transform, X(z).
(b) Use the linearity property and the Z-transforms of u[n]and [−1]n u[n] to find the Z-transform X(z) = Z[x[n]]. Compare this result with the previous one.
(c) Determine and plot the poles and zeros of X(z).
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