1. (a) Draw the pole-zero pattern for the signal x₁(n) = (rn sin won)u(n), 0

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1. (a) Draw the pole-zero pattern for the signal
x₁(n) = (rn sin won)u(n),
0<r<1
[3]
(b) Compute the z-transform X2 (z), which corresponds to the pole-zero pattern in part
(a).
[3]
(c) Compare X₁(z) with X₂(z). Are they identical? If not, indicate a method to derive
X₁(z) from the pole-zero pattern.
[4]
Transcribed Image Text:1. (a) Draw the pole-zero pattern for the signal x₁(n) = (rn sin won)u(n), 0<r<1 [3] (b) Compute the z-transform X2 (z), which corresponds to the pole-zero pattern in part (a). [3] (c) Compare X₁(z) with X₂(z). Are they identical? If not, indicate a method to derive X₁(z) from the pole-zero pattern. [4]
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