GATE EC 2016 Set 3 — Question 18
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Signals & Systems → Discrete-Time Signals → Z-Transform
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Question
A discrete-time signal has z-transform . If is the z-transform of another signal , then
Correct answer
(C) y[n] = -x[n]
Solution
The property of the z-transform states that if , then .
Given , it follows that .
For the given signal :
.
Given , it follows that .
For the given signal :
.
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