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The Z-transform of the signal x(n) = u(– n)
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1 , |Z| < 1 1 – Z -
1 , |Z| > 1 1 – Z -
Z , |Z| > 1 Z – 1 -
Z , |Z| < 1 Z – 1
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Correct Option: A
We know that
| u(n)←→ | , ROC |z| > 1 | z – 1 |
By using time reversal property, we get
| u(n) ←→ | or | or |z| < 1 | ||
| z–1 – 1 | 1 – z |
ROC, |z–1| > 1
or |z|< 1
Hence, alternative (A) is the correct choice.
