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Signal and systems miscellaneous
  1. For the question 88, what will be inverse z-transform for
    ROC, |z| <
    1
    2
    1. 2
      		δ(n) –
      1
      		nu(– n – 1) +
      1
      		(3)n u(– n – 1)
      32 3
    2. 2
      		δ(n) +
      1
      		nu(– n – 1) –
      1
      		(3)n u(– n – 1)
      32 3
    3. 2
      		δ(n) +
      1
      		nu(n) –
      1
      		(3)n u(n)
      32 3
    4. 2
      		δ(n) +
      1
      		nu(n) +
      1
      		(3)n u(n)
      32 3
Correct Option: B

In the region |z| <
1
3, both the poles are exterior,
2

i.e., x(n) is anti-causal and hence
X(n) =
2
δ(n) +
1
nu(– n – 1) –
1
(3)n u(– n – 1)
32 3


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