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Signals and Systems - Engineering

Q1:

The z- transform of a systerm is If the ROC is |z| < 0.2, then the impluse response of the system is

A (0.2)n ∪[n]

B (0.2)n ∪[- n - 1]

C -(0.2)n ∪[n]

D -(0.2)n ∪[- n - 1]

ANS:D - -(0.2)n ∪[- n - 1]

ROC is |z| < 0.2, which shows x(n) must be non-causal, therefore sequence must be left handed. But given is z-transform of right handed sequence. But if H(z) become then ROC become |z| < 0.2 and inverse z-transform of is - (0.2)n ∪(- n - 1).