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Question

# A discrete time system has impulse response, h(n)=bn u(n+1), |b|<1. Which one of the following statement is correct ?

A
unstable, causal and has memory
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B
unstable, non-causal and memory less.
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C
stable, causal and memory less.
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D
stable, non- causal and has memory
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Solution

## The correct option is D stable, non- causal and has memoryh(n)=bn u(n+1), |b|<1 It is stable because, ∞∑n=−∞h(n)=∞∑n=−1bn isfinite It is non - causal because h(n) exists from n=−1 to n=∞. It has memory because h(n) is depending upon u(n +1).

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