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A discrete time system has impulse response h[n] = αnu(n + 2), |α| < 1. Which one of the following is correct?
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- stable, causal and memory less
- unstable, causal and has memory
- stable, non-causal and has memory
- unstable, non-causal and has memory less
Correct Option: C
Given
h(n) = an u(n + 2), |a| < 1
● As given that |a| < 1, therefore, the system is obviously stable.
● Non-causal since output depends upon the future value for any value of n.
● Given system possess memory,
Hence, alternative (C) is the correct choice.
