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The impulse response h[n] of a linear time-invariant system is given by
h[n] = u[n + 3] + u[n – 2] – 2u[n – 7]
where u[n] is the unit step sequence. The above system is—
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- stable but not causal
- stable and causal
- causal but unstable
- unstable and not causal
Correct Option: A
The given impulse response of a system
h[n] = u[n + 3] + u[n – 2] – 2u[n – 7]
The given system equation is non-causal for any value of n, since output depends upon the future input.
The given system is stable.
