Physics · Signals and Systems
Which of the following statements is true for a discrete-time Linear Time-Invariant (LTI) system?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If the impulse response satisfies 0 < |h[n]| < 1 for all n, then the LTI system is guaranteed to be stable.
- 2If a discrete-time LTI system has an impulse response h[n] of finite duration, the system is always unstable.
- 3A discrete-time LTI system is causal if and only if its response to a step input u[n] is 0 for n < 0.✓
- 4If an LTI system is causal, it is always stable.
Correct answer
A discrete-time LTI system is causal if and only if its response to a step input u[n] is 0 for n < 0.
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