alleryStart learning →An LTI system is BIBO stable if and only if its impulse response h(t) satisfies which condition?
Ah(t) is periodic with bounded period
Bh(t) is monotonically increasing
Ch(t) has finite peak value only
D∫|h(t)|dt over all t is finite
Answer & Solution
Correct answer: D. ∫|h(t)|dt over all t is finite
BIBO theorem (Oppenheim Ch.2): for any bounded input |x|≤Mx, output is bounded iff h is absolutely integrable.
**Discrete analogue:** Σ|h[n]| < ∞.
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