Computer · Signals and Systems - Stability
A system has an impulse response h(t) = e-tu(t). Is this system Bounded-Input Bounded-Output (BIBO) stable?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Yes, because the impulse response is absolutely integrable: ∫0∞ e-t dt = 1✓
- 2Yes, simply because h(t) is defined by an exponential expression
- 3No, because the integral of |h(t)| over all time diverges
- 4No, because the presence of the step function makes h(t) non-causal
Correct answer
Yes, because the impulse response is absolutely integrable: ∫0∞ e-t dt = 1
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