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When a system is such that the square sum of its impulse response tends to infinity when summed over all real time space,

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in Signals and Systems by (1.2m points)
When a system is such that the square sum of its impulse response tends to infinity when summed over all real time space,

(a) System is marginally stable

(b) System is unstable

(c) System is stable

(d) None of the mentioned

This question was addressed to me during an internship interview.

Origin of the question is BIBO Stability topic in portion Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Right choice is (b) System is unstable

To explain I would say: The system turns out to be unstable. Only if it is zero/finite it is stable.

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