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Does the system h(t) = exp([1-4j]t) correspond to a stable system?

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in Signals and Systems by (1.2m points)
Does the system h(t) = exp([1-4j]t) correspond to a stable system?

(a) Yes

(b) No

(c) Marginally Stable

(d) None of the mentioned

I had been asked this question at a job interview.

My question comes from Properties of LTI Systems in portion Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

0 votes
by (42.1k points)
Right choice is (b) No

Explanation: The system corresponds to an unstable system, as the Re(exp) term is a positive quantity.

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