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Is y[n] = n*cos(n*pi/4)u[n] a stable system?

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+1 vote
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in Signals and Systems by (1.2m points)
Is y[n] = n*cos(n*pi/4)u[n] a stable system?

(a) Yes

(b) No

(c) Marginally stable

(d) None of the mentioned

This question was addressed to me during an interview for a job.

My doubt stems from Properties of LTI Systems topic in division Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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

Best explanation: The ‘n’ term in the y[n] will dominate as it reaches to infinity, and hence could reach infinite values.

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