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Is the function y[n] = y[n-1] + x[n] stable in nature?

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in Signals and Systems by (1.2m points)
Is the function y[n] = y[n-1] + x[n] stable in nature?

(a) It is stable

(b) It is unstable

(c) Both stable and unstable

(d) None of the mentioned

I had been asked this question during an interview.

This interesting question is from Discrete Time Signals in division Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Right answer is (a) It is stable

Explanation: It is BIBO stable in nature, i.e. bounded input-bounded output stable.

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