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The auto-correlation function of a rectangular pulse of duration T is

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The auto-correlation function of a rectangular pulse of duration T is

(a) A rectangular pulse of duration T

(b) A rectangular pulse of duration 2T

(c) A triangular pulse of duration T

(d) A triangular pulse of duration 2T

I got this question at a job interview.

My doubt is from The z- and s-Domain Relationship in section Digital Control Systems of Control Systems

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Right option is (d) A triangular pulse of duration 2T

Explanation: The auto-correlation function is the method of correlating the various instants of the signal with itself and that of a rectangular pulse of duration T is a triangular pulse of duration 2T.

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