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A continuous-time periodic signal x(t), having a period T, is convolved with itself. The resulting signal is

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A continuous-time periodic signal x(t), having a period T, is convolved with itself. The resulting signal is

(a) Not periodic

(b) Periodic having a period T

(c) Periodic having a period 2T

(d) Periodic having a period T/2

The question was posed to me during an interview.

Query is from The Z-transform Analysis of Sampled-Data Control Systems in division Digital Control Systems of Control Systems

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The correct answer is (b) Periodic having a period T

The best I can explain: Periodic having a period T Convolution of a periodic signal (period T) with itself will give the same period T.

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