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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/2The 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

Answer»

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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