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If a continuous time signal x(t) with spectrum X(F) is sampled at a rate Fs=1/T samples per second, the spectrum of the sampled signal is _____________(a) Non periodic repetition(b) Non periodic non-repetition(c) Periodic repetition(d) None of the mentionedThis question was addressed to me in a national level competition.This question is from IIR Filter Design by Impulse Invariance in chapter Digital Filters Design of Digital Signal Processing

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Right ANSWER is (C) Periodic repetition

Best EXPLANATION: When a continuous TIME signal x(t) with SPECTRUM X(F) is sampled at a rate Fs=1/T samples per second, the spectrum of the sampled signal is periodic repetition.



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