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Q#1 Sampling GATE EE 2026 MCQ +1 mark -0.33 marks

Let  be any continuous-time periodic signal with period . It is sampled uniformly with a sampling period  where , resulting in the discrete sequence , where  is an integer.

Which one of the following statements is correct about  ?

 will always be periodic with period  for all values of

 will always be periodic with period 1 for all values of

 will never be periodic

 will be periodic if and only if  is a rational number

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