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A continuous-time function x(t) is periodic with period T. The function is sampled uniformly with a sampling period Ts. In which one of the following cases is the sampled signal periodic?
1. \({\rm{T\;}} = {\rm{\;}}\sqrt 2 {\rm{\;Ts}}\)
2. T = 1.2 Ts
3. Always 
4. Never

1 Answer

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Correct Answer - Option 2 : T = 1.2 Ts

A continuous time signal x(t) is periodic with period T and sampling period Ts.

As we know that , 

 sampling frequency f k fs 

So,

      Ts < T 

where, k is constant and it is integer.

Therefore, from the option T = 1.2 Ts is valid.

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