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GATE > Learn GATE Coaching > A continuous time function x(t) is periodic with period...
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A continuous time function x(t) is periodic with period T. The function is sampled uniformly with a sampling Ts, in which one of the following cases is the sampled signal periodic?

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Mechanical Engineer

T=1.2Ts
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Mechanical Engineer

Consider x(t) = cos w(0) t if x(t) s sampled with a sampling period Ts, x =cos (ohm)(0) n is obtained. (ohm)(0) n/Ts = w(0) 2*pi*m/NoTs = 2*pi/To To/Tm=N0/m, must be a rational number T/Ts=12/10=6/5 lives a periodic signal after sampling
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