Electrical Engineering > GATE 2026 > Sampling
Let xc(t) be any continuous-time periodic signal with period T. It is sampled uniformly with a sampling period Ts where Ts ≠ T, resulting in the discrete sequence x[n] = xc(nTs), where n is an integer.
Which one of the following statements is correct about x[n]?
A
x[n] will always be periodic with period T/Ts for all values of T/Ts
B
x[n] will always be periodic with period 1 for all values of T/Ts
C
x[n] will never be periodic
D
x[n] will be periodic if and only if T/Ts is a rational number

Correct : d

Similar Questions

Consider the two continuous-time signals defined below: These signals are sampled with a sampling period of T = 0.25 seconds to obtain discrete-time...
#401 MCQ
The output y(t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is
#530 MCQ
Suppose the maximum frequency in a band-limited signal x(t) is 5 kHz. Then, the maximum frequency in x(t)cos(2000πt), in kHz, is ________.
#629 Fill in the Blanks

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: