EC > GATE 2026 > Sampling
Two analog signals x1(t) and x2(t) (t in second), are sampled at a rate Fs = 40 Hz, where
x1(t) = cos(20πt), t ≥ 0, and x2(t) = cos(100πt), t ≥ 0.
The first ten samples (starting from t = 0) are considered for the analysis.
Which of the following statements is TRUE?
A
All of the first three samples of x1(t) are greater than the corresponding samples of x2(t).
B
All of the last three samples of x1(t) are greater than the corresponding samples of x2(t).
C
All of the samples of x2(t) are greater than the corresponding samples of x1(t).
D
All of the fourth to seventh samples of x1(t) are equal to the corresponding samples of x2(t).

Correct :

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sampling signals analog signals GATE EC 2026 sampling theorem cosine signals signal comparison EC gate signal analysis

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