A signal y(t) = 1.0*sin(2 pi*20t), select proper sampling frequencies to illustr

Question

A signal y(t) = 1.0*sin(2 pi*20t), select proper sampling frequencies to illustrate the following sampling effects: A sampling period that is fast enough for accurate sampling and does not violate the sampling theorem A sampling period that illustrates aliasing problem as a result of sampling. A sampling period that illustrates the beat phenomenon as a result of sampling. A sampling period that illustrates the hidden oscillations problem as a result of sampling. Explain the reasons of your selections.

Explanation / Answer

Fm= signal frequency=20 hz,

(1) fs= sampling frequency more than 2*fm= 60 hz.

(2)fs= sampling frequency less than 2*fm=12 hz

(3) for fb= beat frequency , fs=25 hz,

Fb= beat frequency= fs-fm, fs+FM

Fb=5hz, 30 hz.

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