Sampling of sinusoidal signal: aliasing consider the following continuous-time sinusoidal signal xa(t) = sin2?F01, - ???? t ??? ?

Since xa (t) is described mathematically, its sampled version can be described by values every T seconds. The sampled signal is described by the formula

Where F_s = 1/T is the sampling frequency.

(a) Plot the signal x(n), 0 ? n ? 99 for F_s = 5 kHz and F₀ = 0.5, 2, 3, and 4.5 kHz. Explain the similarities and differences among the various plots.

(b) Suppose that F₀ = 2 kHz and F_s = 50 kHz.

(1) Plot the signal x(n). What is the frequency f₀ of the signal x(n)?

(2) Plot the signal y(n) created by taking the even-numbered samples of x(n). Is this a sinusoidal signal? Why? If so, what is its frequency??

Transcribed Image Text:

Fo x(nT) = sin 27 F, -0 < n < 0 x(n): %3D