Sampling of sinusoidal signals: aliasing Consider the following continuous-time sinusoidal signal x(t) = sin 27 Fot. 1818 Since x(t) is described mathematically, its sampled version can be described by values every T seconds. The sampled signal is described by the formula Fo x(n)=x(nT) = s sin 27 F น where F, 1/T is the sampling frequency. (a) Plot the signal x(n), 0 ≤ n ≤ 99 for F, 5 kHz and F = 0.5, 2, 3, and 4.5 kHz. Explain the similarities and differences among the various plots. (b) Suppose that Fo 2 kHz and F₁ = 50 kHz. 1. Plot the signal x(n). What is the frequency fo 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?
