Consider the following continuous-time sinusoidal signal: x (t)=sin(27F1),

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Consider the following continuous-time sinusoidal signal:
x. (t) = sin(27F1), -o<t<∞
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:
F.
x[n] = x,(nT)= sin 27-
F.
-00 <n<0
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.
Transcribed Image Text:Consider the following continuous-time sinusoidal signal: x. (t) = sin(27F1), -o<t<∞ 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: F. x[n] = x,(nT)= sin 27- F. -00 <n<0 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.
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