Consider the continuous-time signal x₁(t) = cos(2á 900 t) which is sampled at F = 800 samples/sec. a) Find an expression for the resulting discrete-time signal x[n] = xa(nTs), where T = b) Plot the discrete-time samples x[n] for n = 0, ..., 24. c) Find a discrete-time sinusoidal signal y[n] = cos(won), where ≤w<, which yields the same sample values as x[n] in parts a) and b).

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Consider the continuous-time signal xa (t) = cos(2π 900 t) which is sampled at
800 samples/sec.
FS
=
a) Find an expression for the resulting discrete-time signal x[n] = xa(nTs), where T,
=
b) Plot the discrete-time samples x[n] for n =
0,..., 24.
FS
c) Find a discrete-time sinusoidal signal y[n] = cos(won), where ≤w, <T, which yields
the same sample values as x[n] in parts a) and b).
d) What is the frequency of the continuous-time sinusoidal signal that corresponds to the
discrete-time signal from part c) (still assuming FS 800 samples/sec) ?
=
Transcribed Image Text:Consider the continuous-time signal xa (t) = cos(2π 900 t) which is sampled at 800 samples/sec. FS = a) Find an expression for the resulting discrete-time signal x[n] = xa(nTs), where T, = b) Plot the discrete-time samples x[n] for n = 0,..., 24. FS c) Find a discrete-time sinusoidal signal y[n] = cos(won), where ≤w, <T, which yields the same sample values as x[n] in parts a) and b). d) What is the frequency of the continuous-time sinusoidal signal that corresponds to the discrete-time signal from part c) (still assuming FS 800 samples/sec) ? =
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