Let xa(t) = sin (21000t). This signal is sampled with w, = 28000 and we have x[n] = xa (nTs), n = 0, 1, ..., 1023 and T, == sec. (a) Plot X₁ (j), which is the CTFT of xa (t). (b) Approximately plot the N = 1024 point DFT magnitude |X[k]| where k= 0,1,..., 1023. Clearly determine the peak locations of IX[k]]. Peak magnitude values are not important. 8000

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Let xa (t) = sin (21000t). This signal is sampled with w, = 278000 and we have
x[n] = xa (nTs), n = 0, 1,..., 1023 and T, =
2π 8000
sec.
(a) Plot X₂ (j), which is the CTFT of xa (t).
(b) Approximately plot the N = 1024 point DFT magnitude X[k] where k =
0,1,...,1023. Clearly determine the peak locations of IX[k]]. Peak magnitude values
are not important.
Transcribed Image Text:Let xa (t) = sin (21000t). This signal is sampled with w, = 278000 and we have x[n] = xa (nTs), n = 0, 1,..., 1023 and T, = 2π 8000 sec. (a) Plot X₂ (j), which is the CTFT of xa (t). (b) Approximately plot the N = 1024 point DFT magnitude X[k] where k = 0,1,...,1023. Clearly determine the peak locations of IX[k]]. Peak magnitude values are not important.
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