9.15. (a) A continuous-time signal x(t) cos 2nt is sampled every T seconds. resulting %3D the discrete-time signal x[n] x(nT). Determine whether the sampled signal is periodic for (i) T = 1s (iii) T 0.125 s (v) T 5s %3D (ii) T 0.1 s (iv) T 0.130 s (vi) T =s (b) For those sampled signals in part (a) that are periodic, find the number of periods. of x(1) in one period of x[n]. (c) For those sampled signals in part (a) that are periodic. find the nummber of samples in one period of x[n].

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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9.15. (a) A continuous-time signal x(t) cos 2nt is sampled every T seconds. resulting
%3D
the discrete-time signal x[n] x(nT). Determine whether the sampled signal is
periodic for
(i) T = 1s
(iii) T 0.125 s
(v) T 5s
%3D
(ii) T 0.1 s
(iv) T 0.130 s
(vi) T =s
(b) For those sampled signals in part (a) that are periodic, find the number of periods.
of x(1) in one period of x[n].
(c) For those sampled signals in part (a) that are periodic, find the nummber of samples
in one period of x[n].
Transcribed Image Text:9.15. (a) A continuous-time signal x(t) cos 2nt is sampled every T seconds. resulting %3D the discrete-time signal x[n] x(nT). Determine whether the sampled signal is periodic for (i) T = 1s (iii) T 0.125 s (v) T 5s %3D (ii) T 0.1 s (iv) T 0.130 s (vi) T =s (b) For those sampled signals in part (a) that are periodic, find the number of periods. of x(1) in one period of x[n]. (c) For those sampled signals in part (a) that are periodic, find the nummber of samples in one period of x[n].
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