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Consider the system for discrete-time processing of a continuous-time signal with sampling period T. Operations include A/D and D/A as shown in the figures below.

Consider the system for discrete-time processing of a continuous-time signal with sampling period T. Operations include A/D and D/A as shown in the figures below.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Consider the system for discrete-time processing of a continuous-time signal with sampling period T. Operations include A/D and D/A as shown in the figures below. xc(t) x[n] y[n] Ye(t) A/D G(w) D/A Xc() G(w) 1 S2 3- -8kHz 8πkHz -π/4 π/4 p(t) xc(t) Convert to sequence | x[n] = xc(nTs) yn Sequence to T impulse train (T) -T/T H(S) /T Ye(t) Ω The filter G(w) is the low-pass filter shown in Figure below. The Fourier transform of x(t), X() is as shown. Sketch accurately the following transforms given a sampling frequency of 8 kHz: (a) Xp() (b) X(w) (c) Y(w) (d) Ye(n)
Transcribed Image Text:Consider the system for discrete-time processing of a continuous-time signal with sampling period T. Operations include A/D and D/A as shown in the figures below. xc(t) x[n] y[n] Ye(t) A/D G(w) D/A Xc() G(w) 1 S2 3- -8kHz 8πkHz -π/4 π/4 p(t) xc(t) Convert to sequence | x[n] = xc(nTs) yn Sequence to T impulse train (T) -T/T H(S) /T Ye(t) Ω The filter G(w) is the low-pass filter shown in Figure below. The Fourier transform of x(t), X() is as shown. Sketch accurately the following transforms given a sampling frequency of 8 kHz: (a) Xp() (b) X(w) (c) Y(w) (d) Ye(n)
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