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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. 2c(t) -87kHz (a) Xp(N) (b) X(w) (c) Y (w) (d) Yc(Q) c(t) y[n] A/D Χ(Ω) x[n] Ω 8πkHz p(t) S₂(1) Sequence to impulse train (T) G(w) 1 -π/4 | y[n] | G(w) Convert to sequence T |x[n] = xe(nTs) *H (22) D/A -T/T T/T Ye (t) 22 Ye(t) The filter G(w) is the low-pass filter shown in Figure below. The Fourier transform of e(t), Xe() is as shown. Sketch accurately the following transforms given a sampling frequency of 8 kHz:
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. 2c(t) -87kHz (a) Xp(N) (b) X(w) (c) Y (w) (d) Yc(Q) c(t) y[n] A/D Χ(Ω) x[n] Ω 8πkHz p(t) S₂(1) Sequence to impulse train (T) G(w) 1 -π/4 | y[n] | G(w) Convert to sequence T |x[n] = xe(nTs) *H (22) D/A -T/T T/T Ye (t) 22 Ye(t) The filter G(w) is the low-pass filter shown in Figure below. The Fourier transform of e(t), Xe() is as shown. Sketch accurately the following transforms given a sampling frequency of 8 kHz:
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