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San outorial 1. Draw Xs(0)| for the following cases if ys()-x(t)p(t) with sampling period T. P(t) = Eöct -nT) X(0) -2 -1 0 1 2 a) T= T/4 sec b) T= T/2 sec c) T= 2n/3 sec

San outorial 1. Draw Xs(0)| for the following cases if ys()-x(t)p(t) with sampling period T. P(t) = Eöct -nT) X(0) -2 -1 0 1 2 a) T= T/4 sec b) T= T/2 sec c) T= 2n/3 sec

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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12:26 Sampling Toutorial Sheet copy Sampling Toutorial Sheet 1. Draw Xs(0)| for the following cases if ys(t)=x(t)p(t) with sampling period T. p(t) = 8(t -nT) X(0)| -2 -1 0 1 2 a) T= T/4 sec b) T= T/2 sec c) T= 2n/3 sec 2. Repeat Problem 1 where x(t) =e-/4 cos(t)u(t) 3. Consider the following sampling and reconstruction configuration: x(t) sample at T x[n] ideal y(t) reconstruction The output y(t) of the ideal reconstruction can be found by sending the sampled signal xs(t) = x(t)p(t) through an ideal lowpass filter: т -0.50, 0.50, Let x(t) =2+ cos(50rt) and T= 0.01 sec. a) Draw Xs(o) where xs(t) = x(t)p(t). Determine if aliasing occurs. b) Determine the expression for y(t). c) Determine an expression for x[n]. 4. Repeat Problem 3 for x(t) = 2+ cos(50rt) and T=0.025 sec. 5. Repeat Problem 3 for x(t) = 1+ cos(20t) + cos(60 rt) and T = 0.01 sec. 6. For the system in problem 3 a) Draw Xs(0). Determine the expression for y(t) if x(t) = 1+ cos(15rt) and T=0.1 sec. b) Let X(0) = 1/(jo+1) and T = 1 sec. Draw |Xs(o) .Does aliasing occur? (Justify your answer.)
Transcribed Image Text:12:26 Sampling Toutorial Sheet copy Sampling Toutorial Sheet 1. Draw Xs(0)| for the following cases if ys(t)=x(t)p(t) with sampling period T. p(t) = 8(t -nT) X(0)| -2 -1 0 1 2 a) T= T/4 sec b) T= T/2 sec c) T= 2n/3 sec 2. Repeat Problem 1 where x(t) =e-/4 cos(t)u(t) 3. Consider the following sampling and reconstruction configuration: x(t) sample at T x[n] ideal y(t) reconstruction The output y(t) of the ideal reconstruction can be found by sending the sampled signal xs(t) = x(t)p(t) through an ideal lowpass filter: т -0.50, 0.50, Let x(t) =2+ cos(50rt) and T= 0.01 sec. a) Draw Xs(o) where xs(t) = x(t)p(t). Determine if aliasing occurs. b) Determine the expression for y(t). c) Determine an expression for x[n]. 4. Repeat Problem 3 for x(t) = 2+ cos(50rt) and T=0.025 sec. 5. Repeat Problem 3 for x(t) = 1+ cos(20t) + cos(60 rt) and T = 0.01 sec. 6. For the system in problem 3 a) Draw Xs(0). Determine the expression for y(t) if x(t) = 1+ cos(15rt) and T=0.1 sec. b) Let X(0) = 1/(jo+1) and T = 1 sec. Draw |Xs(o) .Does aliasing occur? (Justify your answer.)
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