a-c A signal, x(t), is sampled (multiplied) by a sampling function, p(t), to yield an outputfunction, y(t) [i.e., x(t)p(t) = y(t)].The Fourier transform of x(t), X(jw) is as shown below and is = 0 for |w| > wm = 2 x 5000rad/sec.-WMX(jw)∞WMThe function p(t) is a train of continuous impulse functions given by the formula:p(t) = S(t - KT)k=-∞(a) What is the minimum sampling frequency, ws (in rad/sec), and maximum period, T(in seconds), for p(t) such that the output function, y(t), (a sampled version of x(t))will contain no aliasing?(b) Sketch P(jw) and Y(jw), the FT of p(t) and y(t) respectively, if the sampling periodT is 1.5 times the value you found in part a).(c) Sketch P(jw) and Y(jw), the FT of p(t) and y(t) respectively, if the sampling periodT is 0.75 times the value you found in part a).(d) Can x(t) be recovered from y(t) if the sampling period is as stated in part b)? If so,sketch a block diagram of the recovery system and label any parameters for the partsof your system (modulation frequencies, modulator gains, filter cutoff frequencies,filter gains, etc.). If it cannot, state why not.(e) Can x(t) be recovered from y(t) if the sampling period is as stated in part c)? If so,sketch a block diagram of the recovery system and label any parameters for the partsof your system (modulation frequencies, modulator gains, filter cutoff frequencies,filter gains, etc.). If it cannot, state why not.

Answered: Image /qna-images/answer/5142df00-7f26-4d4d-9647-d5ca4dbbd314.jpg

A signal, x(t is sampl function, y(t) [i.e., x(t)p(t) = y(t)]. The Fourier transform of x(t), X(jw) is as shown below and is = 0 for |w| > wm = 2 x 5000 rad/sec. -Wr by a sampling function, p(t), to yield an output 1 X(jw) 3

A signal, x(t is sampl function, y(t) [i.e., x(t)p(t) = y(t)]. The Fourier transform of x(t), X(jw) is as shown below and is = 0 for |w| > wm = 2 x 5000 rad/sec. -Wr by a sampling function, p(t), to yield an output 1 X(jw) 3

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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