4.34 Some radio systems suffer from multipath distortion, which is caused by the existence ofmore than one propagation path between the transmitter and the receiver. Consider achannel the output of which, in response to a signal s(t), is defined by (in the absence ofnoise)x(t)> a,s(t -toi) + azs(ttoz)where a, and az are constant, and to1 and to2 represent transmission delays. It is proposedto use the three-tap delay-lime-filter of Figure P4.34 to equalize the multipath distortionproduced by this channel.(a) Evaluate the transfer function of the channel.(b) Evaluate the parameters of the tapped-delay-line filter in terms of a1, az2, to1, and to2,assuming that az « a, and to2 > to1.DelayInputsignalDelayTWoW1OutputsignalΣΣFIGURE P4.34

(a) Transfer function of channel- Given, output of channel is xt=a1 st-t01+a2 st-t02 By taking…

4.34 Some radio systems suffer from multipath distortion, which is caused by the existence of more than one propagation path between the transmitter and the receiver. Consider a channel the output of which, in response to a signal s(t), is defined by (in the absence of noise) x(t) = ajs(t -toi) + azs(t - to2) where a, and az are constant, and toi and to2 represent transmission delays. Ir is proposed to use the three-tap delay-line-filter of Figure P4.34 to equalize the multipath distortion produced by this channel. (a) Evaluate the transfer function of the channel. (b) Evaluate the parameters of the tapped-delay-line filter in terms of a1, a2, to1, and to2, assuming that az « a1 and toz > to1.

4.34 Some radio systems suffer from multipath distortion, which is caused by the existence of more than one propagation path between the transmitter and the receiver. Consider a channel the output of which, in response to a signal s(t), is defined by (in the absence of noise) x(t) = ajs(t -toi) + azs(t - to2) where a, and az are constant, and toi and to2 represent transmission delays. Ir is proposed to use the three-tap delay-line-filter of Figure P4.34 to equalize the multipath distortion produced by this channel. (a) Evaluate the transfer function of the channel. (b) Evaluate the parameters of the tapped-delay-line filter in terms of a1, a2, to1, and to2, assuming that az « a1 and toz > to1.

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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