Answered: A bandpass signal g(t) of bandwidth B=…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Please answer this question and explain the answer. Thanks.

A bandpass signal g(t) of bandwidth B= 2000 Hz centered at f= 105 Hz is passed through the RC filter
below with RC = 10³. If over the passband, a variation of less than 2% in amplitude response and less
than 1% in time is considered to be distortionless transmission, would g(t) be transmitted without
distortion? Find the approximate magnitude response and the approximate time delay for the signal.
R
+0
g(1)
o +
'y(1)

Expert Solution

Step 1

Given: A bandpass signal g(t) of bandwidth B=2000 Hz centered at f=10⁵ Hz is passed through the RC filter with RC=10^-3 shown below:

To find:

If over the passband, the variation of less than 2% in amplitude response and less than 1% in time delay is considered to be a distortionless transmission, would g(t) be transmitted without distortion? Find the approximate expression for the output signal.

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