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We previously computed the spectrum of the FM signal defined by X1(1) = A̟ cos[2nf,t+ ß sin(2n fm)] Now assume that the modulated signal is given by X2(1) = A̟ cos[2nf_t+ ß cos(2n f„t)] Show that the amplitude spectrum of x(1) and x2(1) are identical. Compute the phase spectrum of x(t) and com- pare with the phase spectrum of xe1(1).

We previously computed the spectrum of the FM signal defined by X1(1) = A̟ cos[2nf,t+ ß sin(2n fm)] Now assume that the modulated signal is given by X2(1) = A̟ cos[2nf_t+ ß cos(2n f„t)] Show that the amplitude spectrum of x(1) and x2(1) are identical. Compute the phase spectrum of x(t) and com- pare with the phase spectrum of xe1(1).

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
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4.4 We previously computed the spectrum of the FM signal defined by xe1 (t) = A̟ cos[2n f_t+ ß sin(2n f mt)] Now assume that the modulated signal is given by X2(1) = A̟ cos[2n f_t+ ß cos(27 f „t)] Show that the amplitude spectrum of x(1) and x2(1) arc identical. Compute the phase spectrum of x2(t) and com- pare with the phase spectrum of xe1(t).
Transcribed Image Text:4.4 We previously computed the spectrum of the FM signal defined by xe1 (t) = A̟ cos[2n f_t+ ß sin(2n f mt)] Now assume that the modulated signal is given by X2(1) = A̟ cos[2n f_t+ ß cos(27 f „t)] Show that the amplitude spectrum of x(1) and x2(1) arc identical. Compute the phase spectrum of x2(t) and com- pare with the phase spectrum of xe1(t).
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