The modulating signal that is the input into an FM modulator is m(t) = 2cos (10nt). a) Express the time domain expression of u(t) signal. b) Express FM signal in terms of Bessel functions. c) Sketch the frequency spectrum of the modulated signal. d) Determine the bandwidth of u(t) occupies 98% of the total power (Carson Rule) in the acquired spectrum. e) Determine the condition of required bandwidth of ideal BPF if at least 80% of the total power appears at the output of the filter? ВPF FM m(t) u (t) Output modulator fe = 3000 Hz k = 20n Ae = 2 fe f

The modulating signal that is the input into an FM modulator is m(t) = 2cos (10nt). a) Express the time domain expression of u(t) signal. b) Express FM signal in terms of Bessel functions. c) Sketch the frequency spectrum of the modulated signal. d) Determine the bandwidth of u(t) occupies 98% of the total power (Carson Rule) in the acquired spectrum. e) Determine the condition of required bandwidth of ideal BPF if at least 80% of the total power appears at the output of the filter? ВPF FM m(t) u (t) Output modulator fe = 3000 Hz k = 20n Ae = 2 fe f

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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A given FM transmitter is modulated with a single sinusoid, the output for no load power is 100W into 50Ω resistive load. Then, the frequency of the modulating signal is carefully adjusted from zero until the modulated carrier encountered its zero amplitude as observed in spectrum analyzer. Under these conditions, determine the: (Use the provided Bessel table) a. the modulation index and the number of significant sideband b. total power on its significant sidebands. c. relative total power of the carrier and each of sideband. Ans. (a) Mf =2.4, N=5; (b) 99.86 W; b Pc=0W, P1=27.04W, P2=18.49W, P3=4W, P4=0.36W, P5=0.04W
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