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Given an FM modulated signal as XFM (t) = 100 cos [2π(1000)t + Ø(t)] If the message signal entering the FM modulator is given by: m(t) = 5 cos[2π(8)t], and the deviation constant fa= 8, Determine: a- The modulation index. b- The phase deviation Ø(t) c- The bandwidth according to Carson's rule.

Given an FM modulated signal as XFM (t) = 100 cos [2π(1000)t + Ø(t)] If the message signal entering the FM modulator is given by: m(t) = 5 cos[2π(8)t], and the deviation constant fa= 8, Determine: a- The modulation index. b- The phase deviation Ø(t) c- The bandwidth according to Carson's rule.

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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Given an FM modulated signal as XFM (t) = 100 cos [2π(1000)t + Ø(t)] If the message signal entering the FM modulator is given by: m(t) = 5 cos[2π(8)t], and the deviation constant fa 8, Determine: a- The modulation index. b- The phase deviation Ø(t) c- The bandwidth according to Carson's rule. d- If a BPF filter is to be used at the output of the FM modulator with a transfer function H(f) as shown below, determine the power at the filter input and output terminals. m(t) FFM (T) H FM Modulator Bandpass Filter H (f) 972 1000 1028 f Output →
Transcribed Image Text:Given an FM modulated signal as XFM (t) = 100 cos [2π(1000)t + Ø(t)] If the message signal entering the FM modulator is given by: m(t) = 5 cos[2π(8)t], and the deviation constant fa 8, Determine: a- The modulation index. b- The phase deviation Ø(t) c- The bandwidth according to Carson's rule. d- If a BPF filter is to be used at the output of the FM modulator with a transfer function H(f) as shown below, determine the power at the filter input and output terminals. m(t) FFM (T) H FM Modulator Bandpass Filter H (f) 972 1000 1028 f Output →
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