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An angle modulated signal is given by u(t) = 16 cos(2π 10°t + 2 sin(2710*t)) If the message signal has a unit amplitude, a. Find the message signal for both when the signal is FM and PM modulated b. Assuming that FM modulation was used, find the maximum frequency deviation (Af max) and the frequency deviation constant (kf). c. Find the modulation index ẞ and the bandwidth. d. Assuming that PM modulation was used, calculate and plot the frequency spectrum e. Assuming that FM modulation was used, calculate and plot the frequency spectrum if the frequency of the message signal is doubled while the frequency deviation constant you found in b) remains the same.

An angle modulated signal is given by u(t) = 16 cos(2π 10°t + 2 sin(2710*t)) If the message signal has a unit amplitude, a. Find the message signal for both when the signal is FM and PM modulated b. Assuming that FM modulation was used, find the maximum frequency deviation (Af max) and the frequency deviation constant (kf). c. Find the modulation index ẞ and the bandwidth. d. Assuming that PM modulation was used, calculate and plot the frequency spectrum e. Assuming that FM modulation was used, calculate and plot the frequency spectrum if the frequency of the message signal is doubled while the frequency deviation constant you found in b) remains the same.

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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An angle modulated signal is given by u(t) = 16 cos(2π 10°t + 2 sin(2710*t)) If the message signal has a unit amplitude, a. Find the message signal for both when the signal is FM and PM modulated b. Assuming that FM modulation was used, find the maximum frequency deviation (Af max) and the frequency deviation constant (kf). C. Find the modulation index ß and the bandwidth. d. Assuming that PM modulation was used, calculate and plot the frequency spectrum e. Assuming that FM modulation was used, calculate and plot the frequency spectrum if the frequency of the message signal is doubled while the frequency deviation constant you found in b) remains the same.
Transcribed Image Text:An angle modulated signal is given by u(t) = 16 cos(2π 10°t + 2 sin(2710*t)) If the message signal has a unit amplitude, a. Find the message signal for both when the signal is FM and PM modulated b. Assuming that FM modulation was used, find the maximum frequency deviation (Af max) and the frequency deviation constant (kf). C. Find the modulation index ß and the bandwidth. d. Assuming that PM modulation was used, calculate and plot the frequency spectrum e. Assuming that FM modulation was used, calculate and plot the frequency spectrum if the frequency of the message signal is doubled while the frequency deviation constant you found in b) remains the same.
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