An AM signal has the form u(1) = [ 25+2 cos1000 r t + 10 cos750 br1|]cos 2r f,t where fe = 10° Hz. 1. Sketch the (voltage) spectrum of u(1). 2. Determine the power in each of the frequency components. 3. Determine the modulation index. 4. Determine the power in the sidebands, the total power, and the ratio of the sidebands power to the total power.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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An AM signal has the form
u(t) = [ 25+ 2 cos1000 7t + 10 cos750 t]cos 27 fet
where fe = 10° Hz.
1. Sketch the (voltage) spectrum of u(1).
2. Determine the power in each of the frequency components.
3. Determine the modulation index.
4. Determine the power in the sidebands, the total power, and the ratio of the
sidebands power to the total power.
Transcribed Image Text:An AM signal has the form u(t) = [ 25+ 2 cos1000 7t + 10 cos750 t]cos 27 fet where fe = 10° Hz. 1. Sketch the (voltage) spectrum of u(1). 2. Determine the power in each of the frequency components. 3. Determine the modulation index. 4. Determine the power in the sidebands, the total power, and the ratio of the sidebands power to the total power.
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