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In AM radio, the transmitted signal (voice or music) is modulated by a sinusoid at the assigned broadcast frequency of the AM station. For example, WSB in Atlanta has a carrier frequency of 750 kHz. For example, if x (1) is the voice/music signal, then the transmitted signal would be: y(t)= [x(1) + A] cos(2x (750 x 10³)r) Acos (24 (750+1 where A is a constant. (A is introduced to make the AM receiver design easier, in which case A must be chosen to be larger than the maximum value of v(t).) Suppose that the signal that is to be transmitted is x(1) = 3 cos(2000+/4)+cos(4000x+/2) Draw the spectrum for y(t) assuming a carrier at 750 kHz with A = 2. Hint: Substitute for x(t) and expand y(t) into a sum of cosine terms of three different frequencies. 3

In AM radio, the transmitted signal (voice or music) is modulated by a sinusoid at the assigned broadcast frequency of the AM station. For example, WSB in Atlanta has a carrier frequency of 750 kHz. For example, if x (1) is the voice/music signal, then the transmitted signal would be: y(t)= [x(1) + A] cos(2x (750 x 10³)r) Acos (24 (750+1 where A is a constant. (A is introduced to make the AM receiver design easier, in which case A must be chosen to be larger than the maximum value of v(t).) Suppose that the signal that is to be transmitted is x(1) = 3 cos(2000+/4)+cos(4000x+/2) Draw the spectrum for y(t) assuming a carrier at 750 kHz with A = 2. Hint: Substitute for x(t) and expand y(t) into a sum of cosine terms of three different frequencies. 3

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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In AM radio, the transmitted signal (voice or music) is modulated by a sinusoid at the assigned broadcast frequency of the AM station. For example, WSB in Atlanta has a carrier frequency of 750 kHz. For example, if x (1) is the voice/music signal, then the transmitted signal would be: y(t)= [x(1) + A] cos(2x (750 x 10³)r) Acos (24 (750+1 where A is a constant. (A is introduced to make the AM receiver design easier, in which case A must be chosen to be larger than the maximum value of v(t).) Suppose that the signal that is to be transmitted is x(1) = 3 cos(2000+/4)+cos(4000x+/2) Draw the spectrum for y(t) assuming a carrier at 750 kHz with A = 2. Hint: Substitute for x(t) and expand y(t) into a sum of cosine terms of three different frequencies. 3
Transcribed Image Text:In AM radio, the transmitted signal (voice or music) is modulated by a sinusoid at the assigned broadcast frequency of the AM station. For example, WSB in Atlanta has a carrier frequency of 750 kHz. For example, if x (1) is the voice/music signal, then the transmitted signal would be: y(t)= [x(1) + A] cos(2x (750 x 10³)r) Acos (24 (750+1 where A is a constant. (A is introduced to make the AM receiver design easier, in which case A must be chosen to be larger than the maximum value of v(t).) Suppose that the signal that is to be transmitted is x(1) = 3 cos(2000+/4)+cos(4000x+/2) Draw the spectrum for y(t) assuming a carrier at 750 kHz with A = 2. Hint: Substitute for x(t) and expand y(t) into a sum of cosine terms of three different frequencies. 3
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