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(t) is the voice/music signal, then the transmitted signal would be: 2 75 y(t) = [x (1) + A cos(2 (750 x 10³)) FL Acos (21, (750+10SE) where A is a constant. (A is introduced to make the AM receiver design easier, in which case A (+) co 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(2000x + x/4)+cos(4000x+π/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. 3c 70005t
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(t) is the voice/music signal, then the transmitted signal would be: 2 75 y(t) = [x (1) + A cos(2 (750 x 10³)) FL Acos (21, (750+10SE) where A is a constant. (A is introduced to make the AM receiver design easier, in which case A (+) co 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(2000x + x/4)+cos(4000x+π/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. 3c 70005t
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...
Question
![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(t) is the voice/music signal, then the transmitted signal would be:
2 75
y(t) = [x (1) + A cos(2 (750 x 10³))
FL
Acos (21, (750+10SE)
where A is a constant. (A is introduced to make the AM receiver design easier, in which case A (+) co
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(2000x + x/4)+cos(4000x+π/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.
3c
70005t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b55a0fb-5dff-4587-97c0-c3ec381e9c7e%2F52cdd045-f018-46ef-8bca-1c070640fd56%2F7za04dw_processed.png&w=3840&q=75)
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(t) is the voice/music signal, then the transmitted signal would be:
2 75
y(t) = [x (1) + A cos(2 (750 x 10³))
FL
Acos (21, (750+10SE)
where A is a constant. (A is introduced to make the AM receiver design easier, in which case A (+) co
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(2000x + x/4)+cos(4000x+π/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.
3c
70005t
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