An AM-SC transmitter is modulating a message signal to transmit through a channel. The channel is bandwidth limited and noisy. The message Signal m(t) = Аcos(2πfmt) Transmitted signal g(t) Given Transmitter - Modulator Carrier signal cos(2nfct) H(f) BWchannel . Transmitted signal g(t) = A сos(2лfmt) сos (2πf -fub -fc-fib 0 fub fc fub +Ⓡ Noise LTI Additive Noise Channel Model Received signal r(t) cos(a) cos(b) = (cos(a + b) + cos(a - b)) and, for A = 2, message frequency 150 Hz, channel carrier frequency fo = 110 MHz, el bandwidth the A tted ation B. If the noise variance o² (and, thus, power P) is, find the signal-to-noise ratio (SM at the channel output (i.e. the received signal's SNR as a measure of its quality) in decibels (dB).

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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An AM-SC transmitter is modulating a message signal to transmit through a channel.
The channel is bandwidth limited and noisy.
The message
Signal
m(t) = Асos(2¹fmt)
Transmitted
signal g(t)
Given
Transmitter
Modulator
Carrier signal cos(2πfct)
H(f) BWchannel
1
----
L
-fub -fc-fib 0 fub fc
■
fub
Transmitted
signal g(t) = A сos(2лfmt) cos(2лfct)
cos(a) cos(b) = (cos(a + b) + cos(a − b))
-
ist. Mina
Noise
LTI Additive Noise Channel Model
Received
signal r(t)
and, for A = 2, message frequency 150 Hz, channel carrier frequency fc = 110 MHz,
A
elbar
Bitted
ation
B. If the noise variance ² (and, thus, power P) is , find the signal-to-noise ratio (SNR)
at the channel output (i.e. the received signal's SNR as a measure of its quality) in
decibels (dB).
Transcribed Image Text:An AM-SC transmitter is modulating a message signal to transmit through a channel. The channel is bandwidth limited and noisy. The message Signal m(t) = Асos(2¹fmt) Transmitted signal g(t) Given Transmitter Modulator Carrier signal cos(2πfct) H(f) BWchannel 1 ---- L -fub -fc-fib 0 fub fc ■ fub Transmitted signal g(t) = A сos(2лfmt) cos(2лfct) cos(a) cos(b) = (cos(a + b) + cos(a − b)) - ist. Mina Noise LTI Additive Noise Channel Model Received signal r(t) and, for A = 2, message frequency 150 Hz, channel carrier frequency fc = 110 MHz, A elbar Bitted ation B. If the noise variance ² (and, thus, power P) is , find the signal-to-noise ratio (SNR) at the channel output (i.e. the received signal's SNR as a measure of its quality) in decibels (dB).
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