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# sm9_10

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```Problem 9.10 A DSC-SC modulated signal is transmitted over a noisy channel, with the
power spectral density of the noise as shown in Fig. 9.19. The message bandwidth is
4 kHz and the carrier frequency is 200 kHz. Assume the average received power of the
signal is -80 dBm, determine the output signal-to-noise ratio of the receiver.

Solution
From Fig. 9.19, the noise power spectral density ate 200 kHz is approximately 5x10-19
W/Hz. Using this value for N0/2 (we are assuming the noise spectral density is
approximately flat across a bandwidth of 4 kHz), the post-detection SNR is given by

2
0
11
3 1
3
SNR
2
10
4 10 5 10
5 10
~ 37 dB
cA P
N W
\u2212
\u2212
=
= × × ×
= ×
9

where we have used the fact that the received power is -80 dBm implies that
. watts102/ 112 \u2212=PAc

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