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# sm9_5

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```Problem 9.5. The message signal of Problem 9.2 having a bandwidth W of 4 kHz is
transmitted over the same noisy channel having a noise spectral density N0/2 of 2x10-17
watts per hertz using single-sideband modulation. If the average received power of the
signal is -80 dBm, what is the post-detection signal-to-noise ratio of the receiver?
Compare the transmission bandwidth of the SSB receiver to that of the DSB-SC receiver.

Solution
From Eq. (9.23)

2
SSB
post
0
SNR
2
cA P
N W
=

with
2
80 dBm
2
cA P = \u2212 , , and . The 4 kHzW = 170 104 \u2212×=N

SSB
postSNR 18 dB=

The transmission bandwidth of SSB is 4 kHz, half of the 8 kHz used with DSB-SC.

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