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530<br />

Performance of Communication Systems Corrupted by Noise Chap. 7<br />

80<br />

(S/N) pk out= peak signal power to average noise power out (dB)<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

M=4096 (n=12)<br />

M=1024 (n=10)<br />

M=256 (n=8)<br />

M=64 (n=6)<br />

M=8 (n=3)<br />

M=4 (n=2)<br />

10<br />

0<br />

10 7<br />

10 6 10 5 10 4 10 3 10 2 10 1 1.0<br />

P e<br />

Figure 7–17 (SN) out of a PCM system as a function of P e and the number of quantizer steps M.<br />

7–8 OUTPUT SIGNAL-TO-NOISE RATIOS<br />

FOR ANALOG SYSTEMS<br />

In Chapters 4 and 5, generalized modulation and demodulation techniques for analog and digital<br />

signals were studied. Specific techniques were shown for AM, DSB-SC, SSB, PM, and<br />

FM signaling, and the bandwidths of these signals were evaluated. Here we evaluate the output<br />

signal-to-noise ratios for these systems as a function of the input signal, noise, and system<br />

parameters. Once again, we find that the mathematical analysis of noncoherent systems is<br />

more difficult than that for coherent systems and that approximations are often used to obtain<br />

simplified results. However, noncoherent systems are often found to be more prevalent in

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