(a) Sketch the signal space with decision regions for 16-ary PSK [see (10.47)]. (b) Use the bound...

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(a) Sketch the signal space with decision regions for 16-ary PSK [see (10.47)].

2л (і — 1) 2E, (10.47) s; (1) = 0<1ST,, i3D 1,2, ..., м cos| 2л ft т, + M

(b) Use the bound (10.50) to write down and plot the symbol error probability versus Eb / N0.

Pg < Pr(Z e D, or D2) = 2Pr(Z e D,) = 2 Pr(d + N1 < 0) = 2Pr(N_ < -d) e-u? / No du = 2Q (яNo νTNο 2E, - sin(x / M) No

(c) On the same axes, compute and plot the bit error probability assuming that Gray encoding is used.

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