Plot the results for P_Egiven in Table 9.2 versus z = E_b / N₀in decibels with P_Eplotted on a semilog axis. Estimate the additional E_b / N₀at P_E= 10^-5in decibels over the case for no phase error. Compare these results with that for constant phase error, as given by (9.81), of the same magnitude (Ï• for constant phase error equals σ_Ï•, for the Gaussian phase-error case).

Table 9.2 Effect of Gaussian Phase Reference Jitter on the Detection of BPSK Pe, o Pe, o = 0.1 rad? PE, o = 0.01 rad? E/ No, dB = 0.05 rad? 6.54 x 10-5 1.08 10-5 1.36 10-6 2.42 x 10-4 8.96 10-5 3.76 10-5 1.83 x 10-5 3.68 10-5 4.55 x 10-6 3.18 10-7 1.02 10-8 10 11 1.61 10-7 12