TY - JOUR

T1 - COHERENT-DETECTION OPTICAL COMMUNICATION SYSTEMS

T2 - A PROOF OF THE GAUSSIAN BIT ERROR RATE.

AU - Verdu, Sergio

PY - 1985/12/1

Y1 - 1985/12/1

N2 - It is shown that the asymptotic probability of error of a binary equiprobable hypothesis test for observed Poisson point-processes with rate lambda //i(t) equals b//i (t) plus (p//i (t) plus z)**2, i equals 0, 1, z yields infinity is equal to the error probability of optimum deterministic-signal detection in additive white Gaussian noise when the signals coincide with the square root of the point-process rates. This result proves the folk theorem that coherent-detection optical communication systems have Gaussian bit error rates.

AB - It is shown that the asymptotic probability of error of a binary equiprobable hypothesis test for observed Poisson point-processes with rate lambda //i(t) equals b//i (t) plus (p//i (t) plus z)**2, i equals 0, 1, z yields infinity is equal to the error probability of optimum deterministic-signal detection in additive white Gaussian noise when the signals coincide with the square root of the point-process rates. This result proves the folk theorem that coherent-detection optical communication systems have Gaussian bit error rates.

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M3 - Article

AN - SCOPUS:0022176142

SN - 0732-6181

SP - 382

EP - 387

JO - Proceedings - Annual Allerton Conference on Communication, Control, and Computing

JF - Proceedings - Annual Allerton Conference on Communication, Control, and Computing

ER -