Asymptotic Error Probability of Binary Hypothesis Testing for Poisson Point-Process Observations

摘要

It is shown that the asymptotic probability of error of a binary equi-probable hypothesis test for observed Poisson point processes with rates lambda sub i (t) = b sub i (t) + (rho sub i (t) + z) squared, i = 0,1 z approaches limit of infinity, is equal to the error probability of optimum deterministic-signal detection in additive white Gaussian noise when the signals coincide with the square roots of the point-process rates. The implication of this result in the error rate analysis of optical digital communication systems is discussed. Keywords: Reprint. (kr)