Synthesis of the optimal algorithm for discrimination of the optical signals taking into account their dynamic range

Abstract

The problems of statistical analysis of a typical receive optical module (TROM) in the detection of a random optical signal and the synthesis of an optimal algorithm for discrimination of the optical signals in a binary communication system are solved in a paper. The envelope of optical field intensity is described by the Nakagami distribution density. Conditional Poisson distribution of the photoelectron counts and its asymptotic approximation, during limitation of the detection process by thermal noise is obtained. Statistical model of the signal and noise mixture at the TROM output consider the dynamic range of optical signal. The synthesis of the Bayesian algorithm for signals discrimination is performed taking into account the restrictions imposed by the preset TROM structure. The average error probability of signals discrimination is estimated. Conditions for feasibility of the synthesized algorithm are discussed