Approximating the Bit-Error-Rate of a Coherent Optical Focal Plane Array Receiver for PPM Signals

摘要

This paper investigates the approximation of the Bit Error Rate of a coherent optical focal plane array receiver for PPM signals in the presence of atmospheric turbulence. Analysis of the expressions needed to obtain the Bit Error Rate (BER) for the real system under study in the laboratory is shown, specifically an approach using the Saddle-Point approximation of the Marcum-Q function [1,2,3] and a procedure is further discussed to approximate the Marcum-Q function using the cumulative distribution function (cdf) of the Nakagami-m distribution. It is shown that by approximation of the Marcum-Q function by means of the cdf of the Nakagami-m distribution, the numerical value of the probability of error can be readily computed.