LARGE DEVIATION RATE CALCULATIONS FOR NONLINEAR DETECTORS IN GAUSSIAN-NOISE

A large deviation theory asymptotic analysis is presented for three representative nonlinear receivers operating in the presence of Gaussian noise; radiometers, differential phase shift keying, and memoryless detectors. En route to our results an extension to the Toeplitz distribution theorem is proved. This extension provides the key to obtaining closed-form expressions for the exponential rate of decrease of the probability of error for the first two detector structures. The solution to the rate constant problem for the memoryless detector is then shown to be given by the solution to a certain nonlinear Hammerstein integral equation. Several examples are presented. © 1990 IEEE