A Review of Representation Functions for Probability of Detection

摘要

Simple representation functions tht interrelate the primary signal detection variables for the receiver structure of Marcum and Swerling are reviewed in regard to acuracy, complexity and inversion. Functions reviewed include those of Brooks, Neuvy, and Khoury-Bucknam. The first two of these are simple algorithms for computing minimum ratio of signal energy to noise power density as functions of number of samples integrated, the target distribution case, and required probabilities of detection and false alarm. The Khoury-Bucknam functions are analytic and invertable, and they relate probability of detection and signal-to-noise ratio using parameters chosen uniquely for each case, number of samples, and probability of false alarm. The procedures and software that support determination of the coefficients of the Khoury-Bucknam function are documented. (Author)