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Accurate and Efficient Performance Prediction for Non–Coherent Detection of Targets in Correlated K–Distributed Sea Clutter and AWGN

Expressions for the performance of non-coherent pulse-to-pulse integration detection of exponentially fluctuating targets in temporally correlated K-distributed clutter and noise are derived. Clutter and target autocorrelation functions are factored into the derivation, thereby arriving at series expansions for the false alarm and detection probabilities that are more accurate than previous expressions, and which do not suffer from numerical instability or high computational complexity. Error bounds on the expressions, as a function of the number of terms in the truncated series, are also presented. The expressions are used to evaluate detection performance over a set of parameters that is representative of conditions typically encountered in practice. It is demonstrated that these performance estimates closely approximate the true performance figures obtained via Monte-Carlo simulation and thresholding, while maintaining low computational complexity during the evaluation of the expressions.