Index of improvement of nonlinear single-channel signal detection systems under Gaussian noise

Abstract

Detection of signals of moving targets against the background of an additive mixture of uncorrelated and correlated interference is one of the relevant and rather complex tasks solved in coherent-pulse radar systems. Correlated interference in the form of disturbing reflections from stationary or slowly moving objects significantly disrupts the regular operation of radar systems, which can lead to missing the target. The article presents a comparative analysis of the potential efficiency of two non-linear single-channel systems for useful signal detection operating under an additive mixture of uncorrelated and correlated Gaussian noise. To solve the task of analyzing the quality of detectors from the class of nonlinear structures, an improvement index was proposed, which is the signal/interference ratio at the output of the nonlinear system to the signal/interference ratio at its input, averaged over all possible radial velocities of the target. Numerical results of a comparative analysis of the potential effectiveness of the considered algorithms for various spectral-correlation parameters of interference are given. It was established that the potential efficiency of the algorithm developed by the author is higher than the efficiency of the algorithm implementing the well-known Hotelling statistics based on the improvement index and the parameters of the additive mixture of uncorrelated and correlated interference selected in this work.