Requirements for the Development of an Allow Rule for Signal Detection in Full-Polarization Sounding Radar Systems with Subband Processing of Multi-Frequency Orthogonal Coherent Signals

Abstract

The paper considers the synthesis of an allow rule in single-position radar systems with full polarization probing during subband processing of multi-frequency orthogonal coherent signals. The paper consistently presents and justifies the following: the selection of weights for a multi-frequency signal; the filtering of polarization vectors, and the regularization of poorly conditioned covariance-polarization matrices. The paper also describes the principle of forming training samples and checking the normality of the distribution of polarization scattering vectors. The application of the Neumann–Pearson criterion for the synthesis of the decision rule for signal detection is substantiated. Based on the experimental data obtained on the mock-up of the onboard radar system “Access-V”, it is shown that the spectral truncation of the covariance-polarization matrices provides the decision statistics bias of no more than 0.8 % and the probability of correct detection of 0.97 with the probability of the first-kind error of 10-4. The requirements for the hardware and software of full polarization radar systems have been substantiated.