Selection of parameters for band-diagonal regularization of maximum likelihood estimates of Gaussian interference correlation matrices and their inverses

Viacheslav P. Riabukha; Andrii V. Semeniaka; Yevhen A. Katiushyn; Dmytro V. Atamanskiy

doi:10.3103/S0735272721050010

Authors

Viacheslav P. Riabukha Kvant Radar Systems Scientific Research Institute, Kyiv, Ukraine https://orcid.org/0000-0002-8607-9551
Andrii V. Semeniaka Kvant Radar Systems Scientific Research Institute, Kyiv, Ukraine https://orcid.org/0000-0002-1170-6151
Yevhen A. Katiushyn Kvant Radar Systems Scientific Research Institute, Kyiv, Ukraine https://orcid.org/0000-0001-8200-7289
Dmytro V. Atamanskiy Ivan Kozhedub Kharkiv National Air Force University, Kharkiv, Ukraine https://orcid.org/0000-0002-8705-8584

DOI:

https://doi.org/10.3103/S0735272721050010

Keywords:

Gaussian noise jamming, Gaussian clutter, space-time adaptive processing, maximum likelihood estimate, correlation matrix, band-diagonal regularization parameters, speed

Abstract

This study is devoted to the substantiation of practical recommendations on the selection of parameters for the band-diagonal regularization of maximum likelihood estimates of Hermitian correlation matrices of Gaussian interferences. These parameters include the diagonal regularization parameter and band regularization parameter, which represents the compensation multiplicity, i.e., the number of stages of adaptive lattice filters, for ensuring the high speed of adaptation of radar protection systems against the noise jamming and clutter corresponding to the theoretical (ultimate) limit. It has been shown that during the adaptive spatial processing of signals against the background of noise jamming, the selection of diagonal regularization parameter depends on the dimension of problem, while during the time processing of signals against the background of clutter, it also depends on the shape of correlation function of such interferences. The limitation of the number of stages of adaptive lattice filters as compared with the number of time channels makes it possible to simplify the adaptive processing of signals against the background of clutter and at the same time to increase the speed of adaptation.

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