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LATTICE FILTRATION THEORY. PART I: ONE-DIMENSIONAL LATTICE FILTERS

Volume 80, Issue 5, 2021, pp. 41-79
DOI: 10.1615/TelecomRadEng.2021039186
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D. I. Lekhovytskiy
Kvant Radar Systems Scientific Research Institute, Kyiv, Ukraine
Viacheslav P. Riabukha
Kvant Radar Systems Scientific Research Institute, Kyiv, Ukraine
D. V. Atamanskiy
Kharkiv National University of Air Force named after Ivan Kozhedub, 77/79 Sumska Street, Kharkiv 61023, Ukraine
A. V. Semeniaka
Kvant Radar Systems Scientific Research Institute, Kyiv, Ukraine
D. S. Rachkov
Kharkiv National University of Radio Electronics, Nauky Avenue, 14, Kharkiv 61166, Ukraine

ABSTRACT

In this paper, we address the role and place of lattice filters (LFs) in systems of primary space-time signal processing, state of the art of the LF theory, and adaptive adjustment techniques. This first part of our study deals with the development of a unified technique for synthesis of multistage filters with given matrix impulse responses based on their factorized representations of various types of lattice structures. The generalized Levinson algorithm and generalized Levinson factorization, being theoretical grounds for the lattice structures, are derived. The physical meaning and the properties of the parameters of whitening and inverse LFs are discussed, given different levels of a priori information about the input signals' covariance matrix specificity.

KEY WORDS: adaptive space-time processing, covariance matrix (CM), generalized Levinson factorization (GLF), lattice filters (LFs), whitening (inverse) filters, a priori covariance matrix structure information
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CITED BY

  1. Riabukha Viacheslav P., Semeniaka Andrii V., Katiushyn Yevhen A., Atamanskiy Dmytro V., Selection of Number of Compensatory Channels and Placement of Receivers with Non-Identical Frequency Response at Phased-Array Radar under Gaussian Noise Jamming, Radioelectronics and Communications Systems, 65, 1, 2022. Crossref

  2. Атаманський Д. В., Залевський Г. С. , Стовба Р. Л. , Садовий К. В. , Романенко І. О. , Прокопенко Л. В. , Оцінювання параметрів відбиттів від метеоутворень по енергетичному спектру їх суміші з відбиттями від місцевих предметів, Системи обробки інформації, 2 (169), 2022. Crossref

  3. Riabukha Viacheslav P., Semeniaka Andrii V., Katiushyn Yevhen V., Atamanskiy Dmytro V., Protection of Coherent Pulse Radars against Combined Interferences. 3. ALF-Based Digital Adaptive System of Sequential Protection of Programmed Surveillance Radars against Combined Interference, Radioelectronics and Communications Systems, 65, 2, 2022. Crossref

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