Abstract:
The theoretical basis of two classical recursive algorithms is considered in the paper. They are beamforming algorithm based on the Kalman filter and the least squares algorithm based on QR decomposition. An algorithm that minimizes the noise at the output of an antenna array is proposed on the basis of these two algorithms. The algorithm allows one to maintain a constant level of the received useful signal.
Keywords:
phased array, adaptive algorithm, Kalman filter, recursive least squares method, QR decomposition.
The research was financed by the Ministry of Education and Science of the Russian Federation (agreement no. 14.575.21.0081, unique project RFMEFI57514X0081).
Received: 10.02.2016 Received in revised form: 26.02.2016 Accepted: 22.03.2016
Bibliographic databases:
Document Type:
Article
UDC:519.873
Language: English
Citation:
Valeriy N. Tyapkin, Dmitry D. Dmitriev, Yuri L. Fateev, Nikolay S. Kremez, “The synthesis of spatial filtering algorithm with a constant level of useful signal”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 258–267
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\paper The synthesis of spatial filtering algorithm with a constant level of useful signal
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 2
\pages 258--267
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\crossref{https://doi.org/10.17516/1997-1397-2016-9-2-258-267}
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Linking options:
https://www.mathnet.ru/eng/jsfu483
https://www.mathnet.ru/eng/jsfu/v9/i2/p258
This publication is cited in the following 6 articles:
Valery N. Tyapkin, Dmitry D. Dmitriev, Pavel V. Shtro, Pavel V. Luferchik, Igor V. Tyapkin, Evgenii D. Mikhov, “Model of receiving channels of an adaptive antenna array to assess the impact of differences in their characteristics on the efficiency of interference suppression”, Zhurn. SFU. Ser. Matem. i fiz., 18:1 (2025), 81–90
Valery N. Tyapkin, Dmitry D. Dmitriev, Andrey B. Gladyshev, Peter Yu. Zverev, “A recursive algorithm for estimating the correlation matrix of the interference based on the QR decomposition (Retracted)”, Zhurn. SFU. Ser. Matem. i fiz., 13:2 (2020), 160–169
V. N. Tyapkin, Yu. L. Fateev, A. B. Gladyshev, V. N. Ratushniak, P. Yu. Zverev, 2020 Moscow Workshop on Electronic and Networking Technologies (MWENT), 2020, 1
D D Dmitriev, A V Sokolovskii, I N Kartsan, V N Tyapkin, S V Efremova, “Methods beamforming adaptive digital array and their study using a computer model”, IOP Conf. Ser.: Mater. Sci. Eng., 450 (2018), 052012
I. N. Kartsan, V. N. Tyapkin, D. D. Dmitriev, A. E. Goncharov, I. V. Kovalev, “An adaptive algorithm for interference suppression in phased antenna arrays”, XX International Scientific Conference Reshetnev Readings-2016, IOP Conference Series-Materials Science and Engineering, 255, IOP Publishing Ltd, 2017, UNSP 012009
V. N. Tyapkin, I. N. Kartsan, D. D. Dmitriev, S. V. Efremova, 2017 International Siberian Conference on Control and Communications (SIBCON), 2017, 1