Comparative analyzing the efficiency of four methods of spatial signal filtering amid jam conditions in radar system with planar antenna array

Authors
DOI:
https://doi.org/10.34169/2414-0651.2026.2(50).32-43
Keywords:
Array, Array, Array, Array, Array, Array, Array, Array, Array, Array, Array
Abstract

We investigate the solution of spatial signal filtering problem under jam conditions in antenna array with digital signal processing, so that as the spatial filtering methods we use maximum likelihood method; recursive matrix inversion method; side-lobe cancellation method; logic signal processing method. It is underlined that algorithms of realizating aforementioned radar electronic counter-countermeasures methods create the basis for developing active models of state-of-the art ground-based radar systems functioning. The developed models are exploited for experimental research of comparative analyzing the efficiency of four chosen methods of radar electronic counter-countermeasures, so that the severe jam influence upon radar system with planar antenna array is investigated by Monte-Carlo method realized on the basis of special software. The developed models allow substantiating main technical requirements for planar antenna arrays with digital signal processing of perspective radar systems operating amid influence of on-board electronic warfare means of UAVs and/ or aircrafts. We develop the field pattern model of planar antenna array with rectangular element arrangement allowing us investigate both beamforming process and side-lobe levels. As a criterion of spatial filtering efficiency we introduce correlation coefficient between the received signal and the signal in the output of antenna array obtained after spatial filtering which value must increase 0.5. We analyze the computational complexity of four aforementioned methods of spatial filtering and estimate computational capacity of signal processing system in floating-point operations per second that is necessary to realize these four methods. We conclude that the most efficient methods of spatial filtering are both maximum likelihood and recursive matrix inversion methods however they require the higher computational capacity of signal processing system.

Author Biographies
  1. Volodymyr Tverdokhlibov, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    Candidate of Science (Tech) Senior Researcher

  2. Andrey Popov, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    Candidate of Science (Tech) Leading Researcher

  3. Sergey Zibin, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    Candidate of Science (Tech) Senior Researcher

     
  4. Lubov Biloborodova, Central Scientific Research Institute of Armament and Military Equipment of the Armed Forces of Ukraine

    PhD Candidate

References

Buckley K.M. Spatial / spectral filtering with linearly-constrained minimum variance beamformers, IEEE Trans. on ASSP, ASSP-35, 1987, pp. 249 — 266. https://ieeexplore.ieee.org/document/1165142

https://doi.org/10.1109/TASSP.1987.1165142 DOI: https://doi.org/10.1109/TASSP.1987.1165142

Frost O.L. An algorithm for linearly constrained adaptive array processing, Proc. IEEE, 60, 1972, pp. 926—935. DOI: https://doi.org/10.1109/PROC.1972.8817

Van Veen B., Buckley K. Beamforming: a versatile approach to spatial filtering. IEEE ASSP Magazine, 5 (2), 1988, pp. 4 — 24.

https://doi.org/10.1109/53.665 DOI: https://doi.org/10.1109/53.665

Haykin S. Advances in Spectrum Analysis and Array Processing. Volumes 1 and 2. Englewood Cliffs, NJ, Prentice Hall, 1991.

Johnson D.H., Dudgeon D.E. Array Signal Processing: Concepts and Methods. Englewood Cliffs, NJ, Prentice Hall, 1992.

Haykin S. Advances in Spectrum Analysis and Array Processing. Volume 3. Englewood Cliffs, NJ, Prentice Hall, 1995.

Buckley K.M., Douglass S.C., Sayed A.H., Van Veen B., et al. Digital Signal Processing Handbook. Edited by V.K. Madisetti and D.B. Williams. - CRC Press, 1999. - 1690 p.

Monzingo R.A, Miller T.W., Haupt R.L. Introduction to Adaptive Arrays. 2nd Ed. SciTech Publishing, 2011. – 686 p. DOI: https://doi.org/10.1049/SBEW046E

Grundinger A. Statistical Robast Beamforming for Broadcast Channels and Applications in Satellite Communication. Springer, 2020. – 261 p. DOI: https://doi.org/10.1007/978-3-030-29578-3_6

Bryn F. Optimum Signal Processing of Three-Dimensional Arrays Operating on Gaussian Signals and Noise // J. Acoust. Soc. Am., Vol. 34, No. 3, 1962. pp. 289—297.

DOI: https://doi.org/10.1121/1.1928112 DOI: https://doi.org/10.1121/1.1928112

Barton D.K. Radar System Analysis and Modeling. Artech House, 2005. – 564 p.

Budge M.C., German S.R. Basic Radar Analysis. Artech House, 2015. – 728 p.

Meikle H. Modern Radar Systems. Artech House, 2008. – 724 p.

Novel Radar Techniques and Applications. (Klemm R., Nickel U., Gierull C., et al. – Eds.) v.1, 2. SciTech Publishing, 2017. – 952 p., – 554 p.

Melvin W.L., Scheer J.A. Principles of Modern Radar. v. 2. Advanced Techniques. SciTech Publishing, 2013.– 876 p. DOI: https://doi.org/10.1049/SBRA020E

Radar Handbook. (Skolnik M.L. – Edr.) 3d Ed. McGraw-Hill, 2008. – 1352 p.

Tuzlukov V. Signal Processing in Radar Systems. CRC Press, 2013. – 625 p.

Свид І.В. Обробка радіолокаційної інформації систем спостереження повітряного простору. Дніпро: Ліра ЛТД, 2022. – 224 с. DOI: https://doi.org/10.30837/978-966-981-694-8

Рябуха В.П. Адаптивные системы защиты РЛС от шумовых помех. 1. Корреляционные автокомпенсаторы на основе стохастических градиентных алгоритмов адаптации// Прикладная радиоэлектроника, 2016, т.15, №1. с. 11—25.

Рябуха В.П. Адаптивные системы защиты РЛС от шумовых помех. 2. Квазиньютоновские корреляционные автокомпенсаторы. Адаптивные решетчатые фильтры// Прикладная радиоэлектроника, 2016, т.15, №2. с. 88—99.

Рябуха В.П. Адаптивные системы защиты РЛС от шумовых помех. 3. Математическая модель системы пространственной обработки сигналов в РЛС с двухмерной плоской ФАР// Прикладная радиоэлектроника, 2016, т.15, №4. с. 301—315.

Мезенцев О.В., Шовкошитний І.І., Капась М.А. Спосіб підвищення швидкодії адаптивних систем обробки сигналів радіолокаційних головок самонаведення літальних апаратів// Сучасні інформаційні технології у сфері безпеки та оборони, № 1 (49), 2024. с. 105—110.

Popoff A.A. Fundamentals of Signal Processing in Generalized Metric Spaces: Algorithms and Applications. CRC Press, 2022. – 450 p. DOI: https://doi.org/10.1201/9781003275855

Теоретические основы моделирования и оценки эффективности систем вооружения. Под. ред.. Г.И. Андреева. Тверь: ВУ ПВО, 2000. – 380 с.

Надежность и эффективность в технике: в 10 томах. Т. 3. Эффективность технических систем. Под ред. В.Ф. Уткина, Ю.В. Крючкова. М.: Машиностроение, 1988. – 328 с.

Чумаков Н.М., Серебряный Е.И. Оценка эффективности сложных технических устройств. М.: Сов. радио, 1980. – 192 с.

Metropolis N., Ulam S. The Monte Carlo method // Journal of American Statistical Association. 1949, v.44, # 247, pp. 335 – 341. DOI: https://doi.org/10.1080/01621459.1949.10483310

Fishman G.S. Monte Carlo: Concepts, Algorithms, and Applications. Springer, 1996. DOI: https://doi.org/10.1007/978-1-4757-2553-7

Бусленко Н.П., Шрейдер Ю.А., Страгович В.Г., Соболь И.М., Голенко Д.И. Метод статистических испытаний. М.: Физматлит, 1962.

Leonov S.A. Handbook of Computer Simulation in Radio Engineering, Communications, and Radar. Artech House, 2001.

Welch M., Pywell M. Electronic Warfare Test and Evaluation. NATO Research and Technology Organization, 2012. – 314 p.

Adamy D.L. Introduction to Electronic Warfare Modeling and Simulation: Radar, Sonar and Navigation. Scitech Publishing, 2006. – 242 p. DOI: https://doi.org/10.1049/SBRA011E

Park S.R., Nam I., Noh S. Modeling and simulation for investigation of radar responses to electronic attacks in Electronic Warfare environments // Hindawi Security and Communications Networks.

Modern Antenna Handbook. Edited by C.A. Balanis. John Wiley & Sons, Hoboken, NJ, 2008. – 1700 p.

DOI: https://doi.org/10.1002/9780470294154 DOI: https://doi.org/10.1002/9780470294154

Antenna Engineering Handbook. Edited by R.C. Johnson. McGraw-Hill, 1993. – 1512 p.

Tabeart J.M., Dance S.L., Lawless A.S., Nichols N.K., Waller J.A. Improving the condition number of estimated covariance matrices// Tellus A: Dynamic Meteorology and Oceanography, 72 (1), 2020. pp. 1—19. DOI: https://doi.org/10.1080/16000870.2019.1696646

Golub G.H., Van Loan C.F. Matrix Computations. – 4th Ed. JHU Press, 2013. – 756 p. DOI: https://doi.org/10.56021/9781421407944

Тихонов А.Н., Арсенин В.Я. Методы решения некорректных задач. – 3-е изд. М.: Наука, 1986. DOI: https://doi.org/10.4064/-3-1-297-342

Попов, А.О., Твердохлібов, В.В., Білобородова, Л.В. (2025). Аналіз можливостей використання планарних антенних решіток у перспективних зразках техніки радіоелектронної боротьби з бортовими радіолокаційними системами засобів повітряного нападу. Озброєння та військова техніка, 45(1), 75–83.

DOI: https://doi.org/10.34169/2414-0651.2025.1(45).75-83 DOI: https://doi.org/10.34169/2414-0651.2025.1(45).75-83

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Published
2026-06-30
Issue
Vol. 50 No. 2 (2026): Weapons and Military Equipment
Section
RADIO-TECHNICAL FACILITIES
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Copyright (c) 2026 Володимир Твердохлібов,Андрій Попов,Сергій Зібін,Любов Білобородова

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How to Cite

Comparative analyzing the efficiency of four methods of spatial signal filtering amid jam conditions in radar system with planar antenna array. (2026). Weapons and Military Equipment, 50(2), 32-43. https://doi.org/10.34169/2414-0651.2026.2(50).32-43

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