Article 8321

Title of the article

Synthesis of recursive rejection filters in transient mode 


Dmitriy I. Popov, Doctor of engineering sciences, professor, professor of the sub-department of radio engineering systems, Ryazan State Radio Engineering University named after V. F. Utkin (59/1 Gagarina street, Ryazan, Russia), E-mail: 

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Background. The object of the study is a recursive rejection filter (RF) designed to isolate radar signals of moving targets against the background of passive interference in the form of interfering reflections from stationary or slowly moving objects. The purpose of this research is to synthesize an improved block diagram of a recursive rejection filter with an accelerated transient process at its output. Materials and methods. Based on the method of state variables, which gives an adequate description of filters in the time domain, the RF structure is synthesized in the transient mode, which is improved in order to accelerate the transient process when a passive interference edge arrives. Results. The improvement of the RF structure in the transition mode is achieved by its restructuring, which is carried out by switching the RF output and reverse connections. At the same time, the established values of the decorrelated rejection residuals of the nonrecursive part of the filter are transmitted to the RF output and to the feedbacks, which practically eliminate the “ringing” in the feedbacks caused by the average value and fluctuations of the interference samples and significantly accelerate the transient process at the RF output. A block diagram of the RF being reconstructed in the transient mode by switching recursive links is proposed. Conclusions. Solving the problem of accelerating the transition process of recursive RF allows you to really use the wide possibilities of forming the required characteristics of the RF and their flexible management. 

Key words

state variable method, passive interference, structure rearrangement, transient, notch filters, acceleration

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1. Skolnik M.I. Radar Handbook. 3rd ed. McGraw–Hill, 2008:1352.
2. Melvin W.L., Scheer J.A. Principles of Modern Radar: Advanced Techniques. New York: SciTech Publishing, IET, Edison, 2013:846.
3. Richards M.A. Fundamentals of Radar Signal Processing, Second Edition. New York: McGraw–Hill Education, 2014:618.
4. Kuz'min S.Z. Tsifrovaya radiolokatsiya. Vvedenie v teoriyu = Digital radar. Introduction to theory. Kiev: KViTs, 2000:428.
5. Popov D.I. Adaptation of non-recursive rejection filters. Izvestiya vuzov. Radioelektronika = University proceedings. Radioelectronics. 2009;52(4):46–55. (In Russ.)
6. Popov D.I. Analysis of the efficiency of passive interference’s suppression with rejection filters. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Tekhnicheskie nauki = University proceedings. Volga region. Engineering sciences. 2018;(2):87–95. (In Russ.)
7. Popov D.I. Optimization of digital signal processing systems. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Tekhnicheskie nauki = University proceedings. Volga region. Engineering sciences. 2017;(1):96–105. (In Russ.)
8. Direktor S., Rorer R. Vvedenie v teoriyu sistem: per. s angl. = Introduction to systems theory: translated from English. Moscow: Mir, 1974:464. (In Russ.)


Дата создания: 09.12.2021 08:49
Дата обновления: 09.12.2021 09:43