A parametric family of spline-based finite impulse response filters and a method for finding the optimal parameter

K. A. Budunova; Будунова К. А.; V. F. Kravchenko; Кравченко В. Ф.

doi:10.31857/S003384942309005X

A parametric family of spline-based finite impulse response filters and a method for finding the optimal parameter

Authors: Budunova K.A.¹, Kravchenko V.F.¹^,2
Affiliations:
1. Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences
2. Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences
Issue: Vol 68, No 9 (2023)
Pages: 864-872
Section: К 70-ЛЕТИЮ ИРЭ ИМ. В.А. КОТЕЛЬНИКОВА РАН
URL: https://journals.rcsi.science/0033-8494/article/view/138403
DOI: https://doi.org/10.31857/S003384942309005X
EDN: https://elibrary.ru/RLGIPL
ID: 138403

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Abstract
About the authors
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Abstract

A new parametric family of filters with finite impulse response is proposed based on convolutions of splines with a rectangular impulse. An algorithm for searching for a parameter that optimizes the deviation of the amplitude-frequency characteristic in passbands and suppression bands. A numerical experiment was carried out, which involved comparing research of new filters with window filters and optimal Chebyshev filters.

Keywords

new parametric family of filters, splines with a rectangular impulse, window filter, optimal Chebyshev filter

About the authors

K. A. Budunova

Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences

Email: 1917schw@mail.ru
Moscow, 125009 Russia

V. F. Kravchenko

Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences; Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences

Author for correspondence.
Email: 1917schw@mail.ru
Moscow, 125009 Russia; Moscow, 117342 Russia

References

Кравченко В.Ф., Кравченко О.В. Конструктивные методы алгебры логики, атомарных функций, вейвлетов, фракталов в задачах физики и техники / Под ред. В.Ф. Кравченко. М.: Техносфера, 2018.
Кравченко В.Ф., Чуриков Д.В. Цифровая обработка сигналов атомарными функциями и вейвлетами. М.: Техносфера, 2019.
Будунова К.А., Кравченко В.Ф., Пустовойт В.И. // РЭ. 2019. Т. 64. № 10. С. 984.
Budunova K.A., Kravchenko V.F. // Proc. 2021 Photonics and Electromagnetics Research Symp. (PIERS). Hangzhou, 21–25 Nov. N.Y.: IEEE, 2021. P. 270.
Будунова К.А., Кравченко В.Ф., Пустовойт В.И. // РЭ. 2021. Т. 66. № 11. С. 1085.
Демьянов В.Ф., Малоземов В.Н. Введение в минимакс. М.: Наука, 1972.
Айфичер Э.С., Джервис Б.У. Цифровая обработка сигналов. М.: ИД “Вильямс”, 2008.
Дворкович В.П., Дворкович А.В. Оконные функции для гармонического анализа сигналов. М.: Техносфера, 2016.