Abstract
In this paper, we propose a new parametric family of filters with a finite impulse response based on convolutions of splines with a rectangular pulse. An algorithm for searching for a parameter that optimizes the deviation of the magnitude response in the pass and stop bands was developed and theoretically substantiated. A numerical experiment, which consists in comparing the new filters with window filters and optimal Chebyshev filters, was carried out.
REFERENCES
V. F. Kravchenko and O. V. Kravchenko, Constructive Methods of Boolean Algebra, Atomic Functions, Wavelets, and Fractals in Physics and Technology, Ed. by V. F. Kravchenko (Tekhnosfera, Moscow, 2018) [in Russian].
V. F. Kravchenko and D. V. Churikov, Digital Signal Processing by Atomic Functions and Wavelets, Ed. by V. F. Kravchenko (Tekhnosfera, Moscow, 2019), additional circulation 300 copies [in Russian].
K. A. Budunova, V. F. Kravchenko, and V. I. Pustovoit, J. Commun. Technol. Electron. 64, 1095 (2019).
K. A. Budunova and V. F. Kravchenko, Proc. Progress in Electromagnetics Research Symp. (PIERS), (2021).
K. A. Budunova and V. F. Kravchenko, J. Commun. Technol. Electron. 66, 1252 (2021).
V. F. Dem’yanov and V. N. Malozemov, Introduction to Minimax (Dover Publications, New York, 2014).
E. C. Ifeachor and B. W. Jervis, Digital Signal Processing—A Practical Approach (Prentice Hall, London, 2002; Vilyams, Moscow, 2008).
V. P. Dvorkovich and A. V. Dvorkovich, Window Functions for Harmonic Signal Analysis (Tekhnosfera, Moscow, 2016) [in Russian].
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Translated by A. Ivanov
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Budunova, K.A., Kravchenko, V.F. Parametric Filter Family with a Finite Impulse Response Based on Splines and a Method for Searching for the Optimal Parameter. J. Commun. Technol. Electron. 68, 952–959 (2023). https://doi.org/10.1134/S106422692309005X
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DOI: https://doi.org/10.1134/S106422692309005X