Wavelet filtering of signals without using model functions

Yurii Taranenko; Nina Rizun

doi:10.3103/s0735272722020042

Wavelet filtering of signals without using model functions

Abstract

The effective wavelet filtering of real signals is impossible without determining their shape. The shape of a real signal is related to its wavelet spectrum. For shape analysis, a continuous color wavelet spectrogram of signal level is often used. The disadvantage of continuous wavelet spectrogram is the complexity of analyzing a blurry color image. A real signal with additive noise strongly distorts the spectrogram based on continuous wavelet analysis compared to a pure signal. Therefore, the identification of a real signal by using a continuous color wavelet spectrogram is difficult. To solve this problem, for the first time, a comparative analysis of spectrograms of signals and correlation matrices is carried out. The spectrograms of signals are obtained based on continuous wavelet transformation in the form of images with areas of different colors of variable intensity. To filter the identified signal, a recursive algorithm was used, consisting of successive iterations of the filtering parameters in order to reduce the error. The study of the algorithm on groups of twenty special signals showed a decrease in the number of iterations in comparison with known methods. Correlation matrices are computed by using mathematical functions of the coefficients of discrete wavelet spectra

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Authors (2)

Yurii Taranenko professor
- Private Enterprise Likopak, Dnipro, Ukraine
Nina Rizun dr

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Publication version: Accepted or Published Version
DOI:: Digital Object Identifier (open in new tab) 10.3103/S0735272722020042
License: Copyright (2022 Allerton Press, Inc.)

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Details

Category:: Articles
Type:: artykuły w czasopismach
Published in:: Radioelectronics and Communications Systems no. 65, pages 96 - 109,
ISSN: 0735-2727
Language:: English
Publication year:: 2022
Bibliographic description:: Taranenko Y., Rizun N.: Wavelet filtering of signals without using model functions// Radioelectronics and Communications Systems -Vol. 53,iss. 2 (2022), s.96-109
DOI:: Digital Object Identifier (open in new tab) 10.3103/s0735272722020042
Verified by:: Gdańsk University of Technology