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New Design of Wavelets Based on the Convolution of Compactly Supported Functions with a Rectangular Pulse

  • THEORY AND METHODS OF SIGNAL PROCESSING
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Abstract

A new design of wavelets based on the convolution of a compactly supported function with a rectangular pulse is proposed and theoretically substantiated and an efficient scheme for calculating wavelet values is presented. The uncertainty constants are calculated. It is established that the obtained wavelets have properties similar to those of the Meyer and Kravchenko wavelets but surpass the latter in the time‒frequency localization quality.

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Authors and Affiliations

  1. Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, 125009, Moscow, Russia

    V. F. Kravchenko

  2. Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, 117342, Moscow, Russia

    V. F. Kravchenko

  3. Bauman Moscow State Technical University, 105005, Moscow, Russia

    V. F. Kravchenko & Ya. Yu. Konovalov

Authors
  1. V. F. Kravchenko
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  2. Ya. Yu. Konovalov
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Corresponding authors

Correspondence to V. F. Kravchenko or Ya. Yu. Konovalov.

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The authors declare that they have no conflicts of interest.

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Translated by E. Bondareva

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Kravchenko, V.F., Konovalov, Y.Y. New Design of Wavelets Based on the Convolution of Compactly Supported Functions with a Rectangular Pulse. J. Commun. Technol. Electron. 67, 952–964 (2022). https://doi.org/10.1134/S1064226922080095

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  • DOI: https://doi.org/10.1134/S1064226922080095

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