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Construction of Wavelets Based on Exponential Atomic Functions hupa(x) and Harmonic Functions scupb(x) and gk(x)

  • TO THE 70th ANNIVERSARY OF THE INSTITUTE OF RADIOENGINEERING AND ELECTRONICS, RUSSIAN ACADEMY OF SCIENCES
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Abstract

The possibility of constructing wavelets based on convolutions with a rectangular impulse of exponential and harmonic atomic functions has been studied. Some properties of exponential and harmonic atomic functions are considered. The values of the uncertainty constants of the constructed wavelets are calculated.

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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

    Ya. Yu. Konovalov

Authors
  1. V. F. Kravchenko
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  2. Ya. Yu. Konovalov
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Correspondence to Ya. Yu. Konovalov.

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Kravchenko, V.F., Konovalov, Y.Y. Construction of Wavelets Based on Exponential Atomic Functions hupa(x) and Harmonic Functions scupb(x) and gk(x). J. Commun. Technol. Electron. 68, 1140–1150 (2023). https://doi.org/10.1134/S106422692310008X

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