Abstract

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Symmetry: Culture and Science
Volume 37, Number 2, pages 169-177 (2026)
https://doi.org/10.26830/symmetry_2026_2_169

BIONIC WALSH FUNCTIONS FOR SIGNAL PROCESSING

I. V. Stepanyan^1*, M. Y. Lednev²

¹ Mechanical Engineering Research Institute of the Russian Academy of Sciqences (IMASH RAN) 4, M. Kharitonyevskiy Pereulok, 101990 Moscow, the Russian Federation
Email: neurocomp.pro@gmail.com
ORCID: 0000-0003-3176-5279

² Mechanical Engineering Research Institute of the Russian Academy of Sciqences (IMASH RAN) 4, M. Kharitonyevskiy Pereulok, 101990 Moscow, the Russian Federation
Email: miklesus@mail.ru
ORCID: 0000-0002-5919-0190

^* Corresponding author

Abstract: This article is devoted to the analysis of the Hadamard matrices, which form the basis for describing the genetic coding model as a tool for digital signal processing. Within the framework of this study, a comprehensive assessment of the noise immunity properties of algorithms operating on the principles of DNA coding was carried out. For modelling and analysis, sinusoidal signals were used, which were subjected to binary-orthogonal transformations using a triple of Walsh functions encoding the parameters of nucleotides. This approach allowed us to obtain representative data on the characteristics of algorithms. The results obtained demonstrate the potential of using DNA technologies in the field of noise-proof coding, opening new perspectives for the development of information systems and human-machine-environment interfaces

Keywords: spectral analysis, Walsh functions, digital signal processing, bioinspired methods, noise immunity, fractal theory

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