by Yaroslav Pyanylo 1,* , Valentyna Sobko 1 , Halyna Pyanylo 1 , Oksana Pyanylo 2
1 Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine Lviv, 79060, Ukraine
2 CodeTiburon, Kharkiv, Ukraine
* Author to whom correspondence should be addressed.
Journal of Engineering Research and Sciences, Volume 2, Issue 5, Page # 1-9, 2023; DOI: 10.55708/js0205001
Keywords: Spectral Methods, Digital Information Processing, Signal Approximation and Filtering, Object Identification
Received: 23 December 2022, Accepted: 24 April 2023, Published Online: 30 May 2023
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The paper examines spectral methods based on classical orthogonal polynomials for solving problems of digital information processing. Based on Jacobi polynomials, signal approximation methods are built to identify objects in the natural environment. Based on Chebyshev-Laguerre polynomials, methods of filtering multiplicative signal noises in linear filter models are proposed. Numerical experiments on model problems were conducted.
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