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Author/Affiliation: Valentyna SobkoOrthogonal Polynomials in the Problems of Digital Information Processing
by Yaroslav Pyanylo, Valentyna Sobko, Halyna Pyanylo and Oksana Pyanylo
Journal of Engineering Research and Sciences, Volume 2, Issue 5, Page # 1-9, 2023; DOI: 10.55708/js0205001
Abstract: 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… Read More
(This article belongs to the Special Issue on SP2 (Special Issue on Computing, Engineering and Sciences 2022-23) and the Section Mathematics (MAT))