Work

Orthogonal Polynomials in the Problems of Digital Information Processing

Year: 2023

Type: article

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 conducted.

Source: Journal of Engineering Research and Sciences

DOI: 10.55708/js0205001

Authors: Yaroslav Pyanylo, Valentyna Sobko, Halyna Pyanylo, Oksana Pyanylo

Institutions: National Academy of Sciences of Ukraine, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4383671533

FWCI: 0.643

Cites: 7

Cited by: 3

Related to: 10