ORTHOGONAL MULTIPLES IN DIGITAL PROCESSING PROBLEM

Authors

  • Ya. D. Pyanylo Center for Mathematical Modeling of the Institute of Applied Problems of Mechanics and Mathematics. Y. S. Podstryhach of the National Academy of Sciences of Ukraine, Lviv

DOI:

https://doi.org/10.18372/1990-5548.61.14207

Keywords:

Orthogonal polynomials, spectral methods, data processing, identification tasks

Abstract

The paper deals with the application of classical orthogonal Jacobi and Chebyshev–Lagerra polynomials to solving digital information processing problems and solving Volterra convolution integral equations, used to solve the problem of remote sensing of the Earth and the problem of identification of natural objects. The presence of two free parameters in Jacobi polynomials satisfies the conditions under which the problem of approximation of signals is solved, and the use of Chebyshev–Lagerra polynomials avoids the sampling procedures for solving Voltaire type integral equations.

Author Biography

Ya. D. Pyanylo, Center for Mathematical Modeling of the Institute of Applied Problems of Mechanics and Mathematics. Y. S. Podstryhach of the National Academy of Sciences of Ukraine, Lviv

Doctor of Engineering. Senior Research Fellow

References

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Issue

Vol. 3 No. 61 (2019)

Section

THEORY AND METHODS OF SIGNAL PROCESSING

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