UDC 007.629.735 (045) DOI:10.18372/1990-5548.61.14207
Ya. D. Pyanylo. Orthogonal Multiples in Digital Processing Problems // Electronics and Control Systems, N 3(61) – Kyiv: NAU, 2019. – pp.18–23.
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.
Index Terms— Orthogonal polynomials; spectral methods; data processing, identification tasks.
References: 15 names.