This article is cited in 1 paper

Mathematical Modeling

Approximation of correlation function and power spectral density with Sonin–Laguerre orthogonal functions

S. A. Prokhorov, I. M. Kulikovskikh

S. P. Korolyov Samara State Aerospace University

Abstract: Approximate capabilities of Sonin–Laguerre orthogonal functions with predefined parameter of orthogonal basis are studied. Parameters of approximation expression are evaluated, that are used for construction of the models of correlation function and power spectral density in compliance with the minimal weighted quadratic error of approximation.

Keywords: approximation, correlation function, Sonin–Laguerre orthogonal basis, Fourier transformation, random process, power spectrum density.

UDC: 517.587+519.216

MSC: Primary 42C05, 33C45; Secondary 93B40

Original article submitted 12/V/2008
revision submitted – 14/X/2008

DOI: 10.14498/vsgtu636

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