Geodesic
Approximation of correlation function and power spectral density with Sonin--Laguerre orthogonal functions
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 185-191.

Voir la notice de l'article provenant de la source Math-Net.Ru

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, random process, power spectrum density.
Mots-clés : Fourier transformation 
@article{VSGTU_2008_2_a19,
     author = {S. A. Prokhorov and I. M. Kulikovskikh},
     title = {Approximation of correlation function and power spectral density with {Sonin--Laguerre} orthogonal functions},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {185--191},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a19/}
}
TY  - JOUR
AU  - S. A. Prokhorov
AU  - I. M. Kulikovskikh
TI  - Approximation of correlation function and power spectral density with Sonin--Laguerre orthogonal functions
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2008
SP  - 185
EP  - 191
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a19/
LA  - ru
ID  - VSGTU_2008_2_a19
ER  - 
%0 Journal Article
%A S. A. Prokhorov
%A I. M. Kulikovskikh
%T Approximation of correlation function and power spectral density with Sonin--Laguerre orthogonal functions
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2008
%P 185-191
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a19/
%G ru
%F VSGTU_2008_2_a19
S. A. Prokhorov; I. M. Kulikovskikh. Approximation of correlation function and power spectral density with Sonin--Laguerre orthogonal functions. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 185-191. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a19/

[1] Prokhorov S. A., Kulikovskikh I. M., “Chastotnye kharakteristiki ortogonalnykh funktsii Sonina–Lagerra”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2007, no. 2(15), 123–127 | DOI

[2] S. A. Prokhorov (red.), Prikladnoi analiz sluchainykh protsessov, SNTs RAN, Samara, 2007, 582 pp.