Title :
Optimal parametrization of truncated generalized Laguerre series
Author :
Belt, Harm J W ; Den Brinker, Albertus C.
Author_Institution :
Eindhoven Univ. of Technol., Netherlands
Abstract :
In this paper we address the problem of approximating functions on a semi-infinite interval by truncated series of orthonormal generalized Laguerre functions. The generalized Laguerre functions contain two parameters, namely a scale factor and an order of generalization. The rate of convergence of a generalized Laguerre series depends on the choice of these parameters. Results concerning the determination of the two parameters are presented
Keywords :
approximation theory; convergence of numerical methods; function approximation; optimisation; polynomials; series (mathematics); signal processing; stochastic processes; approximating functions; convergence; optimal parametrization; orthonormal generalized Laguerre functions; scale factor; semi-infinite interval; truncated generalized Laguerre series; Belts; Convergence; H infinity control; Polynomials;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.604708
