A new class of discrete orthogonal polynomials for blind fitting of finite data

Author

Gamboa-Rosales, Hamurabi ; Morales-Mendoza, Luis J. ; Shmaliy, Yuriy S.

Author_Institution

Dept. of Electron., Univ. Autonoma de Zacatecas, Zacatecas, Mexico

fYear

2013

fDate

Sept. 30 2013-Oct. 4 2013

Firstpage

185

Lastpage

190

Abstract

We show that the polynomial unbiased finite impulse response (UFIR) functions derived by Shmaliy establish a new class of a one-parameter family of discrete orthogonal polynomials (DOP). Unlike the classical finite-data DOP, the UFIR polynomials depend on only one parameter - the length of finite data. This makes them highly attractive for L-order blind fitting and representation of informative processes. Examples of applications are given for voice phoneme analysis and approximation in a comparison with the Hahn´s polynomials.

Keywords

FIR filters; polynomials; DOP; L-order blind fitting; UFIR functions; UFIR polynomials; discrete orthogonal polynomials; finite data; informative process representation; one-parameter family; polynomial unbiased finite impulse response functions; voice phoneme analysis; Chebyshev approximation; Cities and towns; Electrical engineering; IEEE catalog; Noise; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering, Computing Science and Automatic Control (CCE), 2013 10th International Conference on

Conference_Location

Mexico City

Print_ISBN

978-1-4799-1460-9

Type

conf

DOI

10.1109/ICEEE.2013.6676049

Filename

6676049