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

被引：18
|
作者：
Morales-Mendoza, Luis J. [1 ]
Gamboa-Rosales, Hamurabi [2 ]
Shmaliy, Yuriy S. [3 ]
机构：
[1] Univ Veracruzana, Dept Elect Engn, Poza Rica 93390, Mexico
[2] Univ Autonoma Zacatecas, Dept Elect Engn, Zacatecas 98000, Mexico
[3] Univ Guanajuato, Dept Elect Engn, Salamanca 36855, Gto, Mexico
来源：
SIGNAL PROCESSING | 2013年 / 93卷 / 07期
关键词：
Unbiased finite impulse response; Discrete orthogonal polynomials; Approximation; Analysis; IMAGE-ANALYSIS; FIR FILTER; MOMENTS; PREDICTORS; SPEECH; MODELS;
D O I：
10.1016/j.sigpro.2013.01.023
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
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). The most noticeable distinction of these polynomials with respect to the classical Meixner, Charlier, Hahn, and Krawtchouk DOP is dependence on only one parameter the length of finite data. This makes them highly attractive for L-order blind fitting and analysis of informative processes. Properties of the UFIR polynomials are considered in detail along with the moments and recurrence relation. Examples of applications are given to blind approximation and phoneme pitch analysis. (C) 2013 Elsevier B.V. All rights reserved.
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页码：1785 / 1793
页数：9
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