New discrete orthogonal moments for signal analysis

被引：15

作者：

Asli, Barmak Honarvar Shakibaei ^{[1
]}

Flusser, Jan ^{[1
,2
]}

机构：

[1] Acad Sci Czech Republ, Inst Informat Theory & Automat, Pod Voddrenskou Vezi 4, CR-18208 Prague 8, Czech Republic

[2] Univ Econ, Fac Management, Jindrichuv Hrade, Czech Republic

来源：

SIGNAL PROCESSING | 2017年 / 141卷

关键词：

Orthogonal polynomials; Moment functions; Z-transform; Rodrigues formula; Hypergeometric form; IMAGE-ANALYSIS; FIR;

D O I：

10.1016/j.sigpro.2017.05.023

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：

The paper addresses some computational aspects and applications of the polynomial unbiased finite impulse response functions originally derived by Shmaliy as a new class of a one-parameter family of discrete orthogonal polynomials. We present two new explicit formulas to compute these polynomials directly. They are based on the discrete Rodrigues' representation and hypergeometric form, respectively. These straightforward calculations lead us to propose another discrete signal representation in moment domain. Experimental results show a comparison between the proposed moments and discrete Chebyshev moments in terms of noise-free/noisy signal feature extraction and reconstruction error. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：57 / 73

页数：17

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