Construction of Symmetric and Semi-Orthogonal Scalar Wavelets Based on the Auto-Correlation Functions

被引：0

作者：

Cen Yigang ^{[1
]}

Liang Mangui ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Sch Comp & Informat Technol, Beijing, Peoples R China

来源：

PROCEEDINGS OF 2009 CONFERENCE ON COMMUNICATION FACULTY | 2009年

关键词：

semi-orthogonal wavelets; auto-correlation; construction of wavelets;

D O I：

暂无

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：

In the wavelet theory, the construction of symmetric and compactly supported scaling and wavelet functions is an important problem. For the scalar wavelet, except the Haar wavelet, there are no wavelets possess compactly supports, orthogonality and symmetry simultaneously. In this paper, based on the auto-correlation functions of the compactly supported scaling functions, a general construction approach for the construction of semi-orthogonal wavelets with compactly supports, symmetry and linear phase is proposed. Related proofs are also given.

引用

页码：390 / 393

页数：4

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