Orthonormal wavelets with simple closed-form expressions

被引：18

作者：

Walter, GG ^{[1
]}

Zhang, J

机构：

[1] Univ Wisconsin, Dept Math, Milwaukee, WI 53201 USA

[2] Univ Wisconsin, Dept Elect Engn & Comp Sci, Milwaukee, WI 53201 USA

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1998年 / 46卷 / 08期

基金：

美国国家科学基金会;

关键词：

Bandpass filters - Digital communication systems - Intersymbol interference - Low pass filters - Polynomials - Wavelet transforms;

D O I：

10.1109/78.705452

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：

Two classes of orthonormal wavelets that have simple closed form expressions are derived from pulses with the raised-cosine spectrum. These wavelets, which are bandlimited and polynomial-decaying in time, are found to be particular examples of the Lemarie-Meyer wavelets. The derivation reveals interesting connections between wavelet construction and intersymbol interference (ISI)-free signaling for digital communications.

引用

页码：2248 / 2251

页数：4

共 10 条

[1] THE WAVELET TRANSFORM, TIME-FREQUENCY LOCALIZATION AND SIGNAL ANALYSIS [J].