映射滤波器信号复小波变换的物理特性-陕西师范大学学报期刊社网站

陕西师范大学学报（自然科学版）

专题研究

映射滤波器信号复小波变换的物理特性

徐春龙1,2，王晋国2，廖祖文3，朱峰1

(1 陕西师范大学物理学与信息技术学院，陕西西安 710062；2 长安大学理学院，陕西西安 710064； 3 中国人民解放军94402部队，山东济南 250002)

徐春龙，男，讲师，博士研究生,主要从事大功率超声研究．

摘要:

依据信号处理中全通滤波器的理论，设计了从L2(R)到Softy空间的无畸变映射滤波器，分析了该滤波器的特征,研究了在有冗余和无冗余条件下基于该映射滤波器的复小波正、逆变换．结果表明，基于映射滤波器的复小波变换在理论上是完全可行的．由于该变换具有相位信息，可用于阵列信号处理和信号的方向性检测．

关键词：

滤波器; Softy空间; 复小波变换

收稿日期：

2006-06-15

中图分类号：

TN91172

文献标识码：

文章编号：

1672-4291(2007)02-0043-04

基金项目：

国家自然科学基金资助项目（40674064）

Doi:

The physical characteristics of signal complex wavelet transform based on projection filter

XU Chun-long1, 2, WANG Jin-guo2, LIAO Zu-wen3, ZHU Feng1

(1 College of Physics and Information Technology, Shaanxi Normal University, Xi′an 710062, Shaanxi, China; 2 College of Science, Chang′an University, Xi′an 710064, Shaanxi, China; 3 No. 94402 Unit of The People′s Liberation Army, Ji′nan 250002, Shandong, China)

Abstract:

According to the ideas of all-pass filter, the projection filter without aberration based on complex wavelet transform from L2(R) to softy space is designed and the characteristics are analyzed. Under the conditions of redundancy and non-redundancy, the complex wavelet transform and inverse transform of the filter are proved. The results show that the theory of projection filter based on complex wavelet transform is correct and viable. Due to having the phase information, the method can be used in array signal processing and signal's direction detection.

KeyWords:

filter; Softy space; complex wavelet transformation;