基于尺度能量参数的子波变换及其应用  

Wavelet Transform Based on Scale-Energy Parameter and Its Application

作　　者：汤韩杰[1] 袁晓[1] 张少文[2] 帅晓飞[1] 

机构地区：[1]四川大学电子信息学院,成都610064 [2]北京市水利科学研究所,北京100044

出　　处：《数据采集与处理》2007年第2期178-184,共7页Journal of Data Acquisition and Processing

摘　　要：提出基于尺度能量参数的子波变换方法。首先给出了尺度能量参数的概念,讨论基于这一参数的子波变换的时频特性,然后推导基于尺度能量参数的子波变换的逆变换,给出并证明其容许性条件成立的充分条件。文中给出基于尺度能量参数的子波变换中尺度与波长的关系,并且分析了一组黄河上游年径流量数据。研究结果表明,基于尺度能量参数的子波变换能够放大、突出不同尺度下的信号特征。A method for wavelet transform based on scale-energy parameter is proposed. Firstly, a brief concept about the traditional wavelet transform is given, and the scale-energy parameter is proposed. Then the wavelet transform based on the scale-energy parameter is constructed, the properties of time-frequency space involved in the wavelet transform are investigated. The inverse wavelet transform based on the scale-energy parameter is deduced, and the sufficient condition which makes the admissibility condition be satisfied is presented and proved. The relationship between the scale and the wavelength is given, and a natural annal flow time series in the upper reach of the Yellow River is analyzed. Experimental results show that using the wavelet transform based on scale-energy parameter, the localized signal features can be magnified at different scales.

关 键 词：子波变换 容许性条件 尺度指标 局部特征 

分 类 号：TN911.6[电子电信—通信与信息系统]