小波采样的滤波算法研究  

Wavelet Filtering Algorithm of Wavelet Sampling

作　　者：张治国[1] 黄建国[1] 刘震[1] 

机构地区：[1]电子科技大学自动化工程学院,成都610054

出　　处：《电子科技大学学报》2010年第6期900-905,共6页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(60474069)

摘　　要：针对经典小波采样理论不能如同香农定理应用采样值对连续信号进行滤波,该文在小波采样存在条件下,提出一种基于采样值的小波滤波算法。该算法突破经典小波采样理论仅研究单个Hilbert空间信号重构的局限性,从多分辨分析逼近出发,基于采样值构建信号逼近准则函数,进而计算信号在小波空间的正交投影,实现小波滤波。仿真试验证明该算法能够有效地基于采样值,对连续信号进行小波滤波。A new algorithm of wavelet sampling is proposed since the typical wavelet sampling lacks the capacity to filter the continuous signal by the samples as Shannon sampling does.From the viewpoint of Multiresolution approximation,a new cost function based on the samples is introduced to estimate the approximation of signal in this algorithm,so that the signal is decomposed into the orthogonal components,which has break through the limit of typical wavelet sampling that only considers the construction of signal in one Hilbert space.

关 键 词：离散信号处理 采样理论 信号滤波 小波分析 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]