摘要
小波变换被广泛应用于信号数据压缩领域,如何选择小波基,达到用稀疏系数最优表示信号是提高压缩比的关键问题之一。该文提出了选用与信号波形最优相似的小波基压缩一维信号,并提出了构造此类小波基的方法。利用结构化小波滤波器组以及新的波形相似准则,给出了构造最优匹配小波基函数的算法。将此小波应用于一维信号数据压缩,结果表明,与其它的小波相比,所构造的最优匹配小波对信号具有更好的压缩性能,说明文中提出的方法是有效可行的。
Wavelet transform is widely used in data compression. How to choice the best wavelet base is a key point for improving the compression ratio. In ths paper, a idea of using wavelet base functions matching to signal which need to be compressed is put forward. A waveform matching criteria for contructing matche wavelets, which it used to compress the one-dimension signal, is given. The wavelet filter is constructed with an structuring filter banks and the criteria,and an example of compressing a one-dimension signal is presented. Compared with other wavelet filters, the matched wavelet filter is able to improve the performance of signal compression.
出处
《电子与信息学报》
EI
CSCD
北大核心
2007年第4期804-807,共4页
Journal of Electronics & Information Technology
基金
国家自然科学基金(60372047)资助课题
关键词
小波构造
匹配小波
滤波器组
数据压缩
Constrcution of wavelet
Matched wavelet
Filter banks
Data compression