波形匹配小波设计及其在信号数据压缩中的应用
doi: 10.3724/SP.J.1146.2006.00477
Signal Compression and Design of Wavelet Based on Waveform Matching
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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。
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关键词:
- 小波构造;匹配小波;滤波器组;数据压缩
Abstract: 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. -
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