摘要
M带正交子波基由于所具有的优良特性得到了广泛关注。2带子波包具有划分较高频率倍频程的能力,可用于改善子波对时间-频率局部化的性能,推广了信号的适用范围。本文用类似于从2带正交子波基扩展到2带子波包的概念,建立了M带子波包的的理论框架,并把有关2带子波包的定义、概念和性质推广到一般的M带子波包,给出了相应的证明。
In recent years, M-band orthonormal wavelet bases, due to their good characteristics, have attracted attention. The ability of 2-band wavelet packets to decompose high frequency channels can be employed to improve the properpty of wavelet for time-frequency localization, which makes more kinds of signals for analyzing by wavelet. Similar to the notations from the extention of 2-band wavelets to 2-band wavelet packets, the theory framework of M-band wavelet packets is developed, a generalization of the notations and properties of 2-band wavelet packets to that of M-band wavelet packets is made and the corresponding proofs are given.
基金
国家自然科学基金
国家教委跨世纪人才基金
关键词
带子波
子波包
信号处理
2-band wavelet, M-band wavelet, Wavelet packets
