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本文首先对小波分析的基本原理作了简要介绍;然后从分解信号完全恢复的角度,对几种典型的小波基进行了概括;并且着重指出:对于两带分解的小波基设计等价于在正则性条件下,设计一个两带完全恢复或近似完全恢复恢复的滤波器组;最后给出了相应于Daubechies基的小波生成算法和实验结果。
In this paper, the basic principle of wavelet analysis is briefly introduced. Then from the point of view of the complete recovery of the signal, several typical wavelet bases are summarized. It is emphatically pointed out that for the two-band decomposition, In the condition of sexuality, we design a filter bank with two complete restoration or near full restoration. At last, the wavelet generation algorithm and the experimental results corresponding to Daubechies basis are given.