离散小波变换快速算法中预滤波器的选取方法研究

离散小波变换快速算法使得小波变换在信号处理领域得到广泛应用，其中抽样空间上测量值的求取是快速算法中的重要步骤。在论述离散小波变换快速算法的基础上，研究了对抽样空间上测量值的求取方法，即预滤波器的小波选取法，直接选取法，取样函数法及其和特点，探讨了一种基于小波系数范数误差极小的预滤波器优化设计方法，仿真分析各种方法的误差，结果表明优化方法具有较好的分解精度。

Prefilter Selection Methods in Fast Algorithm of Discrete Wavelet Transform

WT5BZ]: The fast algorithm of discrete wavelet transform (DWT) ensures that the wavelet transform is widely applied in signal processing. In the algorithm, the computation of values on sample space is very important. This paper, based on the discussion of several fast DWT algorithms, is focused in the computation methods of the values on sample space for prefilter selection, including the wavelet method, the direct method and the sampling function method; at the same time, the corresponding properties of each method are discussed. And then based on wavelet coefficients with minimal norm errors, an optimal design for the prefilter is put forward. The errors of the various methods mentioned above are compared by simulation; the results show that the proposed optimal method has a fairly good precision in decomposition.