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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。
The discrete wavelet transform fast algorithm makes the wavelet transform widely used in the field of signal processing, in which the determination of the sampling value in the sampling space is an important step in the fast algorithm. Based on the discussion of the fast algorithm of discrete wavelet transform, the method of obtaining the measured value in the sampling space is studied, ie the wavelet selection method, the direct selection method, the sampling function method and its characteristics of the prefilter. This paper discusses a method of pre-filter optimization design based on the minimum error of the wavelet coefficient norm. The errors of various methods are simulated and analyzed. The results show that the optimization method has better decomposition accuracy.