二进小波变换的多采样率滤波器组实现分析

在采用多采样率滤波器组实现二进小波变换的过程中,发现重构后的信号与原始信号相比较,除了在原始信号之前引入由滤波器组的延迟产生的0值点之外,还在原始信号之后引入了0值点。文中从时域对重构后的数据长度进行了分析,并对多采样率滤波器组的重构条件进行了深入分析。经过分析,原始信号之后引入的0值点可以从滤波器组重构条件中的抗混叠条件来作出合理的解释;另外,理想滤波器组的延迟应该和滤波器组的阶次相等。

Analysis of Multi-Sample-Rate Filter Group'S Accomplishment To Binary Wavelet Transform

In the process of multi-sample-rate filter group's accomplishment to binary wavelet transform, we discover that in comparison to the primitive signal, the rebuild signal not only leads into zeros generated by filter group's delay before the primitive signal, but also leads into zeros behind it. This paper analyzes the rebuild signal's data-length in the time domain, and we also analyze in-depth the multi-sample-rate filter group's rebuild condition. By the analysis, we think the zeros behind the primitive signal may be explained reasonably by the prevent confusion condition of the rebuild condition. Besides, we consider the ideal filter group's delay may be equal to it's order.