基于小波包变换的地震信号频带序号到结点序号的快速转换算法

针对小波包处理地震非平稳信号过程中存在的“跳频”现象，以及现有方法不能快速准确地得到地震信号高层次小波包分解时频带序号和结点序号的排列规律的弊端，基于小波包变换算法和异或运算，提出一种频带序号到结点序号的快速转换算法。基于MATLAB平台，以唐山南北向地震波为例，编制相应程序进行分析，得到的地震频带序号与其小波包树结点序号的排列规律与现有方法得到的结果完全一致，验证了该转换算法的正确性。

Fast Conversion Algorithm from Frequency Band to Node Numbers of Seismic Signal Based on Wavelet Packet

A phenomenon of “frequency hopping” occurs when processing non-stationary seismic signals by wavelet packet. The existing method of decomposing seismic signals in high level based on wavelet packet cannot rapidly obtain the arrangement rule of frequency band numbers and node numbers. To rectify this disadvantage, a fast algorithm for converting frequency band to node numbers is proposed, based on wavelet packet transform and XOR algorithm. For analysis, we use the MATLAB platform, take Tangshan (north-south) seismic wave as an example and set the corresponding procedures. Our results get the same arrangement rule as the existing method from frequency band numbers to node numbers, verifying the correctness of the proposed conversion algorithm.