小波包变换中地震信号的结点序号到频带序号的转换算法  

Conversion Algorithm from Order Number of Nodes to that of Frequency Bands for Seismic Signals Using Wavelet Packet Transform

作　　者：白泉[1] 韩晶晶[2] 康玉梅[3] 边晶梅[4] 

机构地区：[1]沈阳工业大学建筑与土木工程学院,辽宁沈阳110870 [2]贺州学院建筑工程学院,广西贺州542899 [3]东北大学资源与土木工程学院,辽宁沈阳10004 [4]沈阳化工大学经济与管理学院,辽宁沈阳110142

出　　处：《地震工程学报》2016年第6期991-996,共6页China Earthquake Engineering Journal

基　　金：国家自然科学基金(51204029;51308348);辽宁省教育厅基金项目(L2013050);贺州学院自然科学基金资助项目(2016ZZZK06)

摘　　要：利用小波包变换对地震非平稳信号进行处理时,结点与频带之间存在"跳频"现象,基于小波包变换算法以及异或运算,对小波包树频带序号和结点序号的关系进行研究,明确信号子空间频带与小波包树结点的排列规律,同时提出一种从结点序号到频带序号的转换算法。基于MATLAB平台,以唐山(南北向)波为例,验证该算法的正确性。The 'frequency hopping' phenomenon often occurs when using the wavelet packet transform to process non-stationary seismic signals.To solve this problem,we examine the relationship between the order number of the wavelet packet tree bands and the order number of the nodes,based on the wavelet packet transform and exclusive or(XOR)operation algorithm.We clarify the arrangement rule between the frequency bands of the signal subspace and the tree nodes of the wavelet packet.Moreover,we propose a conversion algorithm for seismic signals from the order number of the nodes to that of the frequency bands.Based on the MATLAB platform,we use the Tangshan wave(NS direction)as an example and verify the correctness of the algorithm.

关 键 词：小波包 树结点 频带排列 异或运算 

分 类 号：P315.31[天文地球—地震学]