| 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 |
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| 引用本文： | 白泉,韩晶晶,康玉梅,边晶梅. 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[J]. 地震工程学报, 2016, 38(6): 991-996 |
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| 作者姓名： | 白泉 韩晶晶 康玉梅 边晶梅 |
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| 作者单位： | 沈阳工业大学建筑与土木工程学院, 辽宁 沈阳 110870,贺州学院建筑工程学院, 广西 贺州 542899,东北大学资源与土木工程学院, 辽宁 沈阳 10004,沈阳化工大学经济与管理学院, 辽宁 沈阳 110142 |
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| 基金项目： | 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） |
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| 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。
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| 关 键 词： | 小波包 树结点 频带排列 异或运算 |
| 收稿时间： | 2015-12-25 |
Conversion Algorithm from Order Number of Nodes to that of Frequency Bands for Seismic Signals Using Wavelet Packet Transform |
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| BAI Quan,HAN Jing-jing,KANG Yu-mei and BIAN Jing-mei. Conversion Algorithm from Order Number of Nodes to that of Frequency Bands for Seismic Signals Using Wavelet Packet Transform[J]. China Earthguake Engineering Journal, 2016, 38(6): 991-996 |
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| Authors: | BAI Quan HAN Jing-jing KANG Yu-mei BIAN Jing-mei |
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| Affiliation: | School of Architecture and Civil Engineering, Shenyang University of Technology, Shenyang 110870, Liaoning, China,School of Architectural Engineering, Hezhou University, Hezhou 542899, Guangxi, China,College of Resources and Civil Engineering, Northeastern University, Shenyang 110004, Liaoning, China and School of Economics and Management, Shenyang University of Chemical Technology, Shenyang 110142, Liaoning, China |
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| Abstract: | 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. |
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| Keywords: | wavelet packet tree node frequency bands arrangement XOR algorithm |
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