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Morlet小波显著性检验和精度分析在地磁场和地震活动性周期分析中的应用
引用本文:尹继尧,朱元清,宋治平,张国民,薛艳,刘杰.Morlet小波显著性检验和精度分析在地磁场和地震活动性周期分析中的应用[J].地震学报,2011,33(5):663-671.
作者姓名:尹继尧  朱元清  宋治平  张国民  薛艳  刘杰
作者单位:1) 中国上海200092同济大学海洋与地球科学学院2) 中国上海200062上海市地震局3) 中国北京100045中国地震台网中心4) 中国北京100036中国地震局地震预测研究所
基金项目:国家“973”项目(2008CB425704)资助
摘    要:首先通过对加入随机噪声的合成信号进行Morlet小波变换并进行显著性检验, 分析所得信号的周期成分的显著性和非显著性, 然后研究信号周期长短、 信号观测时间段长短与精度之间的关系.在此基础上,以活动周期比较稳定的太阳黑子活动作为实例分析,结果显示本文的精度分析和显著性检验方法对于周期谱的精度和显著性研究是可行的.最后将该方法应用于全球地震活动周期谱的分析,求出全球地震活动周期谱及其显著性与精度.研究结果表明,在利用Morlet小波分析地磁场和地震活动性周期时引入显著性检验,并结合本文给出的精度, 可以从数据中提取出周期谱及其显著性和精度. 

关 键 词:Morlet小波  精度  太阳黑子活动  全球地震活动  显著性检验

Significance test and precision analysis of Morlet wavelet:Application to studying periodic variation of earthquake activity and geomagnetic field
Yin Jiyao, Zhu Yuanqing Song Zhiping,Zhang Guomin Xue Yan Liu Jie School of Ocean , Earth Science,Tongji University,Shanghai ,China Earthquake Administration of Shanghai Municipality,Shanghai ,China China Earthquake Networks Center,Beijing ,China Institute of Earthquake Science,China Earthquake Administration,Beijing ,China.Significance test and precision analysis of Morlet wavelet:Application to studying periodic variation of earthquake activity and geomagnetic field[J].Acta Seismologica Sinica,2011,33(5):663-671.
Authors:Yin Jiyao  Zhu Yuanqing Song Zhiping  Zhang Guomin Xue Yan Liu Jie School of Ocean  Earth Science  Tongji University  Shanghai  China Earthquake Administration of Shanghai Municipality  Shanghai  China China Earthquake Networks Center  Beijing  China Institute of Earthquake Science  China Earthquake Administration  Beijing  China
Affiliation:1) School of Ocean and Earth Science, Tongji University, Shanghai 200092, China2) Earthquake Administration of Shanghai Municipality, Shanghai 200062, China3) China Earthquake Networks Center, Beijing 100045, China4) Institute of Earthquake Science, China Earthquake Admin
Abstract:Firstly analyzed the signal with random noise by using Morlet wavelet transformation and tested significance level of the resulted period components, then studied the relationship between signal periods, the time length of observational data and wavelet transformation precision. As a test example we analyzed sunspot activity, which has relatively stable activity cycles. The result shows that the precision analysis and significance test used in this paper are feasible for studying periodicity of geophysical ...
Keywords:Morlet wavelet  precision  sunspot activity  global seismic activity  significance test  
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