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

英文篇名：Significance test and precision analysis of Morlet wavelet:Application to studying periodic variation of earthquake activity and geomagnetic field
中文刊名：地震学报
英文刊名：Acta Seismologica Sinica
作者：尹继尧 ; 朱元清 ; 宋治平 ; 张国民 ; 薛艳 ; 刘杰
英文作者：Yin Jiyao1 ; 2) Zhu Yuanqing2) Song Zhiping2) ; Zhang Guomin4) Xue Yan3) Liu Jie3) 1) School of Ocean and Earth Science ; Tongji University ; Shanghai 200092 ; China 2) Earthquake Administration of Shanghai Municipality ; Shanghai 200062 ; China 3) China Earthquake Networks Center ; Beijing 100045 ; China 4) Institute of Earthquake Science ; China Earthquake Administration ; Beijing 100036 ; China
中文关键词：Morlet小波 ; 精度 ; 太阳黑子活动 ; 全球地震活动 ; 显著性检验
英文关键词：Morlet wavelet ; precision ; sunspot activity ; global seismic activity ; significance test
出版日期：2011-09-15
机构：同济大学海洋与地球科学学院;上海市地震局;中国地震局地震预测研究所;中国地震台网中心;
年：2011
期：05
出版单位：地震学报

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.
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 activity. Finally, this method is applied to analyzing global seismicity period, and the periods of global seismicity and their precision are given. Result of this study indicates that, when analyzing geophysical data with Morlet wavelet, researchers can acquire more objective periods and their precision from the signals with noise by combining precision estimation and significance test.

引文

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