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连续小波变换系数的主成分分析法及其重力固体潮应用
引用本文:全海燕,山秀明,周挚,刘增力,梁虹.连续小波变换系数的主成分分析法及其重力固体潮应用[J].地震研究,2007,30(2):175-178.
作者姓名:全海燕  山秀明  周挚  刘增力  梁虹
作者单位:1. 昆明理工大学,信息与自动化学院,昆明,650051
2. 清华大学,电子工程系,北京,100084
3. 云南省地震局,昆明,650224
4. 云南大学,信息学院,昆明,650091
摘    要:针对连续小波变换中各尺度系数间存在较大相关性的特点,建立协方差矩阵,用主成分分析法去除各尺度系数间的相关性,提取原信号中的主要频率成分。利用给定样本信号对该方法的有效性进行检验,同时,作为应用,利用该方法提取出重力固体潮信号中的半日波分量和日波分量,为信号特征频率提取提供了一种可行和有效的分析方法。

关 键 词:连续小波变换  主成分分析法  相关性  重力固体潮
文章编号:1000-0666-(2007)02-0175-04
修稿时间:2006-10-20

Continuous Wavelet Transform Based on PCA and Its Application in Gravity Solid Tide Analysis
QUAN Hai-yan,SHAN Xiu-ming,ZHOU Zhi,LIU Zeng-li,LIANG Hong.Continuous Wavelet Transform Based on PCA and Its Application in Gravity Solid Tide Analysis[J].Journal of Seismological Research,2007,30(2):175-178.
Authors:QUAN Hai-yan  SHAN Xiu-ming  ZHOU Zhi  LIU Zeng-li  LIANG Hong
Institution:1.School of Information and Automatics, Kunming University of Science and Technology, Kunming 650051, China;2. Tsinghua University, Beijing 100084, China; 3. Seismological Bureau of Yunnan Province, Kunming 650224, China; 4. Yunnan University, Kunming 650091, China
Abstract:The correlation matrix of wavelet factors with various scales is built, and Principal Component Analysis method (PCA) is used to remove correlation among wavelet factors and extract primary frequency components in an origin signal. The method is proved to be valuable in signal analysis by its application to the given sample signal and the gravity solid tide signal.
Keywords:continuous Wavelet Transfer  Primary Component Analysis  correlation theory  gravity solid tide
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