极移振幅和相位的时-频域统计分析
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摘要
极移的各种周期变化与地球上的许多现象 ,如地震等 ,有某种紧密的联系 .研究这些周期变化及其成因是相当重要的 .利用新的观点来分析这一经典问题 .首先将复小波变换引入极移的研究之中 ,了解极移的复小波变换及各种周期变化 .提出小波变换对数幅相图的概念 ,并对小波变换的振幅和相位的变化分别进行了分析 .结果表明 :极移的模值以及小波变换的模值都有某种周期的变化 .小波变换尺度比较小时 ,可以描述短周期的变化 ;小波变换尺度大时可以描述较长周期的变化 .
Various periodic variations of the polar shift are closely related with many phenomena on the earth, for example the earthquake. It is important to study these periodic variations and the cause of their origin. The authors make a fresh look at this classic problem. The complex wavelet transform is employed to study the variation of the polar shift in this paper. This transform and various periodic variations are discussed. The logarithmic amplitude phase map of complex wavelet transform is put forward. The variation of amplitude and phase of complex wavelet transform is analyzed. The results show that the model of polar shift and its complex number wavelet transform have some periodic variation. It describes the short term periodic variation in small scale and the long term variation in large scale.
Various periodic variations of the polar shift are closely related with many phenomena on the earth, for example the earthquake. It is important to study these periodic variations and the cause of their origin. The authors make a fresh look at this classic problem. The complex wavelet transform is employed to study the variation of the polar shift in this paper. This transform and various periodic variations are discussed. The logarithmic amplitude phase map of complex wavelet transform is put forward. The variation of amplitude and phase of complex wavelet transform is analyzed. The results show that the model of polar shift and its complex number wavelet transform have some periodic variation. It describes the short term periodic variation in small scale and the long term variation in large scale.
引文
1 兰伯克著 .李志安 ,李永生 ,胡辉译 .地球自转的变化 .北京 :地震出版社 ,1 988
2 AldredgeLR .JGeophysRes,1 977,82 :542 7-5431
3 刘贵忠 ,等 .小波分析及其应用 .西安 :西安电子科技大学出版社 ,1 992
4 李世雄 ,等 .小波变换及其反演数学基础 .北京 :地质出版社 ,1 994
5 宋国乡 ,等 .数值泛函及小波分析初步 .郑州 :河南科学技术出版社 ,1 994
6 A .石丸 .黄润恒译 .随机介质中波的传播和散射 .北京 :科学出版社 ,1 986
7 李正心 .地球自转参数的重新归算 .上海 :上海科技出版社 ,1 982
8 柯熙政 .中国科学院研究生院学报 ,1 998,1
9 冯 博 ,柯熙政 ,丁花玲 .天体物理学报 ,1 997,1
2 AldredgeLR .JGeophysRes,1 977,82 :542 7-5431
3 刘贵忠 ,等 .小波分析及其应用 .西安 :西安电子科技大学出版社 ,1 992
4 李世雄 ,等 .小波变换及其反演数学基础 .北京 :地质出版社 ,1 994
5 宋国乡 ,等 .数值泛函及小波分析初步 .郑州 :河南科学技术出版社 ,1 994
6 A .石丸 .黄润恒译 .随机介质中波的传播和散射 .北京 :科学出版社 ,1 986
7 李正心 .地球自转参数的重新归算 .上海 :上海科技出版社 ,1 982
8 柯熙政 .中国科学院研究生院学报 ,1 998,1
9 冯 博 ,柯熙政 ,丁花玲 .天体物理学报 ,1 997,1
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