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SVD方法在气象场诊断分析中的普适性
引用本文:丁裕国,江志红.SVD方法在气象场诊断分析中的普适性[J].气象学报,1996,54(3):365-372.
作者姓名:丁裕国  江志红
作者单位:南京气象学院
基金项目:国家自然科学基金,中国气象局重点项目基金
摘    要:本文首次从理论上推导证明两个气象场的奇异值分解(SVD)在气象场时空分布耦合信号的诊断分析中具有普适性。结果表明,两个场的SVD求解准则不同于典型相关分析(CCA),且CCA模型可视为SVD之特例,尤其当各个场经PCA滤波后,其CCA完全与SVD等价。SVD分析的结果不但可完全代替CCA,且计算更简便,所得耦合信号的物理解释更清晰,特别适合于大尺度气象场的遥相关型研究。

关 键 词:奇异值分解,典型相关分析,气象场分解,诊断分析
收稿时间:1994/3/21 0:00:00
修稿时间:1994/11/1 0:00:00

GENERALITY OF SINGULAR VALUE DECOMPOSITION IN DIAGNOSTIC ANALYSIS OF METEOROLOGICAL FIELD
Ding Yuguo and Jiang Zhihong.GENERALITY OF SINGULAR VALUE DECOMPOSITION IN DIAGNOSTIC ANALYSIS OF METEOROLOGICAL FIELD[J].Acta Meteorologica Sinica,1996,54(3):365-372.
Authors:Ding Yuguo and Jiang Zhihong
Institution:Nanjing Institute of Meteorology, Nanjing, 210044;Nanjing Institute of Meteorology, Nanjing, 210044
Abstract:heoretically, it is proved that SVD is a method in broad sense which is applied tothe diagnostic analyses of spatialtemporal distributions as well as coupled signal for theindividual meteorological field or between the two meteorological fields. The researchesshow that the derivation criterion of SVD is different from CCA model. and the CCAcan be regarded as a special case of the SVD. and particularly the CCA of the two fieldswhich be filtered by using PCA can be regarded as a equivalent method to SVD. as arule. CCA can not only perfectly be replaced by SVD, but the advantage of SVD over theCCA is the effective interpretation of physical sense for the coupled signal and simplecomputation. Thus, SVD is a suitable method for the research of teleconnection patternsin the large spatial scale.
Keywords:Singular value decomposition  Canonical correlation analysis  Analyses of meteorological fetids  Diagnostic analysis  
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