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。
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.
出处
《气象学报》
CSCD
北大核心
1996年第3期365-372,共8页
Acta Meteorologica Sinica
基金
国家自然科学基金
中国气象局重点项目基金
关键词
奇异值分解
典型相关分析
气象场
诊断分析
Singular value decomposition, Canonical correlation analysis, Analyses of meteorological fetids, Diagnostic analysis
