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I don’t want to go through the mathematical details of EOF
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analysis. Only some basic concepts are described in the
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following few slids.
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Through mathematic derivations, we can show that the
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empirical orthogonal functions (EOFs) of a time series
Z(x,
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y, t) are the eigenvectors of the covarinace matrix of the
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time series.
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The eigenvalues of the covariance matrix tells you the
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fraction of variance explained by each individual EOF.
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