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COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X

COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X By CEOF: Y = ∑ (EOF)† (PC) = {re( EOF )re( PC )+im( EOF )im( PC )} + i{-im( EOF )re( PC )+re( EOF )im( PC )} Example: HadiSSTa (50°S-50°N, 30°E-60°W), 1951-1990. Band-pass: [1,40].

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COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X

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  1. COMPLEX (HILBERT) EOF X: data matix Y= X + iXH XH is the Hilbert transform of X By CEOF: Y = ∑ (EOF)† (PC) = {re(EOF)re(PC)+im(EOF)im(PC)} + i{-im(EOF)re(PC)+re(EOF)im(PC)} Example: HadiSSTa (50°S-50°N, 30°E-60°W), 1951-1990. Band-pass: [1,40]

  2. -Phase(position) +Phase(t) 14: /home/comet/COMPLEX_EOF

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