complex (hilbert) eof x : data matix y = x + ix h x h is the hilbert transform of x

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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:

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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]. - PowerPoint PPT Presentation

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Page 1: 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 + 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]

Page 2: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H   X H   is the Hilbert transform of  X
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-Phase(position) + Phase(t)

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