COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X
7
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:
description
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
Transcript of COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X
![Page 1: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X](https://reader036.fdocuments.in/reader036/viewer/2022081513/568151b6550346895dbfe5f6/html5/thumbnails/1.jpg)
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](https://reader036.fdocuments.in/reader036/viewer/2022081513/568151b6550346895dbfe5f6/html5/thumbnails/2.jpg)
![Page 3: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X](https://reader036.fdocuments.in/reader036/viewer/2022081513/568151b6550346895dbfe5f6/html5/thumbnails/3.jpg)
![Page 4: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X](https://reader036.fdocuments.in/reader036/viewer/2022081513/568151b6550346895dbfe5f6/html5/thumbnails/4.jpg)
![Page 5: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X](https://reader036.fdocuments.in/reader036/viewer/2022081513/568151b6550346895dbfe5f6/html5/thumbnails/5.jpg)
![Page 6: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X](https://reader036.fdocuments.in/reader036/viewer/2022081513/568151b6550346895dbfe5f6/html5/thumbnails/6.jpg)
![Page 7: COMPLEX (HILBERT) EOF X : data matix Y = X + iX H X H is the Hilbert transform of X](https://reader036.fdocuments.in/reader036/viewer/2022081513/568151b6550346895dbfe5f6/html5/thumbnails/7.jpg)
-Phase(position) + Phase(t)
14: /home/comet/COMPLEX_EOF