Introduction to data assimilation in meteorology - ForOT Optical ...
Introduction to data assimilation in meteorology - ForOT Optical ...
Introduction to data assimilation in meteorology - ForOT Optical ...
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Generalisation <strong>in</strong> <strong>meteorology</strong><br />
The Best L<strong>in</strong>ear Unbiased Estimate :<br />
x a = x b + applex<br />
= x b + (( BH T (HBH T +R) -1 (y o – H (x b<br />
, d : difference between<br />
optimal weight<strong>in</strong>g<br />
observations and<br />
background<br />
With :<br />
B and R<br />
resp<br />
ectively background errors and observations errors covariance matrices<br />
H : observation opera<strong>to</strong>r and H l<strong>in</strong>ear observation opera<strong>to</strong>r<br />
Variational formulation : m<strong>in</strong>imisation of the cost function<br />
,<br />
J(applex) = J b (applex) + J o (applex)<br />
(applex = applex T B -1 applex + (d-Happlex) T R -1 (d-H
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