A wavelet approach to representing background error covariances in a limited area model
Une approche ondelette pour représenter les covariances des erreurs dues aux données de départ dans un modèle à domaine limité
Deckmyn, A. ; Berre, L.
Année de publication
2005
The use of orthogonal wavelets for the representation of background <br>error covariances over a limited area is studied. Each wavelet function <br>contains both information on position and information on scale: using a <br>diagonal correlation matrix in wavelet space thus gives the possibility <br>of representing the local variations of correlation scale. To this end, a<br> generalized family of orthogonal Meyer wavelets that are not restricted<br> to dyadic domains (i.e., powers of 2) is introduced. A three-bases <br>approach is used, which allows one to take advantage of the respective <br>properties of the spectral, wavelet, and gridpoint spaces. While the <br>implied local anisotropies are relatively small, the local changes in <br>the two-dimensional length scale are rather well represented.</div>
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