B. Pereira, M. Berre, and L. , The Use of an Ensemble Approach to Study the Background Error Covariances in a Global NWP Model, Monthly Weather Review, vol.134, issue.9, pp.2466-2489, 2006.
DOI : 10.1175/MWR3189.1

F. Bouttier, The dynamics of error covariances in a barotropic model, pp.408-423, 1993.

F. Bouttier, A Dynamical Estimation of Forecast Error Covariances in an Assimilation System, Monthly Weather Review, vol.122, issue.10, pp.2376-2390, 1994.
DOI : 10.1175/1520-0493(1994)122<2376:ADEOFE>2.0.CO;2

M. Buehner and M. Charron, Spectral and spatial localization of background error correlations for data assimilation. To appears in Q, J.R. Meteorol. Soc, 2007.

P. Courtier and J. F. Geleyn, A global numerical weather prediction model with variable resolution: Application to the shallow-water equations, Quarterly Journal of the Royal Meteorological Society, vol.64, issue.483, pp.1321-1346, 1988.
DOI : 10.1002/qj.49711448309

P. Courtier, E. Andersson, W. Heckley, J. Pailleux, D. Vasiljevi´cvasiljevi´c et al., The ECMWF implementation of three-dimensional variational assimilation (3D-Var). I: Formulation, Quarterly Journal of the Royal Meteorological Society, vol.100, issue.550, pp.1783-1807, 1998.
DOI : 10.1002/qj.49712455002

R. Daley, Atmospheric data analysis, La M??t??orologie, vol.8, issue.9, p.471, 1991.
DOI : 10.4267/2042/51948

A. Deckmyn and L. Berre, A Wavelet Approach to Representing Background Error Covariances in a Limited-Area Model, Monthly Weather Review, vol.133, issue.5, pp.1279-1294, 2005.
DOI : 10.1175/MWR2929.1

D. Dee, On-line Estimation of Error Covariance Parameters for Atmospheric Data Assimilation, Monthly Weather Review, vol.123, issue.4, pp.1128-1145, 1995.
DOI : 10.1175/1520-0493(1995)123<1128:OLEOEC>2.0.CO;2

J. Derber and F. Bouttier, A reformulation of the background error covariance in the ECMWF global data assimilation system, pp.195-221, 1999.

I. Daubechies, Ten lectures on Wavelets. CBMS-NSF regional conference series in applied mathematics, SIAM, p.357, 1992.

G. Evensen, Sequential data assimilation with a nonlinear quasigeostrophic model using Monte Carlo methods to forecast error, J. Geophys. Res, vol.99, issue.10, pp.143-153, 1994.

M. Fisher and P. Courtier, Estimating the covariance matrices of analysis and forecast error in variational data assimilation, ECMWF Technical Memorandum, vol.220, p.29, 1995.

M. Fisher, Background error covariance modelling Processing of the ECMWF Seminar on " Recent developments in data assimilation for atmosphere and ocean, Reading, pp.8-12, 2003.

M. Fisher, Generalized frames on the sphere, with application to the background error covariance modelling. Processing of the ECMWF Seminar on " Developments in Numerical Methods for Atmospheric and Ocean Modelling, pp.6-10, 2004.

G. Gaspari and S. Cohn, Construction of correlation functions in two and three dimensions, Quarterly Journal of the Royal Meteorological Society, vol.4, issue.2, pp.723-757, 1999.
DOI : 10.1002/qj.49712555417

N. Gustafsson, L. Berre, S. Hörnquist, X. Huang, M. Lindskog et al., Threedimensional variational data assimilation for a limited area model, pp.425-446, 2001.

P. L. Houtekamer, L. Lefaivre, J. Derome, H. Ritchie, and H. L. Mitchell, A System Simulation Approach to Ensemble Prediction, Monthly Weather Review, vol.124, issue.6, pp.1225-1242, 1996.
DOI : 10.1175/1520-0493(1996)124<1225:ASSATE>2.0.CO;2

P. L. Houtekamer and H. L. Mitchell, A Sequential Ensemble Kalman Filter for Atmospheric Data Assimilation, Monthly Weather Review, vol.129, issue.1, pp.123-137, 2001.
DOI : 10.1175/1520-0493(2001)129<0123:ASEKFF>2.0.CO;2

B. Ingleby, The statistical structure of forecast errors and its representation in The Met, Office Global Model. Q.J.R. Meteorol. Soc, vol.124, pp.1783-1807, 2001.

P. Lönnberg, Developpements in the ECMWF analysis scheme Data assimilation and the use of satellite data, Proc. ECMWF Seminar on, pp.5-9, 1988.

A. Lorenc, The potential of the ensemble Kalman filter for NWP???a comparison with 4D-Var, Quarterly Journal of the Royal Meteorological Society, vol.130, issue.595, pp.3183-3203, 2003.
DOI : 10.1256/qj.02.132

F. Rabier, H. Jarvinen, E. Klinker, J. F. Mahfouf, and A. Simmons, The ECMWF operational implementation of four-dimensional variational assimilation. I: Experimental results with simplified physics, Quarterly Journal of the Royal Meteorological Society, vol.121, issue.564, pp.1148-1170, 2000.
DOI : 10.1002/qj.49712656415

J. Thépaut, P. Courtier, G. Belaud, and G. Lema??trelema??tre, Dynamical structure functions in a four-dimensional variational assimilation: A case study, Quarterly Journal of the Royal Meteorological Society, vol.117, issue.530, pp.535-561
DOI : 10.1002/qj.49712253012

F. Veersé and J. Thépaut, Multiple-truncation incremental approach for four-dimensional variational data assimilation, Quarterly Journal of the Royal Meteorological Society, vol.124, issue.1, pp.1889-1908, 1998.
DOI : 10.1002/qj.49712455006