Diagnosis and normalization of gridpoint background‐error variances induced by a block‐diagonal wavelet covariance matrix

• Published in: Quarterly journal of the Royal Meteorological Society Vol. 143; no. 704; pp. 1268 - 1279
• Main Authors: Chabot, V., Berre, L., Desroziers, G.
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.04.2017; Wiley Subscription Services, Inc
• Subjects: 4D‐Var; ARPEGE model; background‐error covariance; Coefficients; Correlation; Data processing; Diagnosis; ensemble assimilation; Modelling; spherical wavelet; Variance analysis; variational assimilation; Wavelet analysis

A wavelet block‐diagonal approach can be used in order to specify 3D background‐error covariances from ensemble data. In this study, it is first formally demonstrated how resulting variances in grid‐point space can be expressed and diagnosed from variances of wavelet coefficients of background error...