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Data compression in the presence of observational error correlations

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Figure

Fig. 1. Top: Eigenvalues of MM T (20) (yellow line), R (blue triangles) and B (red circles) for the case of SOAR correlation functions with L B ¼ 5 and L R ¼ 0:1: Also plotted are the eigenvalues of P a (purple crosses) when compressed observations retaini
Fig. 4. Analysis error correlation structure for the case illustrated in Fig. 2. The number of compressed observations assimilated are chosen to conserve 75 % of ER
Fig. 5. Rows of the observation operator matrix for the five strategies for reducing the observation data detailed in Section 4
Table 2. The wave-numbers selected by the optimal Fourier data compression method at each observation time for the two different types of observations

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