Statistical interpolation(or Gauss-Markov method)(Gandin, 1963; Rutherford, 1973; Schlatter,1977; Daley, 1991)

Definitions

y Î Rm: observation vector (m ~ 105)

X Î Rn: model state vector (n ~ 107)

H: Rn ® Rm: observation operator

B = áebebTñ: background (forecast) error covariances

R = áeoeoTñ: observational error covariances

Observation and forecast error are assumed to be uncorrelated áebeoTñ = 0.

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