Bayesian fitering-based general data assimilation method
A technology of Bayesian filtering and general data, applied in the field of earth system science information processing, can solve problems such as discontinuity, difficulty in obtaining adjoint operators, and insufficient precision
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[0076] First, it is theoretically demonstrated that Bayesian theory is the cornerstone of data assimilation:
[0077] Bayesian theory provides a unified methodology for sequential filtering of linear and nonlinear systems with noise, thus providing a broader theoretical basis for data assimilation. The invention uses the language of data assimilation and the standard expression form to analyze the data assimilation in the nonlinear system from the angle of Bayesian filtering.
[0078] 1.1) Data assimilation and nonlinear dynamic system
[0079] The state-space method provides a unified framework for describing the state estimation problem of a dynamical system. It is divided into a state prediction model and an observation model, which are also called model operators and observation operators in the data assimilation system.
[0080] Among them, the nonlinear prediction model (namely, the model operator) of the state space is expressed as:
[0081] x t (t k ) = M k (X t ...
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