Predicting Radiation Belt Electron Flux with Adaptive Linear State-Space Models

Statistics – Applications

Scientific paper

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2720 Energetic Particles, Trapped, 2722 Forecasting, 2784 Solar Wind/Magnetosphere Interactions

Scientific paper

Linear state-space models, most common in engineering applications, offer a more flexible alternative to the familiar finite impulse response (FIR) linear prediction filters commonly used to predict radiation belt electron fluxes based on solar wind input. They can be designed to be mathematically equivalent to FIR models, but may also incorporate dynamic feedback and allow cross-coupling between multiple system outputs, thereby providing an empirically derived description of a system's dynamics that is more consistent with reality. In addition, their numerical structure is ideally suited for use with the Kalman Filter as a form of data assimilation, and/or the so-called extended Kalman Filter for adaptive identification of optimal model parameters. A brief overview of linear state-space models is given, followed by a demonstration of their ability to predict 2-6 MeV electron fluxes based on historical solar wind data and SAMPEX electron observations binned by geomagnetic L-shell (1-8 RE).

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