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Journal Article

Sigma-point particle filter for parameter estimation in a multiplicative noise environment


Ambadan,  Jaison Thomas
IMPRS on Earth System Modelling, MPI for Meteorology, Max Planck Society;

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Ambadan, J. T., & Tang, Y. (2011). Sigma-point particle filter for parameter estimation in a multiplicative noise environment. Journal of Advances in Modeling Earth Systems, 3: M12005. doi:10.1029/2011MS000065.

Cite as: http://hdl.handle.net/21.11116/0000-0001-562A-0
A pre-requisite for the "optimal estimate'' by the ensemble-based Kalman filter (EnKF) is the Gaussian assumption for background and observation errors, which is often violated when the errors are multiplicative, even for a linear system. This study first explores the challenge of the multiplicative noise to the current EnKF schemes. Then, a Sigma Point Kalman Filter based Particle Filter (SPPF) is presented as an alternative to solve the issues associated with multiplicative noise. The classic Lorenz '63 model and a higher dimensional Lorenz '96 model are used as test beds for the data assimilation experiments. Performance of the SPPF algorithm is compared against a standard EnKF as well as an advanced square-root Sigma-Point Kalman Filters (SPKF). The results show that the SPPF outperforms the EnKF and the square-root SPKF in the presence of multiplicative noise. The super ensemble structure of the SPPF makes it computationally attractive compared to the standard Particle Filter (PF).