期刊
IEEE ACCESS
卷 5, 期 -, 页码 7964-7974出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2017.2700428
关键词
Nonlinear filter; heavy-tailed noise; student's t distribution; student's t weighted integral; outlier; nonlinear system
资金
- National Natural Science Foundation of China [61371173, 61633008]
- Natural Science Foundation of Heilongjiang Province [F2016008]
In this paper, a new robust Student's t-based stochastic cubature filter (RSTSCF) is proposed for a nonlinear state-space model with heavy-tailed process and measurement noises. The heart of the RSTSCF is a stochastic Student's t-spherical radial cubature rule (SSTSRCR), which is derived based on the third-degree unbiased spherical rule and the proposed third-degree unbiased radial rule. The existing stochastic integration rule is a special case of the proposed SSTSRCR when the degrees of freedom parameter tends to infinity. The proposed filter is applied to a maneuvering bearings-only tracking example, in which an agile target is tracked and the bearing is observed in clutter. Simulation results show that the proposed RSTSCF can achieve higher estimation accuracy than the existing Gaussian approximate filter, Gaussian sum filter, Huber-based nonlinear Kalman filter, maximum correntropy criterion-based Kalman filter, and robust Student's t-based nonlinear filters, and is computationally much more efficient than the existing particle filter.
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