Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第33回ISCIE「確率システム理論と応用」国際シンポジウム(2001年10月, 栃木)
On the Optimality of Separate-Bias Continuous-time Kalman Filter for Randomly-Varying Bias
Takayoshi NAKAMIZOMasanori HORIKOSHI
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2002 年 2002 巻 p. 249-254

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The separate-bias estimation is well known for the unknown constant bias case. In this paper, the modified separate-bias Kalman filter is investigated for a continuous-time dynamical linear system in the presence of randomly time-varying bias. The certain general conditions are derived under which the modified separate-bias estimator is equivalent to the augmented state Kalman filter. However it can be shown that the resultant conditions for the continuous-time linear system with a stochastic bias are more complex than the discrete-time situation, and that the optimal separate-bias estimation may not provide any computational advantage.
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© 2002 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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