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Optimal Linear Fusion of Smoothed State Estimates

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2 Author(s)
Yongxin Gao ; Center for Inf. Eng. Sci. Res. (CIESR), Xi''an Jiaotong Univ., Xi''an, China ; Li, X.R.

The work presented here deals with estimation fusion of smoothed state estimates. Two problems of fusion for smoothing are considered: fixed point and fixed interval. Optimal linear fusion rules in the sense of the optimal weighted least squares (OWLS) and the linear minimum mean-square error (LMMSE) are obtained. These rules are in recursive forms convenient for implementation. We also propose a more practical method for real-time smoothing, which in essence is fusing smoothed and filtered estimates. Illustrative numerical results are provided to verify the performance and credibility of the fusion rules.

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Aerospace and Electronic Systems, IEEE Transactions on  (Volume:48 ,  Issue: 2 )