Optimal linear estimation and data fusion

被引:6
|
作者
Elliott, RJ [1 ]
Van der Hoek, J
机构
[1] Univ Calgary, Haskayne Sch Business, Calgary, AB T2N 1N4, Canada
[2] Univ Adelaide, Dept Appl Math, Adelaide, SA 5005, Australia
关键词
data fusion; optimal linear estimation;
D O I
10.1109/TAC.2006.872768
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Optimal mean square linear estimators are determined for general uncorrelated noise. We allow the noise variance matrix in the observation process to be singular. This requires properties of generalized inverses which are developed in Section It. The proofs appear to be new. When there are two observation sequences the optimal method of recursively fusing the two is determined. We derive a new formula for the covariance of the two estimates which then provides exact dynamics for a fused estimate.
引用
收藏
页码:686 / 689
页数:4
相关论文
共 50 条
  • [21] Optimal estimation of sensor biases for asynchronous multi-sensor data fusion
    Wenqiang Pu
    Ya-Feng Liu
    Junkun Yan
    Hongwei Liu
    Zhi-Quan Luo
    Mathematical Programming, 2018, 170 : 357 - 386
  • [22] Optimal estimation for multi sensor data fusion system with correlated measurement noise
    Jin, XB
    Sun, YX
    2002 6TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, VOLS I AND II, 2002, : 1641 - 1644
  • [23] Optimal estimation of sensor biases for asynchronous multi-sensor data fusion
    Pu, Wenqiang
    Liu, Ya-Feng
    Yan, Junkun
    Liu, Hongwei
    Luo, Zhi-Quan
    MATHEMATICAL PROGRAMMING, 2018, 170 (01) : 357 - 386
  • [24] Linear Bayes and optimal estimation
    Godambe, VP
    ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1999, 51 (02) : 201 - 215
  • [25] Linear Bayes and Optimal Estimation
    V. P. Godambe
    Annals of the Institute of Statistical Mathematics, 1999, 51 : 201 - 215
  • [26] Distributed optimal linear fusion estimators
    Sun, Shu-Li
    INFORMATION FUSION, 2020, 63 : 56 - 73
  • [27] Optimal linear fusion of local estimates
    Shin, V
    2005 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA), VOLS 1AND 2, 2005, : 1435 - 1440
  • [28] Recursive algorithm of the optimal estimation fusion
    Jie, Z
    Zhu, YM
    MULTISENSOR, MULTISOURCE INFORMATION FUSION: ARCHITECTURES, ALGORITHMS, AND APPLICATIONS 2003, 2003, 5099 : 182 - 189
  • [29] Linear minimum variance estimation fusion
    Zhu, YM
    Li, XR
    Li, XR
    Zhao, J
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2004, 47 (06): : 728 - 740
  • [30] Linear minimum variance estimation fusion
    ZHU Yunmin
    Department of Electronic Engineering
    Science in China(Series F:Information Sciences), 2004, (06) : 728 - 740