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Study on Optimality of Two-Stage Estimation with ARMA Model Random Bias 被引量:2

Study on Optimality of Two-Stage Estimation with ARMA Model Random Bias
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摘要 The optimality of two-stage state estimation with ARMA model random bias is studiedin this paper. Firstly, the optimal augmented state Kalman filter is given; Secondly, the two-stageKalman estimator is designed. Finally, under an algebraic constraint condition, the equivalencebetween the two-stage Kalman estimator and the optimal augmented state Kalman filter is proved.Thereby, the algebraic constraint conditions of optimal two-stage state estimation in the presence ofARMA model random bias are given. The optimality of two-stage state estimation with ARMA model random bias is studiedin this paper. Firstly, the optimal augmented state Kalman filter is given; Secondly, the two-stageKalman estimator is designed. Finally, under an algebraic constraint condition, the equivalencebetween the two-stage Kalman estimator and the optimal augmented state Kalman filter is proved.Thereby, the algebraic constraint conditions of optimal two-stage state estimation in the presence ofARMA model random bias are given.
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1999年第2期39-47,共9页 系统工程与电子技术(英文版)
关键词 Kalman filter State estimation Optimal filtering ARMA model Random bias. Kalman filter, State estimation, Optimal filtering, ARMA model, Random bias.
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