Systems Engineering and Electronics ›› 2020, Vol. 42 ›› Issue (1): 1-9.doi: 10.3969/j.issn.1001-506X.2020.01.01

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Maximum likelihood registration for systemic error of multiple spaceborne optical sensors

Jiawei LI1(), Jing JIANG2(), Chongyang LIU1(), Weihua WU3()   

  1. 1. Department of Graduate, Air Force Early Warning Academy, Wuhan 430019, China
    2. Aerospace Early Warning Department, Air Force Early Warning Academy, Wuhan 430019, China
    3. Early Warning Intelligence Department, Air Force Early Warning Academy, Wuhan 430019, China
  • Received:2019-01-22 Online:2020-01-01 Published:2019-12-23
  • Supported by:
    国家自然科学基金(61601510);青年人才托举工程项目(18-JCJQ-QT-008)

Abstract:

Aiming at the problem of systemic error in detecting ballistic targets cooperatively via low earth orbit constellation, a maximum likelihood registration (MLR) algorithm is presented for systemic error of multiple spaceborne optical sensors. Firstly, the nonlinear measurement transformation is linearized by the first-order Taylor approximation, and the relations between the error covariance of target state and random errors of satellite orbit orientation, attitude angle measurement and sensor measurement are derived. Secondly, the approximate projection of measurement to the state space is obtained based on the line of sight crossing, thus the MLR algorithm is extended to the error registration for multiple optical sensors of low earth orbit constellation. Finally, by introducing the prior information of various measurement errors to correct the error covariance of target state, and using the iteration of expectation maximization, the unbiased effective estimation of systemic error and the fusion estimation of target trajectory are achieved. The numerical simulations demonstrate the effectiveness and the superior registration performance of the algorithm.

Key words: low earth orbit constellation, systemic error, measurement model, measurement error, maximum likelihood registration (MLR), information fusion

CLC Number: 

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