航空学报 > 2009, Vol. 30 Issue (2): 311-318

基于SVD的R-T-S最优平滑在机载SAR运动补偿POS系统中的应用

宫晓琳,房建成   

  1. 北京航空航天大学 仪器科学与光电工程学院
  • 收稿日期:2007-11-23 修回日期:2008-02-27 出版日期:2009-02-15 发布日期:2009-02-15
  • 通讯作者: 房建成

Application of SVDbased R-T-S Optimal Smoothing Algorithm to POS for Airborne SAR Motion Compensation

Gong Xiaolin, Fang Jiancheng   

  1. School of Instrument Science and Opto-electronics Engineering, Beijing University of Aeronautics and Astronautics
  • Received:2007-11-23 Revised:2008-02-27 Online:2009-02-15 Published:2009-02-15
  • Contact: Fang Jiancheng

摘要: 机载合成孔径雷达(SAR)运动补偿用位置姿态系统(POS)的导航精度直接影响SAR成像的效果。为进一步提高POS的导航精度和数值稳定性,提出将基于奇异值分解(SVD)的Rauch-Tung-Striebel(R-T-S)最优固定区间平滑应用于POS后处理中。在基于SVD的前向卡尔曼滤波(KF)的基础上,进行了基于SVD的后向R-T-S最优固定区间平滑,获得位置、速度和姿态的最优估计。该方法将原算法中均方误差阵进行奇异值分解,不仅具有很好的数值稳定性和鲁棒性,而且避免了矩阵的求逆。半物理仿真结果表明,该方法在导航精度和数据平滑度上明显优于目前工程中应用的KF,是一种有效的事后处理方法。

关键词: 位置姿态系统, 奇异值分解, 最优平滑算法, 合成孔径雷达, 运动补偿

Abstract: Position and orientation system (POS) has been used widely to compensate for the motional error of an airborne synthetic aperture radar (SAR),and its navigation precision has a direct effect on SAR imaging. In order to obtain higher navigating precision and numerical stability,an algorithm of Rauch-Tung-Striebel (R-T-S) optimal fixed interval smoothing based on singular value decomposition (SVD) was used in POS. The smoothed best estimate of position,velocity and attitude can be obtained by forwardpass Kalman filter(KF)based SVD and backwardpass R-T-S optimal fixed interval smoothing based SVD. This method not only has excellent numerical stability but also eliminates the necessity of system transition matrix inversion. The semiphysical simulation results show that this method has better precision and data smoothness than the KF currently in engineering application,and it may be an effective method for POS postprocessing.

Key words: position and orientation system, singular value decomposition, optional smoothing algorithm, synthetic aperture radar, motion compensation

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