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开窗分类因子抗差自适应序贯平差用于卫星钟差参数估计与预报

黄观文1,杨元喜2,3,张勤4   

  1. 1. 长安大学
    2. Xian Research Institute of Surveying and Mapping
    3. 北京海淀区北三环中路69号导航办
    4. 长安大学地测学院
  • 收稿日期:2009-10-20 修回日期:2010-05-11 出版日期:2011-02-25 发布日期:2011-02-25
  • 通讯作者: 黄观文

Estimate and Predict Satellite Clock error Used Adaptively Robust Sequential Adjustment with Classified Adaptive Factors Based on Opening Windows

Yuanxi Yang2,2, 2   

  • Received:2009-10-20 Revised:2010-05-11 Online:2011-02-25 Published:2011-02-25

摘要: 常规最小二乘钟差模型不具有抵御粗差和钟跳的能力,容易受异常扰动而引起结果失真,从而直接影响导航定位精度。鉴于此,本文提出一种新的钟差算法——开窗分类因子抗差自适应序贯平差,即首先对一维钟差数据进行开窗处理,在窗口内利用抗差等价权削弱粗差影响,在窗口间构造自适应因子抵制钟跳异常,从而达到消除和削弱观测异常和状态异常的目的。同时,针对不同星钟参数不符值描述不同的扰动特性,提出构造分类自适应因子来抵制钟差时间序列中的扰动异常。计算结果表明,新算法一方面引入抗差估计,控制了粗差影响,拟合精度和预报精度与没有进行抗差处理的自适应序贯平差相比,分别提高78.9%和60.4%;另一方面由于新算法构造分类自适应因子,分别处理不同特征的状态异常,钟差拟合精度和预报精度与单因子抗差自适应序贯平差相比,分别提高4.3%和29.2%。新算法同样适用于除二次多项式以外的其它钟差模型,如AR模型、灰色模型等。

Abstract: Classical least-square clock model has been applied extensively in the area of navigation and positioning. However, it cannot reach a better result caused by some blunders and clock jumps. Actually, blunders and clock jumps have occurred so much that cannot be ignored in clock error series. General pre-processing methods, as transfer between phase and frequency, plot show, blunder detection and et al, cannot be satisfied with real-time clock error predicting. So, a new clock error method is proposed based on adaptively robust sequential adjustment with classified adaptive factors and open windows. Main ideas as follows: firstly, clock error series is opened windows with a better size; secondly, blunders in every window are processed using robust estimation; thirdly, clock jumps are eliminated by adaptive least-square between different windows. In a word, Observation anomaly and state anomaly can be impaired availably by above-mentioned steps. In addition, because different clock parameters depict different clock characteristic, classified adaptive factors are proposed to reject outlier in the clock data. Analysis results indicate: comparing with adaptively sequential adjustment, new method’s precision improved 78.9% and 60.4% in the fact of estimate and predict satellite clock error. Also, new method’s estimate and predict precision, because of classified adaptive factors, improved about 4.3% and 29.2% comparing with adaptively robust sequential adjustment. Furthermore, new method is usually fit for other clock models as AR model, Grey model and et al.