非线性基线长度约束在北斗测姿中的应用

发布时间：2018-07-26 14:52

【摘要】：针对传统无约束LAMBDA(least-squares ambiguity decorrelation adjustment)算法中整周模糊度求解成功率不高的问题,提出一种利用基线约束的整数最小二乘快速求解整周模糊度的方法,并将其应用到北斗姿态测量系统中。该方法利用基线长度作为先验信息,将无约束的整数最小二乘扩展为非线性约束的最小二乘,并采用正交映射方法求解其约束解;同时在模糊度求解过程中,根据搜索空间的特性,先确定其上下界范围,再对模糊度残差范围限定,减少模糊度搜索过程中的候选解,最后采用迭代增加模糊度空间法和约束最小二乘求解对模糊度候选解筛选。实验采用单频北斗接收机实时数据对该算法的有效性进行验证,结果表明,在单频单历元条件下,该算法有效降低计算量,将姿态角求解成功率提高30%左右。
[Abstract]:In order to solve the problem of low success rate of integer ambiguity resolution in traditional unconstrained LAMBDA (least-squares ambiguity decorrelation adjustment) algorithm, an integer least square method with baseline constraints is proposed and applied to Beidou attitude measurement system. Using the baseline length as the prior information, the unconstrained integer least squares is extended to the least squares with nonlinear constraints, and the orthogonal mapping method is used to solve the constraint solutions. According to the characteristics of the search space, the upper and lower bound range is first determined, and then the ambiguity residual range is limited to reduce the candidate solution in the ambiguity search process. In the end, iterative adding ambiguity space method and constrained least square method are used to screen the candidate solutions of ambiguity. The validity of the algorithm is verified by the real time data of the single frequency Beidou receiver. The results show that the algorithm can effectively reduce the computational complexity and increase the success rate of attitude angle solution by about 30% under the condition of single frequency and single epoch.
【作者单位】：重庆邮电大学移动通信技术重点实验室;
【基金】：重庆市自然科学基金(cstc2013jcyj A40032)~~
【分类号】：P228.4

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