BDS三频信号最优组合的模糊聚类分析法

针对如何优选出三频BDS最优载波相位线性组合观测量的问题,基于三频GNSS载波相位组合观测量理论,本文提出最优组合观测量选取的模糊聚类分析法。首先构建满足超宽巷组合和窄巷组合条件,且具有不同巷数、电离层数及噪声放大因子的三频BDS组合观测量,并假定各参数均为最优值的理论最优组合观测量;然后对满足条件的超宽巷组合和窄巷组合用模糊聚类分析法进行聚类排序;最后根据各组合观测量与假定的最优组合观测量聚为一类的先后顺序,确定三频BDS最优组合观测量的选取顺序。结果表明:模糊聚类分析法通过组合观测量的聚类排序,实现了最优组合观测量的筛选。无几何TCAR算法也验证了模糊聚类分析结果的正确性。

Fuzzy clustering analysis method for optimal combinations of BDS triple-frequency signals

Aiming at how to select the optimal carrier-phase linear combinations for triple-frequency BDS, a fuzzy clustering analysis method based on the theory of triple-frequency GNSS carrier phase combination is proposed. Firstly, the combination which satisfies the conditions of extra-wide-lane and narrow-lane combination and has different lane-number, ion-number and noise amplification factor is constructed, and the theoretical optimal combination with optimal parameters is assumed. Then, the extra-wide-lane combinations and narrow-lane combinations satisfying the conditions has been clustered and sorted by fuzzy clustering analysis method. Finally, according to the clustered sequence of each combination with the assumed theoretical optimal combination, the order of selection for triple-frequency BDS optimal combinations is determined. The results show that the fuzzy clustering analysis method achieves the selection of the optimal combined observations by clustering the combined observations.The results of geometry-free TCAR algorithm also verify the correctness of fuzzy clustering analysis results.