基于FCM算法的BDS三频载波相位组合观测值优化选取
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摘要
针对传统GNSS载波相位组合观测值选取过程中效率低、工作量大的问题,在对BDS三频载波相位组合观测值的波长标准、电离层延迟标准、观测噪声标准进行误差分析的基础上,以长波长、弱电离层、弱观测噪声标准作为聚类指标,采用模糊C均值聚类算法对BDS三频载波相位组合观测值进行优化分类选取,最后通过矩阵变换法和实测数据对优化组合进行整周模糊度解算,对组合模糊度方差-协方差阵以及历元间模糊度差值进行分析,证明该方法的可行性和可靠性。
We solve the problem of low efficiency and heavy workload in the selection of traditional GNSS carrier phase combination observations. On the basis of error analysis of the wavelength standard, ionospheric delay standard and observation noise standard of the BDS triple-frequency carrier phase combination observations, with long wavelength, weak ionosphere and weak observation noise standard as the clustering indexes, the fuzzy C-means clustering algorithm is used to optimize the data of the BDS triple-frequency carrier phase combination observations. Then, through the matrix transformation method and measured data, the integer ambiguity of the optimized combination is resolved, and the variance-covariance matrix of the combination ambiguity and the ambiguity difference between each epoch is analyzed, proving the feasibility and reliability of the method.
We solve the problem of low efficiency and heavy workload in the selection of traditional GNSS carrier phase combination observations. On the basis of error analysis of the wavelength standard, ionospheric delay standard and observation noise standard of the BDS triple-frequency carrier phase combination observations, with long wavelength, weak ionosphere and weak observation noise standard as the clustering indexes, the fuzzy C-means clustering algorithm is used to optimize the data of the BDS triple-frequency carrier phase combination observations. Then, through the matrix transformation method and measured data, the integer ambiguity of the optimized combination is resolved, and the variance-covariance matrix of the combination ambiguity and the ambiguity difference between each epoch is analyzed, proving the feasibility and reliability of the method.
引文
[1] 李克昭, 孟福军, 丁安民,等. BDS多频组合模糊度解算方法研究[J]. 河南理工大学学报:自然科学版, 2015, 34(1):53-58(Li Kezhao, Meng Fujun, Ding Anmin, et al. Research on Method of Integer Ambiguity Resolution Algorithm by BDS Multi-Frequency Combination[J]. Journal of Henan Polytechnic University:Natural Science, 2015, 34(1):53-58)
[2] 刘亚涛, 胡晓粉, 张冲,等. 基于模糊C均值聚类的载波相位组合观测值优化选取[J]. 导航定位学报, 2013, 1(4):89-92(Liu Yatao, Hu Xiaofen, Zhang Chong, et al. Optimization of Carrier Phase Combination Observations Selection Based on Fuzzy C-Means Algorithm[J].Journal of Navigation and Positioning, 2013, 1(4):89-92)
[3] 何伟, 陶庭叶, 王志平. 基于改进FCM的北斗三频组合观测值选取[J]. 中国空间科学技术, 2014, 34(4):24-30(He Wei, Tao Tingye, Wang Zhiping. Selection on Improved Fuzzy C-Means Algorithm of BeidouTriple-Frequency Combination Observations[J]. Chinese Space Science and Technology, 2014, 34(4):24-30)
[4] 黄令勇, 宋力杰, 刘先冬. 基于自适应聚类算法的GPS三频载波相位组合观测值优化选取[J]. 大地测量与地球动力学, 2011, 31(4):99-102(Huang Lingyong, Song Lijie, Liu Xiandong.Optimization and Selection of GPS Triple-Carriers Phase Combination Observations Based Self-Adaptive Clustering[J]. Journal of Geodesy and Geodynamics, 2011, 31(4):99-102)
[5] 王勇, 赵修斌, 庞春雷,等. BDS/GPS四频组合观测值系数选择方法与分析[J]. 空军工程大学学报:自然科学版, 2014(4):70-74(Wang Yong, Zhao Xiubin, Pang Chunlei,et al. A Selective Method and Analysis of BDS/GPS Four-Frequency Combination Observational Coefficients[J].Journal of Air Force Engineering University:Natural Science Edition, 2014(4):70-74)
[6] 邢喆, 王泽民, 伍岳. 利用模糊聚类方法筛选GPS载波相位组合观测值[J]. 武汉大学学报:信息科学版, 2006, 31(1):23-26(Xing Zhe, Wang Zemin, Wu Yue. Choice of Carrier Phase Combined Observation of GPS Using Fuzzy Cluster[J]. Geomatics and Information Science of Wuhan University, 2006, 31(1):23-26)
[7] 黄令勇,宁德阳,吕志平,等.两种长基线模糊度解算方法在北斗三频应用中的比较[J].大地测量与地球动力学,2014,34(5):101-105(Huang Lingyong, Ning Deyang, Lü Zhiping, et al. Comparative Study on Two Long-Base Line Ambiguity Resolution Methods in Application of Beidou/Compass Triple-Frequncey[J].Journal of Geodesy and Geodynamics, 2014,34(5):101-105)
[8] Feng Y M. A Completed Geometry-Free Approach to Three Carrier Ambiguity Resolutions[C]. The 2004 International Symposium on GNSS/GPS, Sydney, 2004
[9] Tang W, Deng C, Shi C, et al. Triple-Frequency Carrier Ambiguity Resolution for Beidou Navigation Satellite System[J]. GPS Solutions, 2014, 18(3):335-344
[2] 刘亚涛, 胡晓粉, 张冲,等. 基于模糊C均值聚类的载波相位组合观测值优化选取[J]. 导航定位学报, 2013, 1(4):89-92(Liu Yatao, Hu Xiaofen, Zhang Chong, et al. Optimization of Carrier Phase Combination Observations Selection Based on Fuzzy C-Means Algorithm[J].Journal of Navigation and Positioning, 2013, 1(4):89-92)
[3] 何伟, 陶庭叶, 王志平. 基于改进FCM的北斗三频组合观测值选取[J]. 中国空间科学技术, 2014, 34(4):24-30(He Wei, Tao Tingye, Wang Zhiping. Selection on Improved Fuzzy C-Means Algorithm of BeidouTriple-Frequency Combination Observations[J]. Chinese Space Science and Technology, 2014, 34(4):24-30)
[4] 黄令勇, 宋力杰, 刘先冬. 基于自适应聚类算法的GPS三频载波相位组合观测值优化选取[J]. 大地测量与地球动力学, 2011, 31(4):99-102(Huang Lingyong, Song Lijie, Liu Xiandong.Optimization and Selection of GPS Triple-Carriers Phase Combination Observations Based Self-Adaptive Clustering[J]. Journal of Geodesy and Geodynamics, 2011, 31(4):99-102)
[5] 王勇, 赵修斌, 庞春雷,等. BDS/GPS四频组合观测值系数选择方法与分析[J]. 空军工程大学学报:自然科学版, 2014(4):70-74(Wang Yong, Zhao Xiubin, Pang Chunlei,et al. A Selective Method and Analysis of BDS/GPS Four-Frequency Combination Observational Coefficients[J].Journal of Air Force Engineering University:Natural Science Edition, 2014(4):70-74)
[6] 邢喆, 王泽民, 伍岳. 利用模糊聚类方法筛选GPS载波相位组合观测值[J]. 武汉大学学报:信息科学版, 2006, 31(1):23-26(Xing Zhe, Wang Zemin, Wu Yue. Choice of Carrier Phase Combined Observation of GPS Using Fuzzy Cluster[J]. Geomatics and Information Science of Wuhan University, 2006, 31(1):23-26)
[7] 黄令勇,宁德阳,吕志平,等.两种长基线模糊度解算方法在北斗三频应用中的比较[J].大地测量与地球动力学,2014,34(5):101-105(Huang Lingyong, Ning Deyang, Lü Zhiping, et al. Comparative Study on Two Long-Base Line Ambiguity Resolution Methods in Application of Beidou/Compass Triple-Frequncey[J].Journal of Geodesy and Geodynamics, 2014,34(5):101-105)
[8] Feng Y M. A Completed Geometry-Free Approach to Three Carrier Ambiguity Resolutions[C]. The 2004 International Symposium on GNSS/GPS, Sydney, 2004
[9] Tang W, Deng C, Shi C, et al. Triple-Frequency Carrier Ambiguity Resolution for Beidou Navigation Satellite System[J]. GPS Solutions, 2014, 18(3):335-344
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