核模糊C均值聚类算法优选BDS-3三频组合观测值

doi:10.3969/j.issn.1001-506X.2020.03.025

Abstract

Abstract:

At present, researches on the optimization of global navigation satellite system (GNSS) triple-frequency combination observations mainly focus on global positioning system (GPS) and Beidou navigation satellite system (BDS)-2, while researches on BDS-3 are relatively few. In order to overcome the shortcomings of previous clustering optimization algorithms, which are only applicable to spherical clusters, highly subjective in the determination of clustering number and initial clustering centers, sensitive to outliers, and easily trapped in local optimal, a modified kernel-based fuzzy C-means (KFCM) clustering algorithm is introduced. This algorithm improves the above deficiencies by using the kernel function and a new kind of distance measure which can suppress the effect of outliers, optimize Gaussian kernel parameters based on generalized kernel polarization, initiale the number of clusters and the selection of initial clustering centers based on a new kind of modified mountain method. Then the fuzzy C-means clustering algorithm is used as a comparison experiment. Under short and long baseline conditions, the combination ambiguity is calculated respectively. By comparing and analyzing the ambiguity fixed success rate of the selected representative combinations, the feasibility of the algorithm and the effectiveness of the improved algorithm are proved.

Key words: triple-frequency combination, kernel-based fuzzy C-means clustering algorithm based on parameters optimization, matrix transformation algorithm, ambiguities fixing

CLC Number:

P288.4

Rui TIAN, Xiangxiang FAN, Ying DAI, Xianbing SUN, Xurong DONG. Optimal triple-frequency combination observations for BDS-3 derived from a modified kernel-based fuzzy C-means clustering algorithm[J]. Systems Engineering and Electronics, 2020, 42(3): 686-697.

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信号	信号分量	载波频率/MHz	调制方式
B1C	数据分量B1C_data	1 575.420	BOC(1, 1)
B1C	导频分量B1C_pilot	1 575.420	QMBOC(6, 1, 4/33)
B1I	—	1 561.098	BPSk
B2a	数据分量B2a_data	1 176.450	BPSK(10)
B2a	导频分量B2a_pilot	1 176.450	BPSK(10)
B3I	—	1 268.520	BPSK

Optimal triple-frequency combination observations for BDS-3 derived from a modified kernel-based fuzzy C-means clustering algorithm

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