引用本文: 章繁, 刘长建, 冯绪, 李林阳, 王方超. 一种基于拓展岭估计的北斗三频周跳实时处理方法[J]. 武汉大学学报 ( 信息科学版), 2020, 45(1): 62-71.
ZHANG Fan, LIU Changjian, FENG Xu, LI Lingyang, WANG Fangchao. A Triple-Frequency Cycle Slip Real-Time Processing Method for BDS Based on Extented Ridge Estimation[J]. Geomatics and Information Science of Wuhan University, 2020, 45(1): 62-71.
 Citation: ZHANG Fan, LIU Changjian, FENG Xu, LI Lingyang, WANG Fangchao. A Triple-Frequency Cycle Slip Real-Time Processing Method for BDS Based on Extented Ridge Estimation[J]. Geomatics and Information Science of Wuhan University, 2020, 45(1): 62-71.

## A Triple-Frequency Cycle Slip Real-Time Processing Method for BDS Based on Extented Ridge Estimation

• 摘要: 构建了两个无几何相位组合以及一个无几何伪距相位组合，并将其组成3个线性无关的周跳探测量，三者均能有效探测出小至一周的周跳。针对该探测组合存在的方程组病态的问题，提出了一种基于拓展岭估计的北斗卫星导航系统（BeiDou navigation satellite system，BDS）三频周跳实时修复方法。该方法首先采用统计-验证-优化的方式确定出岭参数搜索域R，然后以残差平方和最小为原则在R中搜索岭参数k值，最后对岭估计实数解求整得到整数周跳，并将历元修复后的两组残差平方和设为周跳修复可靠性检验指标。利用BDS三频实测数据对该算法进行验证，实验结果表明，该算法能够实现对全部北斗二号系统（BDS-2）和北斗三号系统（BDS-3）卫星三频周跳的实时探测与修复，具有较高的处理效率、适用性以及可靠性。

Abstract: Two geometric-free phase combinations and one geometric-free pseudo-range phase combination are constructed to form three linearly independent cycle slip detection quantities, which can effectively detect cycle slips as small as one cycle. To solve the problem of ill-conditioned equations in this detection combination, a real-time method for repairing BeiDou navigation satellite system(BDS)triple-frequency cycle slip based on extended ridge estimation is proposed. Firstly, the searching region R of ridge parameters is determined using statistical-validation-optimization method. Then, the k value of ridge parameters is searched in R based on the principle of minimizing the sum of squared residual errors. Finally, the ridge estimated real value is rounded to obtain the integer cycle slip, and the sum of two residual squares after the repair in the epoch is used as the cycle slip repair reliability test index. The algorithm is verified with the measured BeiDou triple-frequency data, and the results show that the algorithm can realize real-time detection and repair of the triple-frequency cycle slip in BDS-2 and BDS-3 observations, with high processing efficiency, applicability and reliability.

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