Detection and repair of BDS six-frequency cycle slips based on recursive filtering and integer constraint method

Abstract

The multi-frequency signals of the Beidou system are very helpful for positioning, but in data processing, the detection and repair of multi-frequency cycle slips also face certain challenges. A recursive filtering and integer constraint cycle slip detection and repair method for the Beidou six-frequency is proposed in this paper. This method utilises five sets of combination coefficients of six-frequency and three sets of dual-frequency combinations, and detects and repairs cycle slips through integer constraints of cycle slip estimation. The proposed method has been validated by data with a sampling rate of 1 Hz, and can detect the position and size of cycle slips at various frequencies, whether it is random cycle slips or small cycle slips of equal size less than 2 cycles, with a detection success rate of 100%.

Keywords:

• Multi-frequency
• Cycle slip
• Detection
• Repair
• Recursive filtering
• Integer constraint

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

All data and materials can be consulted with the corresponding author. The original data can be downloaded publicly, the download website is: https://cddis.nasa.gov/archive/gnss/data/highrate/. Other materials can be obtained by contacting the corresponding author J.W. (email: [email protected])

Additional information

Funding

This study was financially supported by Yunnan Province University Integrated Mobile Medical Building Engineering Research Center Project, Subject Construction Fund of Yunnan College of Business Management [grant number 2022XKJS06].

Notes on contributors

Dewu Huang

Dewu Huang, was born in Henan, China in 1980, received a master’s degree in geodesy and survey engineering from Southwest Jiaotong University in 2006, and his research direction: GNSS data processing and security monitoring.

Jianying Wang

Jianying Wang, was born in Henan, China in 1979, received a master’s degree in environmental Engineering from Kunming University of Science and Technology in 2007, and her research direction: Surveying data processing and data modelling.