Abstract
Theoretically, five-frequency observations can form combined observations with longer wavelength, smaller ionospheric delay and smaller noise, which may improve the performance of cycle slip detection and repair. Four geometry-free phase combinations and one geometry-free phase and pseudorange combination are formed to detect and repair the cycle slips in real time. Firstly, the high-quality geometry-free phase combinations of three, four and five frequencies are discussed, then the optimal five-frequency geometry-free phase combinations are selected to detect the cycle slips. Secondly, one geometry-free phase and pseudorange combination which is linearly independent with the above four phase combinations is added to ensure that all the cycle slips can be detected. Thirdly, a real-time cycle slip repair algorithm based on the LAMBDA search method is deduced. The five-frequency real-time cycle slip detection and repair method has been tested by using BDS-3 undifferenced data, even under the condition of active ionospheric and low sampling interval. The results showed that the proposed method is capable of detecting and repairing all the simulated cycle slips on the five carriers in real time.
Highlights
The phenomenon of cycle slip inevitably occurs because of the temporary failure of lock in the GNSS receiver carrier tracking loop, low signal-to-noise ratio, active ionosphere or high receiver dynamics
Cai et al [7] presented a forward and backward moving window averaging (FBMWA) method integrated with the secondorder time-differenced phase ionospheric residual (STPIR) method based on the Turbo Edit method
Simulated typical insensitive cycle slip groups are added to the raw five-frequency data of the two satellites in order to verify the effectiveness of the cycle slip detection method
Summary
The phenomenon of cycle slip inevitably occurs because of the temporary failure of lock in the GNSS receiver carrier tracking loop, low signal-to-noise ratio, active ionosphere or high receiver dynamics. CYCLE SLIP DETECTION USING FIVE-FREQUENCY GEOMETRY-FREE PHASE COMBINATIONS The carrier phase and code observation at epoch t0 can be expressed as
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