A Geometry-Based Cycle Slip Detection and Repair Method with Time-Differenced Carrier Phase (TDCP) for a Single Frequency Global Position System (GPS) + BeiDou Navigation Satellite System (BDS) Receiver

Abstract

As the field of high-precision applications based on carriers continues to expand, the development of low-cost, small, modular receivers and their application in diverse scenarios and situations with complex data quality has increased the requirements of carrier-phase data preprocessing. A new geometry-based cycle slip detection and repair method based on Global Position System (GPS) + BeiDou Navigation Satellite System (BDS) is proposed. The method uses a Time-differenced Carrier Phase (TDCP) model, which eliminates the Inner-System Bias (ISB) between GPS and BDS, and it is conducive to the effective combination of GPS and BDS. It avoids the interference of the noise of the pseudo-range with cycle slip detection, while the cycle slips are preserved as integers. This method does not limit the receiver frequency number, and it is applicable to single-frequency data. The process is divided into two steps to detect and repair cycle slip. The first step is cycle slip detection, using the Improved Local Analysis Method (ILAM) to find satellites that have cycle slips; The second step is to repair the cycle slips, including estimating the float solution of changes in ambiguities at the satellites that have cycle slips with the least squares method and the integer solution of the cycle slips by rounding. In the process of rounding, in addition to the success probability, a decimal test is carried out to validate the result. Finally, experiments with filed test data are carried out to prove the effectiveness of this method. The results show that the detectable cycle slips number with GPS + BDS is much greater than that with GPS. The method can also detect the non-integer outliers while fixing the cycle slip. The maximum decimal bias in repair is less than that with GPS. It implies that this method takes full advantages of multi-system.

A New Real-Time Cycle Slip Detection and Repair Method under High Ionospheric Activity for a Triple-Frequency GPS/BDS Receiver

“…However, they cannot detect small cycle slips due to the presence of clock error. Based on multi-constellation signals, Qian et al [ 3 ] further proposed a cycle slip detection and repair method for a single-frequency Global Positioning System (GPS)/BeiDou Navigation Satellite System (BDS) receiver. But it is not applicable for single-system receiver because both GPS and BDS signals are required.…”

Does RAIM with Correct Exclusion Produce Unbiased Positions?

“…Depending on the parametrization of the underlying model, many different implementations of these test-statistics exist [ 7 , 8 , 9 , 10 , 11 ]. Next to aviation, RAIM-testing finds its application also in a broad range of other applications (see, e.g., [ 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ]).…”

Ionosphere-Constrained Single-Frequency PPP with an Android Smartphone and Assessment of GNSS Observations

“…Due to the lack of dual-frequency GNSS observations, cycle slip detection is another challenging task for the smartphones. At present, the main cycle slip methods for single-frequency scenario include code-phase comparison, Doppler integration, and higher-order time differencing of carrier phase observations [ 25 , 26 , 27 ]. In this study, the methods of code-phase comparison and Doppler integration are employed for the detection of cycle slips contained in the data collected by the smartphones.…”