A cycle slip fixing method with GPS + GLONASS observations in real-time kinematic PPP

Ye, Shirong; Liu, Yanyan; Song, Weiwei; Lou, Yidong; Yi, Wu; Zhang, Rui; Jiang, Peng; Xiang, Yu

doi:10.1007/s10291-015-0439-3

Cited by 18 publications

(7 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For single epoch GPS satellites, the undifferenced observation equation of dualfrequency code pseudorange and carrier phase can be derived as follows [23][24][25]:…”

Section: Wide-lane Phase Minus Narrow-lane Pseudorange (Wl-nl) Combination With Pseudorange Multipathmentioning

confidence: 99%

“…Here, the multipath (mp 1 − mp 1 ) and observation noise (ε 1 − ε 2 ) on frequencies L1 and L2 are approximately equal, so the (mp 1 − mp 1 + ε 1 − ε 2 ) term on the right-hand side of the equation can be ignored, and the corresponding GF combination only contains the effects of the ionosphere and the ambiguity. When a cycle slip occurs in the carrier phase observation of the ith epoch, differencing the above equation between adjacent epochs yields the first-order difference GF combination [18,25] containing the ionospheric residual I e−res = (I e (i) − I e (i − 1)) and cycle slip information (λ 2 ∆N 2 − λ 1 ∆N 1 ):…”

Section: Detecting Cycle Slips With Second-order Difference Geometry-free Combination Considering Elevationmentioning

confidence: 99%

“…Therefore, in actual application, the two methods need to be combined effectively. Together, they make up for each others' shortcomings, and the occurring frequency and value of cycle slips can be determined by Equation (25).…”

Section: Cycle Slip Repair Based On Spatial Search and Objective Function Minimization Criterionmentioning

confidence: 99%

See 2 more Smart Citations

Algorithm for Real-Time Cycle Slip Detection and Repair for Low Elevation GPS Undifferenced Data in Different Environments

Liu

Zhang

et al. 2021

Remote Sensing

View full text Add to dashboard Cite

Real-time cycle slip detection and repair is one of the key issues in global positioning system (GPS) high precision data processing and application. In particular, when GPS stations are in special environments, such as strong ionospheric disturbance, sea, and high-voltage transmission line interference, cycle slip detection and repair in low elevation GPS observation data are more complicated than those in normal environments. For low elevation GPS undifferenced carrier phase data in different environments, a combined cycle slip detection algorithm is proposed. This method uses the first-order Gauss–Markov stochastic process to model the pseudorange multipath in the wide-lane phase minus narrow-lane pseudorange observation equation, and establishes the state equation of the wide-lane ambiguity with the pseudorange multipath as a parameter, and it uses the Kalman filter for real-time estimation and detects cycle slips based on statistical hypothesis testing with a predicted residual sequence. Meanwhile, considering there are certain correlations among low elevation, observation epoch interval, and ionospheric delay error, a second-order difference geometry-free combination cycle slip test is constructed that takes into account the elevation. By combining the two methods, real-time cycle slip detection for GPS low elevation satellite undifferenced data is achieved. A cycle slip repair method based on spatial search and objective function minimization criterion is further proposed to determine the correct solution of the cycle slips after they are detected. The whole algorithm is experimentally verified using the static and kinematic measured data of low elevation satellites under four different environments: normal condition, high-voltage transmission lines, dynamic condition in the sea, and ionospheric disturbances. The experimental results show that the algorithm can detect and repair cycle slips accurately for low elevation GPS undifferenced data, the difference between the float solution and the true value for the cycle slip does not exceed 0.5 cycle, and the differences obey the normal distribution overall. At the same time, the wide-lane ambiguity and second-order difference GF combination sequence calculated by the algorithm is smoother, which give further evidence that the algorithm for cycle slip detection and repair is feasible and effective, and has the advantage of being immune to the special observation environments.

show abstract

“…For single epoch GPS satellites, the undifferenced observation equation of dualfrequency code pseudorange and carrier phase can be derived as follows [23][24][25]:…”

Section: Wide-lane Phase Minus Narrow-lane Pseudorange (Wl-nl) Combination With Pseudorange Multipathmentioning

confidence: 99%

Section: Detecting Cycle Slips With Second-order Difference Geometry-free Combination Considering Elevationmentioning

confidence: 99%

See 1 more Smart Citation

Algorithm for Real-Time Cycle Slip Detection and Repair for Low Elevation GPS Undifferenced Data in Different Environments

Liu

Zhang

et al. 2021

Remote Sensing

View full text Add to dashboard Cite

show abstract

“…PPP time and frequency transfer were studied by Zhang and Tu [ 16 ] based on different satellites and precise products, and the results indicated that the PPP time transfer with the precise products from Center for Orbit Determination in Europe (CODE) and GeoForschungsZentrum (GFZ) exhibited better performance than those using other products. In another previous investigation, the precise products from European Space Agency’s Space Operations Centre (ESA/ESOC) were adopted by some researchers for GPS + GLONASS PPP processing [ 19 ]. The precise products from GFZ or WUM were preferred by some other researchers for multi-GNSS PPP processing [ 20 , 21 , 22 ].…”

Section: Introductionmentioning

confidence: 99%

An Investigation of Precise Orbit and Clock Products for BDS-3 from Different Analysis Centers

Shen

Fang

et al. 2021

Sensors

View full text Add to dashboard Cite

A quality evaluation of precise products for BDS-3 constellations is presented for the first time in this contribution. Then, the tropospheric delay retrieval and positioning performance of BDS-3 precise point positioning (PPP) solutions using the precise products (gbm, wum, iac, sha, cnt) with observations from 24 stations from DOY 280 to 317 in 2020 was comprehensively investigated. The orbit comparisons present consistencies of 0.09–0.22 m for the C19–C37 satellites and of 0.5–1.2 m for the C38–C46 satellites among the final products. The standard deviation (STD) values of the clock differences of iac showed the best agreement with those of gbm, followed by wum, sha. The clock differences performance of cnt was the worst. For BDS-3 PPP solutions with five Analysis centers (ACs) products, the median convergence times of static PPP mode incorporating the gbm, wum, iac, sha, and cnt products were 31.0, 33.5, 34.5, 37.8, and 72.0 min, respectively; the median convergence times of kinematic PPP model incorporating the same products were 40.5, 41.0, 50.5, 55.0, and 94.0 min, respectively. The positioning accuracies in the static and kinematic modes were approximately 1–4 cm, 2–6 cm in the horizontal and vertical components, respectively. With the final products in kinematic mode, the performance of PPP with real-time products (cnt) is poorer than all PPP with final products. The median of ZTD accuracies of the five products gbm, wum, iac, sha, and cnt were 7.84, 7.58, 7.04, 7.19, and 10.1 mm, respectively, and the accuracy differences were very small among five AC products (gbm, wum, iac, sha).

show abstract

“…Most of these methods utilizes the time-differenced model. Zhang and Li [14] predicted the atmospheric delays and fixed cycle slip in dual-frequency PPP with a time-differenced model, and Ye et al [15] expanded the method to GPS + Global Navigation Satellite System (GLONASS) observations. Carcanague [16] utilized the time-differenced model to fix cycle slip for single frequency GPS + GLONASS observations.…”

Section: Introductionmentioning

confidence: 99%

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

Qian

Liu

Zhang

et al. 2016

Sensors

View full text Add to dashboard Cite

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.

show abstract

A cycle slip fixing method with GPS + GLONASS observations in real-time kinematic PPP

Cited by 18 publications

References 20 publications

Algorithm for Real-Time Cycle Slip Detection and Repair for Low Elevation GPS Undifferenced Data in Different Environments

Algorithm for Real-Time Cycle Slip Detection and Repair for Low Elevation GPS Undifferenced Data in Different Environments

An Investigation of Precise Orbit and Clock Products for BDS-3 from Different Analysis Centers

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

Contact Info

Product

Resources

About