An improved triple‐frequency cycle slip detection and repair method based on wavelet packet transform and adaptive threshold for BeiDou System satellite

Su, Mingkun; Yang, Ya‐Nan; Qiao, Lei; Liu, Erxiao; Song, Huina; Wu, Chao; Zhang, Huan

doi:10.1049/rsn2.12321

Cited by 3 publications

(2 citation statements)

References 30 publications

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“…Scheme II. To further test the effectiveness of the proposed cycle slip detection and repair algorithm, the random combination (0,1,2), (3,2,−2), (2,3,4), (2,0,−1), (4,−3,1), (4,2,5), and (0,2,4) which represent intensive and continuous cycle slips, is added to satellite C25, C39, and C59 from the 400th to 406th epochs. The detection and repair results of Scheme II are shown in Figure 7 and Table 5.…”

Section: Performance Analysis Of Cycle Slip Detection and Repair Base...mentioning

confidence: 99%

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A Cycle Slip Detection and Repair Method Based on Inertial Aiding for BDS Triple-Frequency Signals

Sun

et al. 2023

Sensors

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Cycle slip detection and repair is a prerequisite to obtain high-precision positioning based on a carrier phase. Traditional triple-frequency pseudorange and phase combination algorithm are highly sensitive to the pseudorange observation accuracy. To solve the problem, a cycle slip detection and repair algorithm based on inertial aiding for a BeiDou navigation satellite system (BDS) triple-frequency signal is proposed. To enhance the robustness, the INS-aided cycle slip detection model with double-differenced observations is derived. Then, the geometry-free phase combination is united to detect the insensitive cycle slip, and the optimal coefficient combination is selected. Furthermore, the L2-norm minimum principle is used to search and confirm the cycle slip repair value. To correct the INS error accumulated over time, the extended Kalman filter based on the BDS/INS tightly coupled system is established. The vehicular experiment is conducted to evaluate the performance of the proposed algorithm from a few aspects. The results indicate that the proposed algorithm can reliably detect and repair all cycle slips that occur in one cycle, including the small and insensitive cycle slips as well as the intensive and continuous cycle slips. Additionally, in signal-challenged environments, the cycle slips occurring 14 s after a satellite signal outage can be correctly detected and repaired.

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Section: Performance Analysis Of Cycle Slip Detection and Repair Base...mentioning

confidence: 99%

“…It has been used in many fields, such as surveying, mapping, navigation, and so on. However, the carrier phase cycle slip will occur in the case of low cut-off elevation angle, covered by high buildings, receiver failure, and high dynamic conditions [ 1 , 2 , 3 ]. Therefore, it is difficult to guarantee positioning accuracy.…”

Section: Introductionmentioning

confidence: 99%

A Cycle Slip Detection and Repair Method Based on Inertial Aiding for BDS Triple-Frequency Signals

Sun

et al. 2023

Sensors

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Cycle slip detection and repair method towards multi-frequency BDS-3/INS tightly coupled integration in kinematic surveying

Xiao,

Zhu,

Zhang

et al. 2024

J Geod

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Carrier phase integer ambiguities must be determined for BDS-3/inertial navigation system (INS) tightly coupled (TC) integration to achieve centimetre-level positioning accuracy. However, cycle slip breaks the consistency of the integer ambiguities. Conventional multi-frequency cycle slip methods use the pseudorange; thus, requiring improvement when applied to kinematic situations. Furthermore, a concise and nonprior information-dependent model is crucial for real-time processing. In this study, an inertial-aided BDS-3 cycle slip detection and repair (I-CDR) method was developed. First, a BDS-3/INS TC model with I-CDR was created. The ionospheric delays were modelled as part of the TC states; therefore, they could be estimated and eliminated. Investigations were conducted on the effects of carrier phase noise, residual ionosphere delay, and INS-predicted position error on combined cycle slip detection (CCD) accuracy. The optimal CCDs under various frequency available configurations were determined. The effectiveness of I-CDR was demonstrated using land vehicle test data. The false alarm ratio was less than 1.0%, and the missed detection ratio was almost zero even in situations with challenging abundant 1-cycle slips in random epochs. Furthermore, the right determination ratio reached 100%. In addition, BDS-3 signal loss-recovery cases were simulated, and all cycle slips for all satellites could be repaired within 40s. I-CDR exhibits outstanding cycle slip detection and repair performance for dense 1-cycle slip and signal loss-recovery cases, demonstrating its suitability for BDS-3/INS TC integration.

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A cycle slip detection and repair method based on generalized-cross-validation regularization for BDS-3 quad/pent-frequency data

Zhao,

Nie,

Chen

et al. 2024

Meas. Sci. Technol.

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Multi-frequency (quad/pent-frequency) observations improve the success rate for BeiDou Navigation Satellite System (BDS-3) cycle slip detection and repair. Three factors are comprehensively considered: the combination of observation wavelength, the amplification factor of ionospheric delay, and the insensitivity, to select the optimal combination coefficients for BDS-3 multi-frequency cycle slip detection. Due to the ill-conditioned equation in multi-frequency cycle slip repair, the Generalized-Cross-Validation (GCV) regularization auxiliary LAMBDA method is proposed. To validate the effectiveness of the proposed detection and repair method under different observation environments, two stations are selected for the test. Using real data, the effectiveness of the selected optimal combination coefficients and the proposed method are tested. The conclusions are as follows: (1) For quad-frequency, one geometry-free and ionosphere-free (GFIF) combination [-1, 2, -4, 3] and three linearly independent geometry-free carrier phase (GF) combinations [-1, 1, 0, 0], [-1, 1, 1, -1], and [-1, 2, -1, 0] are employed to detect cycle slips. For pent-frequency, one GFIF combination [-2, 2, 1, -2, 1] and four linearly independent GF combinations [-1, 1, 0, 0, 0], [0, 0, -1, 1, 0], [0, 0, -1, 0, 1], and [0, -1, 1, 1, -1] are adopted for cycle slip detection. (2) The algorithm proposed in this paper has been demonstrated to achieve a quad/pent-frequency cycle slip detection success rate of 99.99% and 100% in the coastal environment, and both 100% for quad/pent-frequency detection success in the urban environment. (3) The success rate of repair were 99.27% and 99.94% for the coastal stations, and 99.83% and 100% for the urban stations, respectively. The proposed algorithm offers a dependable approach for the identification and rectification of multi-frequency cycle slips, while also providing a point of reference for the future advancement of multi-frequency cycle slip repair techniques.

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An improved triple‐frequency cycle slip detection and repair method based on wavelet packet transform and adaptive threshold for BeiDou System satellite

Cited by 3 publications

References 30 publications

A Cycle Slip Detection and Repair Method Based on Inertial Aiding for BDS Triple-Frequency Signals

A Cycle Slip Detection and Repair Method Based on Inertial Aiding for BDS Triple-Frequency Signals

Cycle slip detection and repair method towards multi-frequency BDS-3/INS tightly coupled integration in kinematic surveying

A cycle slip detection and repair method based on generalized-cross-validation regularization for BDS-3 quad/pent-frequency data

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