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A new efficient fusion positioning method for single-epoch multi-GNSS based on the theoretical analysis of the relationship between ADOP and PDOP
The global navigation satellite system (GNSS) can provide single-epoch differential positioning services for geological disasters with a sudden and...
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Assessment of overlap** triple-frequency BDS-3/BDS-2/INS tightly coupled integration model in kinematic surveying
The China BeiDou Navigation Satellite System (BDS-3) is recognized for its advantages compared to BDS-2. However, the enhancement of performance...
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Application of optimal stop** theory in batch partial ambiguity resolution
As the number of satellites increases, the risk of fixing wrong integer ambiguities may reduce the accuracy and efficiency of ambiguity resolution...
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Theoretical analysis of the multi-GNSS contribution to partial ambiguity estimation and R-ratio test-based ambiguity validation
The fast and high-precision positioning with multiple Global Navigation Satellite Systems (multi-GNSS) has been challenging for decades. Although the...
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GLONASS–only FDMA+CDMA RTK: Performance and outlook
An assessment of standalone GLONASS RTK performance is provided using its FDMA and CDMA signals. The new integer-estimable GLONASS FDMA model...
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S2L-RTK: temporal ionospheric modeling for RTK baselines varying from short to long
Real-time kinematic (RTK) has been widely used in mobile map**. In a large-scale mobile map** scene with long baseline, such as airborne...
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Multi-epoch PPP-RTK corrections: temporal characteristics, pitfalls and user-impact
PPP-RTK corrections, aiding GNSS users to achieve single-receiver integer ambiguity-resolved parameter solutions, are often estimated in a recursive...
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GNSS-RTK model: common-frequency versus mixed-frequency
Global navigation satellite system real-time kinematic (RTK) normally takes advantage of a common-frequency (CF) model, in which, the frequency bands...
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Stochastic modeling with robust Kalman filter for real-time kinematic GPS single-frequency positioning
The centimeter-level positioning accuracy of real-time kinematic (RTK) depends on correctly resolving integer carrier-phase ambiguities. To improve...
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Integer-estimable GLONASS FDMA model as applied to Kalman-filter-based short- to long-baseline RTK positioning
Fast ambiguity resolution is a major challenge for GLONASS phase-based applications. The integer-estimable frequency-division multiple-access...
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Two-epoch centimeter-level PPP-RTK without external atmospheric corrections using best integer-equivariant estimation
Ambiguity resolution enabled precise point positioning (PPP-AR or PPP-RTK) without atmospheric corrections requires the user to estimate tropospheric...
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Adaptive Kalman filter based on integer ambiguity validation in moving base RTK
In high-precision dynamic positioning, it is necessary to ensure the positioning accuracy and reliability of the navigation system, especially for...
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Bias-constrained integer least squares estimation: distributional properties and applications in GNSS ambiguity resolution
To accommodate the presence of bounded biases in mixed-integer models, Khodabandeh (
2022 ) extended integer estimation theory by introducing a new...
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Vectorial integer bootstrap** of best integer equivariant estimation (VIB-BIE) for efficient and reliable GNSS ambiguity resolution
Reliable integer ambiguity resolution (IAR) is essential for carrier phase-based centimeter-level accurate positioning using global navigation...
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Integer ambiguity resolution and precise positioning for tight integration of BDS-3, GPS, GALILEO, and QZSS overlap** frequencies signals
The loose integration positioning is typically applied for multi-frequency, multi-GNSS observations where the individual reference satellite is...
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Vectorial integer bootstrap**: flexible integer estimation with application to GNSS
In this contribution, we extend the principle of integer bootstrap** (IB) to a vectorial form (VIB). The mathematical definition of the class of...
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GNSS integer ambiguity posterior probability calculation with controllable accuracy
Integer ambiguity resolution (IAR) is one of the key techniques in GNSS high precise positioning. However, an overlooked incorrect integer ambiguity...
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Regularized integer least-squares estimation: Tikhonov’s regularization in a weak GNSS model
The strength of the GNSS precise positioning model degrades in cases of a lack of visible satellites, poor satellite geometry or uneliminated...
