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  • Article
  • Open Access
3 Citations
3,737 Views
16 Pages

Sequential Ambiguity Resolution Method for Poorly-Observed GNSS Data

  • Haiyang Li,
  • Guigen Nie,
  • Shuguang Wu and
  • Yuefan He

27 May 2021

Integer ambiguity resolution is required to obtain precise coordinates for the global navigation satellite system (GNSS). Poorly observed data cause unfixed integer ambiguity and reduce the coordinate accuracy. Previous studies mostly used denoise fi...

  • Article
  • Open Access
2 Citations
2,413 Views
30 Pages

6 July 2021

The existence of multiple solutions to an attitude determination problem impacts the design of estimation schemes, potentially increasing the errors by a significant value. It is therefore essential to identify such cases in any attitude problem. In...

(This article belongs to the Special Issue Attitude Estimation Based on Data Processing of Sensors)
  • Article
  • Open Access
11 Citations
3,768 Views
19 Pages

22 July 2020

The Global Navigation Satellite Systems (GNSS) becomes the primary choice for device localization in outdoor situations. At the same time, many applications do not require precise absolute Earth coordinates, but instead, inferring the geometric confi...

(This article belongs to the Collection Multi-GNSS Precise Positioning and Applications)
  • Article
  • Open Access
2 Citations
2,406 Views
22 Pages

Diagnosis of analog electronic circuits is a crucial issue in computer-aided design. During the diagnosis, solving a test equation to identify the values of faulty parameters is usually necessary. The equation is nonlinear to the parameters, even for...

(This article belongs to the Special Issue Section Collection Series: New Horizons and Recent Advances in Power Electronics)
  • Article
  • Open Access
7 Citations
6,410 Views
14 Pages

26 January 2021

Satellite chip shape distortions lead to signal tracking errors in pseudorange measurements, which are related to the receiver manufacturers, called receiver-related pseudorange biases. Such biases will lead to adverse effects for differential code b...

(This article belongs to the Special Issue Advances in GNSS Data Processing and Navigation)
  • Article
  • Open Access
765 Views
14 Pages

27 March 2026

In challenging environments, there often exist problems of false alarms and missed detections in real-time kinematic (RTK) ambiguity resolution, which significantly reduce the reliability and availability of position information. To address these iss...

(This article belongs to the Section Navigation and Positioning)
  • Article
  • Open Access
34 Citations
4,930 Views
17 Pages

17 January 2020

The determination of slant total electron content (STEC) between satellites and receivers is the first step for establishing an ionospheric model. However, the leveling errors, caused by the smoothed ambiguity solutions in the carrier-to-code levelin...

(This article belongs to the Special Issue Remote Sensing of Ionosphere Observation and Investigation)
  • Article
  • Open Access
38 Citations
6,727 Views
21 Pages

Real-Time Kinematic Precise Orbit Determination for LEO Satellites Using Zero-Differenced Ambiguity Resolution

  • Xingxing Li,
  • Jiaqi Wu,
  • Keke Zhang,
  • Xin Li and ,
  • Yun Xiong and
  • Qian Zhang
  • + 1 author+ 0 author

27 November 2019

The rapid growing number of earth observation missions and commercial low-earth-orbit (LEO) constellation plans have provided a strong motivation to get accurate LEO satellite position and velocity information in real time. This paper is devoted to i...

  • Article
  • Open Access
7 Citations
3,890 Views
13 Pages

27 December 2021

In the face of a complex observation environment, the solution of the reference station of the ambiguity of network real-time kinematic (RTK) will be affected. The joint solution of multiple systems makes the ambiguity dimension increase steeply, whi...

(This article belongs to the Section Sensor Networks)
  • Article
  • Open Access
52 Citations
7,290 Views
19 Pages

Assessing the Performance of Multi-GNSS PPP-RTK in the Local Area

  • Hongyang Ma,
  • Qile Zhao,
  • Sandra Verhagen,
  • Dimitrios Psychas and
  • Xianglin Liu

13 October 2020

The benefits of an increased number of global navigation satellite systems (GNSS) in space have been confirmed for the robustness and convergence time of standard precise point positioning (PPP) solutions, as well as improved accuracy when (most of)...

(This article belongs to the Special Issue Real-time GNSS Precise Positioning Service and its Augmentation Technology)
  • Article
  • Open Access
2,048 Views
15 Pages

8 January 2025

Correctly fixing the integer ambiguity of GNSS is the key to realizing the application of GNSS high-precision positioning. When solving the float solution of ambiguity based on the double-difference model epoch by epoch, the common method for resolvi...

(This article belongs to the Special Issue Advances in GNSS Signal Processing and Navigation)
  • Article
  • Open Access
18 Citations
5,491 Views
22 Pages

Real-Time Precise Orbit Determination for LEO between Kinematic and Reduced-Dynamic with Ambiguity Resolution

  • Zhiyu Wang,
  • Zishen Li,
  • Ningbo Wang,
  • Mainul Hoque and ,
  • Liang Wang,
  • Ran Li,
  • Yang Zhang and
  • Hong Yuan
  • + 3 authors+ 0 author

The real-time integer-ambiguity resolution of the carrier-phase observation is one of the most effective approaches to enhance the accuracy of real-time precise point positioning (PPP), kinematic precise orbit determination (KPOD), and reduced-dynami...

(This article belongs to the Section Astronautics & Space Science)
  • Article
  • Open Access
288 Views
22 Pages

21 September 2026

To address the issue of long ambiguity resolution (AR) time for existing medium-to-long baseline reference stations, this paper proposes a rapid ambiguity fixing method with empirical ionospheric constraints. The method directly treats the L1 and wid...

(This article belongs to the Topic Theory and Methods for High-Trust and High-Security PNT Information)
  • Article
  • Open Access
19 Citations
9,057 Views
18 Pages

Combined GPS/GLONASS Precise Point Positioning with Fixed GPS Ambiguities

  • Lin Pan,
  • Changsheng Cai,
  • Rock Santerre and
  • Jianjun Zhu

18 September 2014

Precise point positioning (PPP) technology is mostly implemented with an ambiguity-float solution. Its performance may be further improved by performing ambiguity-fixed resolution. Currently, the PPP integer ambiguity resolutions (IARs) are mainly ba...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
15 Citations
4,852 Views
21 Pages

GPS/BDS-2/Galileo Precise Point Positioning Ambiguity Resolution Based on the Uncombined Model

  • Jin Wang,
  • Guanwen Huang,
  • Qin Zhang,
  • Yang Gao and ,
  • Yuting Gao and
  • Yiran Luo
  • + 1 author+ 0 author

8 June 2020

In this study, an uncombined precise point positioning (PPP) model was established and was used for estimating fractional cycle bias (FCB) products and for achieving ambiguity resolution (AR), using GPS, BDS-2, and Galileo raw observations. The uncom...

(This article belongs to the Special Issue Real-time GNSS Precise Positioning Service and its Augmentation Technology)
  • Article
  • Open Access
2 Citations
3,625 Views
20 Pages

5 June 2020

Although precise point positioning (PPP) is a well-established and promising technique with the use of precise satellite orbit and clock products, it costs a long convergence time to reach a centimeter-level positioning accuracy. The PPP with ambigui...

(This article belongs to the Special Issue Recent Advances in GNSS-based High Precision Positioning Technology: Part I)
  • Article
  • Open Access
15 Citations
4,834 Views
21 Pages

Precision-Aided Partial Ambiguity Resolution Scheme for Instantaneous RTK Positioning

  • Juan Manuel Castro-Arvizu,
  • Daniel Medina,
  • Ralf Ziebold,
  • Jordi Vilà-Valls and ,
  • Eric Chaumette and
  • Pau Closas
  • + 1 author+ 0 author

23 July 2021

The use of carrier phase data is the main driver for high-precision Global Navigation Satellite Systems (GNSS) positioning solutions, such as Real-Time Kinematic (RTK). However, carrier phase observations are ambiguous by an unknown number of cycles,...

(This article belongs to the Special Issue GNSS for Urban Transport Applications)
  • Article
  • Open Access
2 Citations
3,844 Views
16 Pages

Pass-by-Pass Ambiguity Resolution in Single GPS Receiver PPP Using Observations for Two Sequential Days: An Exploratory Study

  • Ruijie Xi,
  • Qusen Chen,
  • Xiaolin Meng,
  • Panos Psimoulis and ,
  • Weiping Jiang and
  • Caijun Xu
  • + 1 author+ 0 author

17 September 2021

“Pass-by-pass” or “track-to-track” ambiguity resolution removes Global Navigation Satellite System (GNSS) satellite hardware delays between adjacent undifferenced (UD) ambiguities, which is often applied in precise orbit determination (POD) for Low E...

(This article belongs to the Special Issue Integrated Applications of Real-Time GNSS Precise Positioning Services)
  • Article
  • Open Access
2 Citations
3,286 Views
22 Pages

9 October 2020

This paper presents a PREcise and Fast Method of Ambiguity Reinitialization/Resolution (PREFMAR) for L1 and L2 in GPS measurements. The method determines NL1 and NL2 ambiguities based on the ambiguity functions: Ψ(NL1)NL1NL2 and Ψ(NL2)NL2NL1....

(This article belongs to the Special Issue GNSS Sensors in Aerial Navigation)
  • Article
  • Open Access
43 Citations
8,426 Views
25 Pages

9 March 2015

Global positioning system (GPS) technology is well suited for attitude determination. However, in land vehicle application, low-cost single frequency GPS receivers which have low measurement quality are often used, and external factors such as multip...

(This article belongs to the Special Issue Inertial Sensors and Systems)
  • Article
  • Open Access
17 Citations
4,017 Views
20 Pages

High-Accuracy Attitude Determination Using Single-Difference Observables Based on Multi-Antenna GNSS Receiver with a Common Clock

  • Chenglong Zhang,
  • Danan Dong,
  • Wen Chen,
  • Miaomiao Cai and ,
  • Yu Peng,
  • Chao Yu and
  • Jianping Wu
  • + 2 authors+ 0 author

5 October 2021

A global navigation satellite system (GNSS) receiver with multi-antenna using clock synchronization technology is a powerful piece of equipment for precise attitude determination and reducing costs. The single-difference (SD) can eliminate both the s...

(This article belongs to the Special Issue Upcoming Positioning, Navigation and Timing: GPS, GLONASS, Galileo and BeiDou)
  • Article
  • Open Access
10 Citations
3,682 Views
19 Pages

A Robust Algorithm for Multi-GNSS Precise Positioning and Performance Analysis in Urban Environments

  • Dashuai Chai,
  • Yipeng Ning,
  • Shengli Wang,
  • Wengang Sang and ,
  • Jianping Xing and
  • Jingxue Bi
  • + 1 author+ 0 author

15 October 2022

In this paper, we propose a partial ambiguity method of global navigation satellite system (GNSS) reliable positioning based on a robust estimation model to address the problems of the low reliability and availability of GNSS positioning in urban com...

(This article belongs to the Special Issue Integrated Applications of Real-Time GNSS Precise Positioning Services)
  • Article
  • Open Access
1 Citations
1,069 Views
15 Pages

2 April 2026

Carrier-phase ambiguity validation is essential to ensure the reliability of integer ambiguity resolution in high-precision GNSS positioning. Although integer equivariant (IE) estimators provide optimal integer candidates within their class, noise an...

(This article belongs to the Special Issue Sensors in 2026)
  • Article
  • Open Access
13 Citations
3,395 Views
19 Pages

Continuous Decimeter-Level Positioning in Urban Environments Using Multi-Frequency GPS/BDS/Galileo PPP/INS Tightly Coupled Integration

  • Xingxing Li,
  • Zhiheng Shen,
  • Xin Li,
  • Gege Liu and ,
  • Yuxuan Zhou,
  • Shengyu Li,
  • Hongbo Lyu and
  • Qian Zhang
  • + 3 authors+ 0 author

19 April 2023

Time- and precision-critical applications, such as autonomous driving, have extremely rigorous standards for continuous high-precision positioning. The importance of precise point positioning (PPP) technology for self-navigation equipment is self-evi...

  • Article
  • Open Access
7 Citations
4,131 Views
22 Pages

18 June 2020

Position estimation techniques for solenoid actuators are successfully used in a wide field of applications requiring monitoring functionality without the need for additional sensors. Most techniques, which also include standstill condition, are base...

(This article belongs to the Section Electronic Sensors)
  • Article
  • Open Access
4 Citations
3,184 Views
18 Pages

3 December 2024

With the advancement of multi-frequency and multi-constellation GNSS signals and the introduction of observable-specific bias (OSB) products, the uncombined precise point positioning (PPP) model has grown more prevalent. However, this model faces cha...

(This article belongs to the Special Issue Multi-GNSS Precise Point Positioning (MGPPP))
  • Article
  • Open Access
1 Citations
723 Views
22 Pages

18 February 2026

In Global Navigation Satellite Systems (GNSS), high-precision position coordinates are typically determined by establishing a double-difference carrier phase observation model and resolving the integer ambiguities within it. Therefore, the ability to...

  • Article
  • Open Access
11 Citations
3,809 Views
25 Pages

Mitigation of Short-Term Temporal Variations of Receiver Code Bias to Achieve Increased Success Rate of Ambiguity Resolution in PPP

  • Jin Wang,
  • Guanwen Huang,
  • Yuanxi Yang,
  • Qin Zhang and ,
  • Yang Gao and
  • Peiyuan Zhou
  • + 1 author+ 0 author

2 March 2020

Ambiguity resolution (AR) is critical for achieving a fast, high-precision solution in precise point positioning (PPP). In the standard uncombined PPP (S-UPPP) method, ionosphere-free code biases are superimposed by ambiguity and receiver clock offse...

  • Article
  • Open Access
16 Citations
4,113 Views
19 Pages

A Triple Checked Partial Ambiguity Resolution for GPS/BDS RTK Positioning

  • Liguo Lu,
  • Liye Ma,
  • Wanke Liu,
  • Tangting Wu and
  • Benfu Chen

18 November 2019

Reliable and accurate carrier phase ambiguity resolution is the key to high-precision Global Navigation Satellite System (GNSS) positioning and application. With the fast development of modern GNSS, the increased number of satellites and ambiguities...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
1 Citations
1,649 Views
26 Pages

Solving Integer Ambiguity Based on an Improved Ant Lion Algorithm

  • Wuzheng Guo,
  • Yuanfa Ji,
  • Xiyan Sun and
  • Xizi Jia

17 February 2025

In GNSS, a double-difference carrier phase observation model is typically employed, and high-accuracy position coordinates can be obtained by resolving the integer ambiguity within the model through algorithmic processing. To address the challenge of...

(This article belongs to the Special Issue Signal Processing for Satellite Navigation and Wireless Localization)
  • Article
  • Open Access
6 Citations
2,469 Views
20 Pages

23 November 2023

Carrier phase measurements currently play a crucial role in achieving rapid and highly accurate positioning of global navigation satellite systems (GNSS). Resolving the integer ambiguity correctly is one of the key steps in this process. To address t...

(This article belongs to the Section Navigation and Positioning)
  • Article
  • Open Access
12 Citations
6,611 Views
17 Pages

29 January 2022

The modernization of Global Navigation Satellite System (GNSS) including the transmission of signals on multiple frequencies has greatly promoted the development of the popular PPP (Precise Point Positioning) technique. A key issue of multi-frequency...

(This article belongs to the Special Issue GNSS Precise Point Positioning: Towards Global Instantaneous cm-Level Accuracy)
  • Article
  • Open Access
37 Citations
5,904 Views
21 Pages

5 August 2021

The single-receiver integer ambiguity resolution-enabled variant of precise point positioning (PPP), namely PPP-RTK, has proven to be crucial in reducing the long convergence time of PPP solutions through the recovery of the integerness of the user-a...

(This article belongs to the Special Issue GNSS Precise Point Positioning: Towards Global Instantaneous cm-Level Accuracy)
  • Article
  • Open Access
13 Citations
4,506 Views
27 Pages

23 July 2020

Single-frequency GPS/BeiDou navigation satellite system (BDS) real-time kinematic (RTK) and inertial navigation system (INS) integration has wide range of application prospects due to the global deployment of GPS along with the rapid development of B...

(This article belongs to the Special Issue Real-time GNSS Precise Positioning Service and its Augmentation Technology)
  • Article
  • Open Access
14 Citations
4,635 Views
19 Pages

An Improved Ambiguity Resolution Algorithm for Smartphone RTK Positioning

  • Yang Jiang,
  • Yuting Gao,
  • Wei Ding,
  • Fei Liu and
  • Yang Gao

2 June 2023

Ambiguity resolution based on smartphone GNSS measurements can enable various potential applications that currently remain difficult due to ambiguity biases, especially under kinematic conditions. This study proposes an improved ambiguity resolution...

(This article belongs to the Special Issue Precise Positioning with Smartphones)
  • Article
  • Open Access
6 Citations
3,459 Views
18 Pages

6 February 2020

The solution of carrier phase ambiguity is essential for precise global navigation satellite system (GNSS) positioning. Methods of searching in the coordinate domain show their advantage over the methods based on ambiguity fixing, for example, immune...

(This article belongs to the Special Issue Recent Advances in GNSS-based High Precision Positioning Technology: Part I)
  • Article
  • Open Access
1 Citations
1,441 Views
18 Pages

Cascaded Ambiguity Resolution for Pseudolite System-Augmented GNSS PPP

  • Caoming Fan,
  • Zheng Yao,
  • Jinling Wang and
  • Mingquan Lu

11 September 2025

Global navigation satellite System (GNSS) precise point positioning (PPP) enables high-precision global positioning using a single receiver, yet its widespread application is hindered by long convergence times. In contrast, pseudolite system (PLS) tr...

(This article belongs to the Special Issue Advancing Positioning, Navigation, and Timing (PNT) Service Using Satellite Navigation Technology)
  • Article
  • Open Access
9 Citations
3,672 Views
18 Pages

The Precise Point Positioning (PPP) with fast integer ambiguity resolution (PPP-RTK) is feasible only if the solution is augmented with precise ionospheric parameters. The vertical ionospheric delays together with the receiver hardware biases, are es...

(This article belongs to the Special Issue Advances in Localization and Navigation (GIS Ostrava 2021))
  • Article
  • Open Access
53 Citations
7,077 Views
16 Pages

10 January 2019

With the modernization of Global Navigation Satellite System (GNSS), triple- or multi-frequency signals have become available from more and more GNSS satellites. The additional signals are expected to enhance the performance of precise point position...

(This article belongs to the Special Issue High-precision GNSS: Methods, Open Problems and Geoscience Applications)
  • Article
  • Open Access
2 Citations
3,006 Views
19 Pages

27 May 2023

In the classic Precise Point Positioning (PPP) approach, observations of Global Navigation Satellite Systems (GNSS) are processed at the network level to generate satellite clocks and positions. This information can be used to enable accurate point p...

(This article belongs to the Section Engineering Remote Sensing)
  • Article
  • Open Access
10 Citations
6,633 Views
15 Pages

Improving the Performance of Multi-GNSS (Global Navigation Satellite System) Ambiguity Fixing for Airborne Kinematic Positioning over Antarctica

  • Min Li,
  • Tianhe Xu,
  • Frank Flechtner,
  • Christoph Förste and ,
  • Biao Lu and
  • Kaifei He
  • + 1 author+ 0 author

25 April 2019

Conventional relative kinematic positioning is difficult to be applied in the polar region of Earth since there is a very sparse distribution of reference stations, while precise point positioning (PPP), using data of a stand-alone receiver, is recog...

(This article belongs to the Special Issue Global Navigation Satellite Systems for Earth Observing System)
  • Article
  • Open Access
2 Citations
3,184 Views
20 Pages

18 April 2025

Precise point positioning ambiguity resolution (PPP-AR) is a key technique for high-precision global navigation satellite system (GNSS) observations, with phase bias products playing a critical role in its implementation. The multi-GNSS experiment an...

(This article belongs to the Section Earth Observation Data)
  • Article
  • Open Access
14 Citations
3,837 Views
19 Pages

6 June 2023

The fast motion of low Earth orbit (LEO) satellites provides rapid geometric changes in a short time, which can accelerate the initialization of precise point positioning (PPP). The rapid convergence of ambiguity parameters is conducive to the rapid...

(This article belongs to the Topic Recent Advances in PNT Technology with GNSS as the Core and Its Application in Emerging Fields)
  • Article
  • Open Access
1 Citations
1,823 Views
12 Pages

22 December 2023

This study considers the optimal debt ratio and dividend payment policies for an insurer concerned about model misspecification. We assume that the insurer can invest all of its asset to the financial market and the ambiguity may exist in the risky a...

(This article belongs to the Special Issue Modeling, Analysis and Optimization for Mathematical Finance, Economics and Risks)
  • Article
  • Open Access
6 Citations
2,846 Views
16 Pages

Single-Epoch Ambiguity Resolution of a Large-Scale CORS Network with Multi-Frequency and Multi-Constellation GNSS

  • Shengyue Ji,
  • Guofeng Liu,
  • Duojie Weng,
  • Zhenjie Wang and ,
  • Kaifei He and
  • Wu Chen
  • + 1 author+ 0 author

8 August 2022

Ambiguity resolution at Continuously Operating Reference Station (CORS) network sites is the key step in the whole processing chain of Network Real Time Kinematic (NRTK). An appropriate ambiguity-resolution speed is important, and single-epoch ambigu...

(This article belongs to the Special Issue Remote Sensing in Navigation: State-of-the-Art)
  • Article
  • Open Access
2 Citations
2,679 Views
14 Pages

17 January 2023

Satellite positioning is one of the main navigation technologies in unmanned aerial vehicles (UAVs), the accuracy of which has an important impact on the safety, stability, and flexibility of UAVs. The parameters of integer ambiguity are important fa...

(This article belongs to the Special Issue New Technology for Autonomous UAV Monitoring)
  • Article
  • Open Access
3 Citations
6,438 Views
11 Pages

Improving GLONASS Precise Orbit Determination through Data Connection

  • Yang Liu,
  • Maorong Ge,
  • Chuang Shi,
  • Yidong Lou and ,
  • Jens Wickert and
  • Harald Schuh
  • + 1 author+ 0 author

2 December 2015

In order to improve the precision of GLONASS orbits, this paper presents a method to connect the data segments of a single station-satellite pair to increase the observation continuity and, consequently, the strength of the precise orbit determinatio...

(This article belongs to the Section Physical Sensors)
  • Article
  • Open Access
5 Citations
3,769 Views
19 Pages

A Comparative Study of BDS Triple-Frequency Ambiguity Fixing Approaches for RTK Positioning

  • Huizhong Zhu,
  • Yangyang Lu,
  • Longjiang Tang,
  • Jun Li and ,
  • Aigong Xu and
  • Maorong Ge
  • + 1 author+ 0 author

6 April 2021

Concerning the triple-frequency ambiguity resolution, in principle there are three different realizations. The first one is to fix all the ambiguities of the original frequencies together. However, it is also believed that fixing the combined integer...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
20 Citations
4,836 Views
23 Pages

6 April 2020

Integrity monitoring is an essential task for ensuring the safety of positioning services. Under a selected probability of hazardous misleading information, the protection levels (PLs) are computed according to a considered threat model to bound the...

  • Review
  • Open Access
31 Citations
6,881 Views
10 Pages

A Survey on Depth Ambiguity of 3D Human Pose Estimation

  • Siqi Zhang,
  • Chaofang Wang,
  • Wenlong Dong and
  • Bin Fan

20 October 2022

Depth ambiguity is one of the main challenges of three-dimensional (3D) human pose estimation (HPE). The recent strategies of disambiguating have brought significant progress and remarkable breakthroughs in the field of 3D human pose estimation (3D H...

(This article belongs to the Special Issue Digital Image Processing and Analysis: Human and Computer Vision Applications)

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