Kinematic GPS for Differential Positioning: Resolving Integer Ambiguities on the Fly

Hwang, Patrick Y. C.

doi:10.1002/j.2161-4296.1991.tb01711.x

Cited by 31 publications

(14 citation statements)

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“…One approach is to augment one additional integer ambiguity 'state' per satellite to the error model and to let the Kalman filter estimate its value [8]. This approach has three disadvantages: (1) The integer nature of the integer ambiguity is lost, since the Kalman filter estimates the additional state as a real variable; (2) The fact that the integer ambiguity is a constant is also lost, unless the range multipath is also modeled as an augmented state.…”

Section: Methodsmentioning

confidence: 99%

Differential carrier phase GPS-aided INS for automotive applications

Farrell

Givargis²,

Barth³

1999

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)

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This article describes experimental results for a real-time, carrier phase, differential Global Positioning System (GPS) aided Inertial Navigation System (INS). The implementation is the result of a study to analyze the capabilities of such a system relative to the requirements of Advanced Vehicle Control and Safety Systems (AVCSS) for intelligent transportation systems. Such navigation systems have many application possibilities (e.g., aviation and precision flight, automated mining, precision farming, dredging). The implementation achieves 100 Hz vehicle state estimates with position accuracy at the centimeter level. 0-7803-4990-6/99 $10.00 0 1999 AACC

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Section: Methodsmentioning

confidence: 99%

Differential carrier phase GPS-aided INS for automotive applications

Farrell

Givargis²,

Barth³

1999

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)

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“…Nominal simulation parameters are defined in [2], and include:  a five degree satellite elevation mask  ARAIM CSC measurement error model parameters in equations (1) to (10), and (21)  navigation requirements: Fig. 8 (TB = 600s, TRB = 300s).…”

Section: Availability Mapsmentioning

confidence: 99%

Exploiting Satellite Motion in ARAIM: Measurement Error Model Refinement Using Experimental Data

Joerger¹,

Pervan

2016

Proceedings of the 29th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GNSS+ 201

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In this work, a new time-sequential positioning and fault detection method is derived and analyzed for dualfrequency, multi-constellation Advanced Receiver Autonomous Integrity Monitoring (ARAIM). Unlike conventional 'snapshot' ARAIM, the sequential approach exploits changes in satellite geometry at the cost of slightly higher computation and memory loads. From the perspective of users on earth, the motion of any given GNSS satellite is small over short time intervals. But, the accumulated effect geometry variations of redundant satellites from multiple GNSS constellations can be substantial. This paper quantifies the potential performance benefit brought by satellite motion to ARAIM. It specifically addresses the following research challenges: (a) defining and experimentally validating raw GNSS code and carrier error models over time, consistent with established ARAIM assumptions, (b) designing estimators and fault-detectors capable of exploiting satellite motion for positioning, carrier phase cycle ambiguity estimation, and integrity evaluation, and (c) formulating these processes in a computationally-efficient implementation. A modular algorithm is designed, only requiring a minor augmentation of the snapshot airborne ARAIM multiple hypothesis solution separation (MHSS) algorithm. Other modifications to enable time-sequential ARAIM include additional ground segment performance commitments, and the inclusion of extra parameters in the broadcast integrity support message (ISM). Availability is analyzed worldwide for aircraft precision approach navigation applications. Results show substantial performance improvements for sequential ARAIM over snapshot ARAIM, not only to achieve 'localizer precision vertical' (LPV) requirements using depleted GPS and Galileo constellations, but also to fulfill much more stringent requirements including a ten-meter vertical alert limit.

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“…The estimation algorithm performance is further analyzed to understand the impact of satellite geometries on carrier phase positioning. Cycle ambiguity estimation for mobile users requires SV redundancy as well as variations in user-to-satellite lines of sight, both of which are provided by augmenting GPS with Iridium [44]. In general, position and cycle ambiguity estimates improve as the change in LOS angle increases [5,17].…”

Section: Ff Availability Analysismentioning

confidence: 99%

Analysis of Iridium-Augmented GPS for Floating Carrier Phase Positioning

et al. 2010

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Carrier‐phase ranging measurements from Global Positioning System (GPS) and low‐Earth‐orbiting Iridium telecommunication satellites are integrated in a precision navigation system named iGPS. The basic goal of the system is to enhance GPS positioning and timing performance, especially under jamming. In addition, large satellite geometry variations generated by fast‐moving Iridium spacecraft enable rapid estimation of floating cycle ambiguities. Augmentation of GPS with Iridium satellites also guarantees signal redundancy, which enables Receiver Autonomous Integrity Monitoring (RAIM). In this work, parametric models are developed for iGPS measurement error sources and for wide‐area corrections from an assumed network of ground reference stations. A fixed‐interval positioning and cycle ambiguity estimation algorithm is derived and a residual‐based carrier‐phase RAIM detection method is investigated for integrity against single‐satellite step and ramp‐type faults of all magnitudes and start‐times. Predicted overall performance is quantified for various ground, space, and user segment configurations.

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Kinematic GPS for Differential Positioning: Resolving Integer Ambiguities on the Fly

Cited by 31 publications

References 0 publications

Differential carrier phase GPS-aided INS for automotive applications

Differential carrier phase GPS-aided INS for automotive applications

Exploiting Satellite Motion in ARAIM: Measurement Error Model Refinement Using Experimental Data

Analysis of Iridium-Augmented GPS for Floating Carrier Phase Positioning

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