Abstract

This paper presents a novel Kalman filter (KF)-based receiver autonomous integrity monitoring (RAIM) algorithm for reliable aircraft positioning with global navigation satellite systems (GNSS). The presented method overcomes major limitations of the authors’ previous work, and uses two GNSS, namely, Navigation with Indian Constellation (NavIC) of India and the Global Positioning System (GPS). The algorithm is developed in the range domain and compared with two existing approaches—one each for the weighted least squares navigation filter and KF. Extensive simulations were carried out for an unmanned aircraft flight path over the Indian sub-continent for validation of the new approach. Although both existing methods outperform the new one, the work is significant for the following reasons. KF is an integral part of advanced navigation systems that can address frequent loss of GNSS signals (e.g., vector tracking and multi-sensor integration). Developing KF RAIM algorithms is essential to ensuring their reliability. KF solution separation (or position domain) RAIM offers good performance at the cost of high computational load. Presented range domain KF RAIM, on the other hand, offers satisfactory performance to a certain extent, eliminating a major issue of growing position error bounds over time. It requires moderate computational resources, and hence, shows promise for real-time implementations in avionics. Simulation results also indicate that addition of NavIC alongside GPS can substantially improve RAIM performance, particularly in poor geometries.

Highlights

  • In recent years, global navigation satellite systems (GNSS) have evolved into important infrastructure of modern society, with day-to-day activities increasingly relying on their positioning, navigation and timing services [1,2]

  • Simulation results indicate that addition of Navigation with Indian Constellation (NavIC) alongside Global Positioning System (GPS) can substantially improve receiver autonomous integrity monitoring (RAIM) performance, in poor geometries

  • Position domain Kalman filter (KF) RAIM implemented in this paper adapts solution separation approach to extended KF (EKF)

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Summary

Introduction

Global navigation satellite systems (GNSS) have evolved into important infrastructure of modern society, with day-to-day activities increasingly relying on their positioning, navigation and timing services [1,2]. An integrity monitor is designed to issue alarms to pilots within a prescribed time, when reliable GNSS performance cannot be ensured To this end, it carries out continuous fault detection tests and raises an alarm in case a fault is detected. While integrity monitoring with WLS is extensively studied and well-developed [18,19,20,21,22,23,24,25], relatively few studies are available on its KF counterpart [26,27,28,29,30,31,32,33,34,35,36,37,38] To this end, a novel KF-based integrity algorithm is designed in this paper for reliable absolute positioning with GNSS pseudorange (carrier smoothed) and pseudorange rate measurements. The paper ends with conclusions and future extensions of the current work

Prior Work and Contributions
Overview of Existing KF RAIM Algorithms
Solution Separation KF RAIM
Existing Range-Based KF RAIM
Schmidt KF
Fault Detection Method
Formulation of Ψ for First Test Statistic
Formulation of Θ for First Test Statistic
Formulation of Θ for Second Test Statistic
Test Statistics and Thresholds
Mean Position Error Bounds under Faults
Simulation Studies
Findings
Conclusions
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