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FE-GUT: Factor Graph Optimization hybrid with Extended Kalman Filter for tightly coupled GNSS/UWB Integration (2407.06915v1)

Published 9 Jul 2024 in cs.RO

Abstract: Precise positioning and navigation information has been increasingly important with the development of the consumer electronics market. Due to some deficits of Global Navigation Satellite System (GNSS), such as susceptible to interferences, integrating of GNSS with additional alternative sensors is a promising approach to overcome the performance limitations of GNSS-based localization systems. Ultra-Wideband (UWB) can be used to enhance GNSS in constructing an integrated localization system. However, most low-cost UWB devices lack a hardware-level time synchronization feature, which necessitates the estimation and compensation of the time-offset in the tightly coupled GNSS/UWB integration. Given the flexibility of probabilistic graphical models, the time-offset can be modeled as an invariant constant in the discretization of the continuous model. This work proposes a novel architecture in which Factor Graph Optimization (FGO) is hybrid with Extend Kalman Filter (EKF) for tightly coupled GNSS/UWB integration with online Temporal calibration (FE-GUT). FGO is utilized to precisely estimate the time-offset, while EKF provides initailization for the new factors and performs time-offset compensation. Simulation-based experiments validate the integrated localization performance of FE-GUT. In a four-wheeled robot scenario, the results demonstrate that, compared to EKF, FE-GUT can improve horizontal and vertical localization accuracy by 58.59\% and 34.80\%, respectively, while the time-offset estimation accuracy is improved by 76.80\%. All the source codes and datasets can be gotten via https://github.com/zhaoqj23/FE-GUT/.

Summary

  • The paper introduces FE-GUT, a hybrid framework combining factor graph optimization with the extended Kalman filter to significantly improve positioning and time-offset estimation.
  • It demonstrates enhancements of 58.59% in horizontal and 34.80% in vertical positioning accuracy, along with a 76.80% improvement in time-offset precision over traditional EKF.
  • The integration approach offers a promising pathway for advanced multi-sensor fusion in both consumer electronics and research-grade navigation systems.

FE-GUT: An Enhanced GNSS/UWB Integration Methodology

The paper presents a novel architectural framework for tightly coupled Global Navigation Satellite System (GNSS) and Ultra-Wideband (UWB) integration, termed as FE-GUT. This new approach amalgamates Factor Graph Optimization (FGO) with the Extended Kalman Filter (EKF) to address and rectify the challenges posed by time-offsets in GNSS/UWB systems. The authors effectively leverage probabilistic graphical models to compensate for the inherent limitations of low-cost UWB devices, specifically their lack of a hardware-level time synchronization feature.

The paper details how the FE-GUT methodology manages to advance the state-of-the-art by significantly improving the accuracy of both positioning and time-offset estimation. It demonstrates that FGO, which effectively handles larger scale data via graphical models, can provide a more precise and robust estimation of time-offsets when applied to the problem of sensor fusion in navigation systems. The integration of FGO allows the formulation of a Graphical State Space Model (GSSM) that treats the time offset as a constant within a sliding window, thereby optimizing the data processing without compromising accuracy on a large scale.

Key Findings

The results presented in the paper are derived from simulation-based experiments conducted on a four-wheeled robot scenario. Notably, the FE-GUT architecture displayed an improvement in horizontal and vertical localization accuracies by 58.59% and 34.80%, respectively, over the existing EKF methodology. Furthermore, the precision of time-offset estimation saw an enhancement of 76.80%. These results indicate that the hybrid method can correct time synchronization issues in GNSS/UWB integrations more accurately than traditional methods.

Theoretical and Practical Implications

The findings have significant implications for both theory and practice in the field of integrated navigation systems. Theoretically, the paper expands on the application of GSSM in time-offset calibration for GNSS/UWB integrations. It introduces the potential of using FGO to improve constant variable estimation in state models, which has critical implications for developing more complex and accurate multi-sensor integration systems. Practically, this approach could lead to the development of consumer electronics and positioning systems with enhanced precision, broadening the capability of GNSS/UWB systems in real-world applications.

Future Prospects

The FE-GUT framework lays the groundwork for future developments in AI-driven sensor fusion and navigation systems. Future research might focus on validating the efficacy of this architecture through real-world experiments and exploring its applicability to other integration scenarios beyond GNSS/UWB. Additionally, the authors suggest further exploration into the theoretical underpinnings behind the improved estimation accuracy linked to GSSM and FGO integration.

In conclusion, this work pushes the boundaries of GNSS/UWB integration by providing a hybrid model that utilizes the strengths of both EKF and FGO. Its significant improvements over existing models suggest potential for wide adoption in precise positioning systems where accurate time synchronization is critical.

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