Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
184 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

MAINS: A Magnetic Field Aided Inertial Navigation System for Indoor Positioning (2312.02599v3)

Published 5 Dec 2023 in cs.RO and eess.SP

Abstract: A Magnetic field Aided Inertial Navigation System (MAINS) for indoor navigation is proposed in this paper. MAINS leverages an array of magnetometers to measure spatial variations in the magnetic field, which are then used to estimate the displacement and orientation changes of the system, thereby aiding the inertial navigation system (INS). Experiments show that MAINS significantly outperforms the stand-alone INS, demonstrating a remarkable two orders of magnitude reduction in position error. Furthermore, when compared to the state-of-the-art magnetic-field-aided navigation approach, the proposed method exhibits slightly improved horizontal position accuracy. On the other hand, it has noticeably larger vertical error on datasets with large magnetic field variations. However, one of the main advantages of MAINS compared to the state-of-the-art is that it enables flexible sensor configurations. The experimental results show that the position error after 2 minutes of navigation in most cases is less than 3 meters when using an array of 30 magnetometers. Thus, the proposed navigation solution has the potential to solve one of the key challenges faced with current magnetic-field simultaneous localization and mapping (SLAM) solutions: the very limited allowable length of the exploration phase during which unvisited areas are mapped.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (24)
  1. C.-I. Chesneau, “Magneto-inertial dead-reckoning in inhomogeneous field and indoor applications,” Ph.D. dissertation, Université Grenoble Alpes, 2018.
  2. I. Skog, G. Hendeby, and F. Trulsson, “Magnetic-field based odometry – an optical flow inspired approach,” in Int. Conf. on Indoor Positioning and Indoor Navigation (IPIN), Lloret de Mar, Spain, Nov. 2021, pp. 1–8.
  3. M. Kok and A. Solin, “Scalable magnetic field SLAM in 3D using gaussian process maps,” in Proc. 2018 21st Int. Conf. on Information Fusion (FUSION), Cambridge, United Kingdom, July 2018, pp. 1353–1360.
  4. F. Viset, R. Helmons, and M. Kok, “An extended Kalman filter for magnetic field slam using gaussian process regression,” Sensors, vol. 22, no. 8, 2022.
  5. F. Viset, J. T. Gravdahl, and M. Kok, “Magnetic field norm SLAM using Gaussian process regression in foot-mounted sensors,” in European Control Conference (ECC), Rotterdam, Netherlands, June 2021, pp. 392–398.
  6. J.-O. Nilsson and I. Skog, “Inertial sensor arrays — a literature review,” in Proc. 2016 European Navigation Conference (ENC), Helsinki, Finland, May 2016, pp. 1–10.
  7. D. Vissiere, A. Martin, and N. Petit, “Using distributed magnetometers to increase imu-based velocity estimation into perturbed area,” in Proc. 2007 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, Dec. 2007, pp. 4924–4931.
  8. L.-F. Shi, B.-L. Feng, Y.-F. Dai, G.-X. Liu, and Y. Shi, “Pedestrian indoor localization method based on integrated particle filter,” IEEE Transactions on Instrumentation and Measurement, vol. 72, pp. 1–10, 2023.
  9. H. Liu, H. Xue, L. Zhao, D. Chen, Z. Peng, and G. Zhang, “Magloc-ar: Magnetic-based localization for visual-free augmented reality in large-scale indoor environments,” IEEE Transactions on Visualization and Computer Graphics, vol. 29, no. 11, pp. 4383–4393, 2023.
  10. V. Pasku, A. De Angelis, G. De Angelis, D. D. Arumugam, M. Dionigi, P. Carbone, A. Moschitta, and D. S. Ricketts, “Magnetic field-based positioning systems,” IEEE Communications Surveys Tutorials, vol. 19, no. 3, pp. 2003–2017, 2017.
  11. P. Robertson, M. Frassl, M. Angermann, M. Doniec, B. J. Julian, M. Garcia Puyol, M. Khider, M. Lichtenstern, and L. Bruno, “Simultaneous localization and mapping for pedestrians using distortions of the local magnetic field intensity in large indoor environments,” in International Conference on Indoor Positioning and Indoor Navigation, Montbeliard, France, 2013, pp. 1–10.
  12. N. Pavlasek, C. Champagne Cossette, D. Roy-Guay, and J. R. Forbes, “Magnetic Navigation using Attitude-Invariant Magnetic Field Information for Loop Closure Detection,” arXiv e-prints, p. arXiv:2309.02394, Sep. 2023.
  13. E. Dorveaux, T. Boudot, M. Hillion, and N. Petit, “Combining inertial measurements and distributed magnetometry for motion estimation,” in Proc. 2011 American Control Conference, San Francisco, CA, USA, June 2011, pp. 4249–4256.
  14. E. Dorveaux and N. Petit, “Presentation of a magneto-inertial positioning system: navigating through magnetic disturbances,” in Int. Conf. on Indoor Positioning and Indoor Navigation (IPIN), Guimaraes, Portugal, Sep. 2011.
  15. C.-I. Chesneau, M. Hillion, and C. Prieur, “Motion estimation of a rigid body with an EKF using magneto-inertial measurements,” in Int. Conf. on Indoor Positioning and Indoor Navigation (IPIN), Alcalá de Henares, Spain, Oct. 2016, pp. 1–6.
  16. C.-I. Chesneau, M. Hillion, J.-F. Hullo, G. Thibault, and C. Prieur, “Improving magneto-inertial attitude and position estimation by means of a magnetic heading observer,” in Proc. 2017 Int. Conf. on Indoor Positioning and Indoor Navigation (IPIN), Sapporo, Japan, Sep. 2017, pp. 1–8.
  17. M. Zmitri, H. Fourati, and C. Prieur, “Improving inertial velocity estimation through magnetic field gradient-based extended Kalman filter,” in Int. Conf. on Indoor Positioning and Indoor Navigation (IPIN), Pisa, Italy, Sep. 2019, pp. 1–7.
  18. ——, “Magnetic Field Gradient-Based EKF for Velocity Estimation in Indoor Navigation,” Sensors, vol. 20, no. 20, p. 5726, 2020.
  19. ——, “Inertial velocity estimation for indoor navigation through magnetic gradient-based EKF and LSTM learning model,” in Proc. 2020 IEEE/RSJ Int. Conf. on Intelligent Robots and Systems (IROS), Las Vegas, NV, USA, Oct. 2020, pp. 4545–4550.
  20. ——, “BiLSTM network-based extended kalman filter for magnetic field gradient aided indoor navigation,” IEEE Sensors Journal, vol. 22, no. 6, pp. 4781–4789, 2022.
  21. T. Zhang, L. Wei, J. Kuang, H. Tang, and X. Niu, “Mag-odo: Motion speed estimation for indoor robots based on dual magnetometers,” Measurement, vol. 222, p. 113688, 2023.
  22. I. Skog, G. Hendeby, and F. Gustafsson, “Magnetic odometry - a model-based approach using a sensor array,” in Int. Conf. on Information Fusion (FUSION), Cambridge, United Kingdom, July 2018, pp. 794–798.
  23. C. Huang, G. Hendeby, and I. Skog, “A tightly-integrated magnetic-field aided inertial navigation system,” in Proc. 2022 25th Int. Conf. on Information Fusion (FUSION), Linköping, Sweden, July 2022, pp. 1–8.
  24. J. Solà, “Quaternion kinematics for the error-state Kalman filter,” CoRR, vol. abs/1711.02508, 2017. [Online]. Available: http://arxiv.org/abs/1711.02508
Citations (2)

Summary

  • The paper proposes MAINS as a magnetic field aided inertial navigation system that reduces position error by two orders of magnitude compared to pure INS.
  • It employs magnetometers to capture spatial variations in Earth’s magnetic field and integrates this data with inertial measurements for enhanced accuracy.
  • Experimental validation shows that MAINS achieves sub-three meter error after two minutes of GPS-denied navigation.

Understanding MAINS: The Magnetic Field Aided Inertial Navigation System

The Problem with Indoor Positioning

Indoor positioning is a crucial aspect of modern navigation systems, especially as we become more reliant on technology to guide us through complex buildings like airports, malls, and warehouses. However, conventional GPS-based methods, which work seamlessly outdoors, are ineffective indoors due to the lack of satellite signals. This paper discusses an innovative approach to overcome this limitation by utilizing magnetic fields within buildings.

The MAINS Solution

The proposed solution, termed MAINS, stands for Magnetic field Aided Inertial Navigation System. MAINS uses a collection of magnetometers, which are instruments that measure magnetic fields, to track spatial variations in the Earth's magnetic field. This information, when combined with an inertial navigation system (INS), substantially enhances the estimation of displacement and orientation changes of a moving object.

MAINS has been tested and has achieved a remarkable two orders of magnitude reduction in position error compared to a pure INS. Moreover, MAINS slightly improves horizontal position accuracy over the state-of-the-art methods.

Advantages and Experimental Validation

One of the highlights of MAINS is its flexible sensor configuration. This adaptability was demonstrated in experiments showing that in most scenarios, after two minutes of navigation without GPS aid, the position error remained under three meters, which is significant considering the technology it is compared against. These experiments also addressed a key challenge in magnetic field simultaneous localization and mapping (SLAM), which is the mapping phase when exploring unvisited areas. MAINS extends this exploration phase far beyond current limitations when using low-cost inertial sensors.

The paper doesn't neglect the imperfections inherent in magnetic field modeling. It proposes a methodology to update the magnetic field model's coefficients dynamically based on the movement and orientation changes of the sensor platform, considering the associated errors and disturbances.

Performance Assessment and Future Directions

The performance of MAINS was assessed using real-world data. The algorithm was benchmarked against the latest methods and showcased superior precision in estimating positions indoors. Furthermore, the data and code used in the experiments have been made publicly available, which can help further research in the area of magnetic-field-based positioning.

As future work, the paper suggests exploring loop closure detection mechanisms for magnetic field SLAM and unifying sensor calibration within the MAINS framework. Additionally, there is a scope of understanding the impact of magnetic field models on positioning errors more precisely.

MAINS stands out as an innovative method that leverages the Earth’s magnetic field to enhance indoor navigation systems, showcasing a solution that is not only promising in terms of accuracy but also adaptable in its application. As the technology matures, we may soon see MAINS integrated into a myriad of indoor positioning systems, guiding us with unprecedented reliability.