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Multiple IMU sensor fusion using resolution refinement method to reduce quantization error

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Abstract

We propose a sensor fusion method of multiple inertial measurement units (IMU) with different resolutions to reduce quantization errors and improve the measurement accuracy of dead reckoning navigation. The resolution and dynamic range of the accelerometer within MEMS IMU have a trade-off relationship; the selection of a fixed dynamic range in a single IMU may increase the error of the inertial navigation system. We integrate multiple accelerometer signals with different resolutions into a weighted average that depends on the measurements. This reduces the quantization error by creating an optimal resolution tailored to the specific measurement range. To verify the proposed algorithm, we examined the effect of mathematically generated accelerometer values.

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Abbreviations

RRM :

Resolution refinement method

IMU :

Inertial measurement unit

MEMS :

Micro-electro-mechanical systems

H(s) :

Sigmoid function

d avg :

Average of the distances between the exact trajectory and estimated trajectory

References

  1. A. Noureldin, T. B. Karamat and J. Georgy, Fundamentals of Inertial Navigation, Satellite-based Positioning and their Integration, Springer, Berlin, Heidelberg (2013) 6–18.

    Book  Google Scholar 

  2. D. Titterton and J. Weston, Strapdown inertial navigation technology — 2nd edition — [Book review], IEEE Aerospace and Electronic Systems Magazine, 20(7) (2005) 33–34.

    Article  Google Scholar 

  3. F. Yu, C. Lv and Q. Dong, A novel robust H∞ filter based on krein space theory in the SINS/CNS attitude reference system, Sensors, 16(3) (2016) E396.

    Article  Google Scholar 

  4. W. Wang, X. Lv and F. Sun, Design of a novel MEMS gyroscope array, Sensors, 13(2) (2013) 1651–1663.

    Article  Google Scholar 

  5. L. Blocher et al., Purely inertial navigation with a low-cost MEMS sensor array, 2021 IEEE Int. Symp. Inert. Sens. Syst. Inert., IEEE, Kailua-Kona, HI, USA (2021) 1–4.

    Google Scholar 

  6. J. B. Bancroft and G. Lachapelle, Data fusion algorithms for multiple inertial measurement units, Sensors, 11(7) (2011) 6771–6798.

    Article  Google Scholar 

  7. D. Bayard and S. Ploen, High Accuracy Inertial Sensors from Inexpensive Components, U.S. Patent 0187623A1 (2003).

  8. L. Xue et al., Analysis of dynamic performance of a kalman filter for combining multiple mems gyroscopes, Micromachines, 5(4) (2014) 1034–1050.

    Article  Google Scholar 

  9. M. Jafari, Optimal redundant sensor configuration for accuracy increasing in space inertial navigation system, Aerosp. Sci. Technol., 47 (2015) 467–472.

    Article  Google Scholar 

  10. O. A. Sushchenko, Y. M. Bezkorovainyi and N. D. Novytska, Dynamic analysis of nonorthogonal redundant inertial measuring units based on MEMS-sensors, 2018 IEEE 38th Int. Conf. Electron. Nanotechnol., Kiev (2018) 464–469.

  11. L. Xue et al., Design of optimal estimation algorithm for multisensor fusion of a redundant MEMS gyro system, IEEE Sens. J. (2022).

  12. D. Hyun et al., Dead-reckoning sensor system and tracking algorithm for 3-D pipeline mapping, Mechatronics, 20(2) (2010) 213–223.

    Article  Google Scholar 

  13. D. Unsal and K. Demirbas, Estimation of deterministic and stochastic IMU error parameters, Proc. 2012 IEEEION Position Locat. Navig. Symp., Myrtle Beach, SC, USA (2012) 862–868.

  14. P. G. Savage, Analytical modeling of sensor quantization in strapdown inertial navigation error equations, J. Guid. Control Dyn., 25(5) (2002) 833–842.

    Article  Google Scholar 

  15. S. Han and J. Wang, Quantization and colored noises error modeling for inertial sensors for GPS/INS integration, IEEE Sens. J., 11(6) (2011) 1493–1503.

    Article  Google Scholar 

  16. M. J. Berger and J. Oliger, Adaptive mesh refinement for hyperbolic partial differential equations, J. Comput. Phys., 53(3) (1984) 484–512.

    Article  MathSciNet  MATH  Google Scholar 

  17. D. M. Boore, Analog-to-digital conversion as a source of drifts in displacements derived from digital recordings of ground acceleration, Bull. Seismol. Soc. Am., 93(5) (2003) 2017–2024.

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the Korea Agency for Infrastructure Technology Advancement (KAIA) grant funded by the Ministry of Land, Infrastructure and Transport (Grant 21AMDP-C162388-01).

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Correspondence to Heung-Shik Lee.

Additional information

Sung Sic Yoo is currently A Research Professor in the Department of Automotive Systems Engineering at Joongbu University, and is interested in sensor fusion, smart mobility technology, numerical analysis.

Humayun Kabir is currently an integrated Ph.D. student majoring in Future Vehicle Engineering at the Department of Electrical and Computer Engineering, Inha University, South Korea. His research interests include machine learning, deep learning, sensor fusion and robotics.

Heung-Shik Lee is currently an Assistant Professor of Automotive Systems Engineering at Joongbu University, and is interested in sensor control, smart mobility technology, and intelligent structures using nanomaterial structures.

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Yoo, S.S., Kabir, H. & Lee, HS. Multiple IMU sensor fusion using resolution refinement method to reduce quantization error. J Mech Sci Technol 37, 163–168 (2023). https://doi.org/10.1007/s12206-022-1216-1

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  • DOI: https://doi.org/10.1007/s12206-022-1216-1

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