Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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Development of the Calibration Algorithm of 3 Axis Vector Sensor Using Ellipsoid

타원체를 이용한 3축 센서의 실시간 보정 알고리듬 개발

  • Hwang, Jung Moon (Department of Mechanic System Design Engineering, Seoul National University of Science and Technology) ;
  • Kim, Jung Han (Department of Mechanic System Design Engineering, Seoul National University of Science and Technology)
  • 황정문 (서울과학기술대학교 기계시스템디자인공학과) ;
  • 김정한 (서울과학기술대학교 기계시스템디자인공학과)
  • Received : 2015.02.13
  • Accepted : 2015.05.20
  • Published : 2015.07.01
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Abstract

Multi-axis magnetic and accelerometer sensor are widely used in consumer product such as smart phones. The vector output of multi-axis sensors have errors on each axis such as offset error, scale error, non-orthogonality. These errors cause many problems on the performance of the applications. In this paper, we designed the effective inline compensation algorithm for calibrating of 3 axis sensors using ellipsoid for mass production of multi-axis sensors. The outputs with those kinds of errors can be modeled by ellipsoid, and the proposed algorithm makes sequential mappings of the virtual ellipsoid to perfect sphere which is calibrated function of the sensor on three-dimensional space. The proposed calibrating process composed of four main stages and is very straightforward and effective. In addition, another imperfection of the sensor such as the drift from temperature can be easily inserted in each mapping stage. Numerical simulation and experimental results shows great performance of the proposed compensation algorithm.

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References

  1. Won, S.-H. P. and Golnaraghi, F., "A Triaxial Accelerometer Calibration Method Using a Mathematical Model," IEEE Transactions on Instrumentation and Measurement, Vol. 59, No. 8, pp. 2144-2153, 2010. https://doi.org/10.1109/TIM.2009.2031849
  2. Song, C., "Autocalibration Method of Three-Axis Micromachined Accelerometers," Transactions of the KIEE on Systems and Control, Vol. 55C, No. 9, pp. 456-460, 2006.
  3. Tabatabaei, S. A. H., Gluhak, A., and Tafazolli, R., "A Fast Calibration Method for Triaxial Magnetometers," IEEE Transactions on Instrumentation and Measurement, Vol. 62, No. 11, pp. 2929-2937, 2013. https://doi.org/10.1109/TIM.2013.2263913
  4. Li, Q. and Griffiths, J. G., "Least Squares Ellipsoid Specific Fitting," Proc. of the Geometric Modeling and Processing, pp. 335-340, 2004.
  5. Fitzgibbon, A., Pilu, M., and Fisher, R. B., "Direct Least Square Fitting of Ellipses," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 21, No. 5, pp. 476-480, 1999. https://doi.org/10.1109/34.765658
  6. Li, Q. and Griffiths, J. G., "Least Squares Ellipsoid Specific Fitting," Proc. of the Geometric Modeling and Processing, pp. 335-340, 2004.
  7. Grammalidis, N. and Strintzis, M. G., "Head Detection and Tracking by 2-D and 3-D Ellipsoid Fitting," Proc. of the Computer Graphics International, pp. 221-226, 2000.
  8. Yu, J., Kulkarni, S. R., and Poor, H. V., "Robust Fitting of Ellipses and Spheroids," Proc. of the Forty-Third Asilomar Conference on Signals, Systems and Computers, pp. 94-98, 2009.
  9. Vasconcelos, J., Elkaim, G., Silvestre, C., Oliveira, P., and Cardeira, B., "Geometric Approach to Strapdown Magnetometer Calibration in Sensor Frame," IEEE Transactions on Aerospace and Electronic Systems, Vol. 47, No. 2, pp. 1293-1306, 2011. https://doi.org/10.1109/TAES.2011.5751259
  10. Pang, H., Chen, D., Pan, M., Luo, S., Zhang, Q., et al., "A New Calibration Method of Three Axis Magnetometer with Nonlinearity Suppression," IEEE Transactions on Magnetics, Vol. 49, No. 9, pp. 5011- 5015, 2013. https://doi.org/10.1109/TMAG.2013.2259842
  11. Shen, S., Chen, C., and Huang, H., "A New Calibration Method for Mems Inertial Sensor Module," Proc. of the 11th IEEE International Workshop on Advanced Motion Control, 2010, pp. 106-111, 2010.
  12. Ozyagcilar, T., "Calibrating an Ecompass in the Presence of Hard and Soft-Iron Interference," Freescale Semiconductor, Document ID: AN4246, 2012.
  13. Bragge, T., Hakkarainen, M., Tarvainen, M. P., Liikavainio, T., Arokoski, J., et al., "Calibration of Triaxial Accelerometer by Determining Sensitivity Matrix and Offsets Simultaneously," Proc. of the 1st Joint ESMAC-GCMAS Meeting, 2006.
  14. Rosin, P. L., "A Note on the Least Squares Fitting of Ellipses," Pattern Recognition Letters, Vol. 14, No. 10, pp. 799-808, 1993. https://doi.org/10.1016/0167-8655(93)90062-I