Memory and Processing Efficient Formula for Moving Variance Calculation in EEG and EMG Signal Processing

Mario Michael Krell, Marc Tabie, Hendrik Wöhrle, Elsa Andrea Kirchner

Abstract

Adaptation of human-machine interaction devices by means of physiological data requires online analysis. We introduce new update formulas for otherwise time-demanding calculations of window based current mean and variance of the signal. Those were required for efficient realtime time series data processing. We discuss the formulas with the help of synthetic data. They differ from existing incremental calculations due to a decremental component, because of samples leaving the window of observation. An example application for EMG-based movement onset prediction is presented.

References

  1. Chan, T. F., Golub, G. H., and LeVeque, R. J. (1983). Algorithms for computing the sample variance: Analysis and recommendations. The American Statistician, 37(3):pp. 242-247.
  2. Folgheraiter, M., Jordan, M., Straube, S., Seeland, A., Kim, S. K., and Kirchner, E. A. (2012). Measuring the improvement of the interaction comfort of a wearable exoskeleton. International Journal of Social Robotics.
  3. Kirchner, E. A., Albiez, J., Seeland, A., Jordan, M., and Kirchner, F. (2013). Towards assistive robotics for home rehabilitation. In Chimeno, M. F., Solé-Casals, J., Fred, A., and Gamboa, H., editors, In Proceedings of the 6th International Conference on Biomedical Electronics and Devices (BIODEVICES-13), pages 168-177, Barcelona. SciTePress.
  4. Kohlmorgen, J., Dornhege, G., Braun, M., Blankertz, B., Mueller, K.-R., Curio, G., Hagemann, K., Bruns, A., Schrauf, M., and Kincses, W. (2007). Improving human performance in a real operating environment through real-time mental workload detection, pages 409-422. MIT Press.
  5. Pfurtscheller, G., Allison, B., Brunner, C., Bauernfeind, G., Solis-Escalante, T., Scherer, R., Zander, T. O., Mueller-Putz, G., Neuper, C., and Birbaumer, N. (2010). The hybrid BCI. Front. Neurosci., 4(30):1- 11.
  6. Tabie, M. and Kirchner, E. A. (2013). EMG onset detection - comparison of different methods for a movement prediction task based on EMG. In Proceedings of the International Conference on Bio-inspired Systems and Signal Processing, pages 242-247. SciTePress.
  7. Welford, B. P. (1962). Note on a method for calculating corrected sums of squares and products. Technometrics, 4(3):pp. 419-420.
  8. West, D. H. D. (1979). Updating mean and variance estimates: an improved method. Commun. ACM, 22(9):532-535.
  9. W öhrle, H., Teiwes, J., Kirchner, E. A., and Kirchner, F. (2013). A framework for high performance embedded signal processing and classification of psychophysiological data. In APCBEE Procedia. International Conference on Biomedical Engineering and Technology (ICBET-2013), 4th, May 19-20, Kopenhagen, Denmark. Elsevier.
  10. Zander, T. O., Kothe, C., Jatzev, S., and Gaertner, M. (2010). Enhancing human-computer interaction with input from active and passive brain-computer interfaces. BrainComputer Interfaces, pages 181-199.
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Paper Citation


in Harvard Style

Krell M., Tabie M., Wöhrle H. and Kirchner E. (2013). Memory and Processing Efficient Formula for Moving Variance Calculation in EEG and EMG Signal Processing . In Proceedings of the International Congress on Neurotechnology, Electronics and Informatics - Volume 1: NEUROTECHNIX, ISBN 978-989-8565-80-8, pages 41-45. DOI: 10.5220/0004633800410045


in Bibtex Style

@conference{neurotechnix13,
author={Mario Michael Krell and Marc Tabie and Hendrik Wöhrle and Elsa Andrea Kirchner},
title={Memory and Processing Efficient Formula for Moving Variance Calculation in EEG and EMG Signal Processing},
booktitle={Proceedings of the International Congress on Neurotechnology, Electronics and Informatics - Volume 1: NEUROTECHNIX,},
year={2013},
pages={41-45},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004633800410045},
isbn={978-989-8565-80-8},
}


in EndNote Style

TY - CONF
JO - Proceedings of the International Congress on Neurotechnology, Electronics and Informatics - Volume 1: NEUROTECHNIX,
TI - Memory and Processing Efficient Formula for Moving Variance Calculation in EEG and EMG Signal Processing
SN - 978-989-8565-80-8
AU - Krell M.
AU - Tabie M.
AU - Wöhrle H.
AU - Kirchner E.
PY - 2013
SP - 41
EP - 45
DO - 10.5220/0004633800410045