Have a personal or library account? Click to login
Early-Stage Pilot Study on Using Fractional-Order Calculus-Based Filtering for the Purpose of Analysis of Electroencephalography Signals Cover

Early-Stage Pilot Study on Using Fractional-Order Calculus-Based Filtering for the Purpose of Analysis of Electroencephalography Signals

Open Access
|Jan 2017

References

  1. Badcock, N. A., Mousikou, P., Mahajan, Y., de Lissa, P., Thie, J., & McArthur, G. (2013). Validation of the Emotiv EPOC EEG gaming system for measuring research quality auditory ERPs. PeerJ, 1:e38. DOI: 10.7717/peerj.3810.7717/peerj.38
  2. Bania, P., & Baranowski, J. (2013). Laguerre polynomial approximation of fractional order linear systems. In W. Mitkowski, J. Kacprzyk, & J. Baranowski (Eds.), Advances in the Theory and Applications of Non-integer Order Systems: 5th Conference on Non-integer Order Calculus and Its Applications (pp. 171–182).
  3. Baranowski, J., Bauer, W., Zagorowska, M., & Piatek, P. (2016). On Digital Realizations of Non-integer Order Filters. Circuits, Systems, and Signal Processing, 35, 2083–2107.10.1007/s00034-016-0269-8
  4. Baranowski, J., Piatek, P., Bauer, W., Dziwinski, T., & Zagorwska, M. (2014a). Bi-fractional filters, part 2: Right half-plane case. In Proceedings 19th International Conference on Methods and Models in Automation and Robotics (MMAR) 2014, (pp. 369–373). DOI: 10.1109/MMAR.2014.695738110.1109/MMAR.2014.6957381
  5. Baranowski, J., Zagorowska, M., Bania, P., Bauer, W., Dziwinski, T., & Piatek, P. (2014b). Impulse response approximation method for bi-fractional filter. In Proceedings 19th International Conference on Methods and Models in Automation in Robotics (MMAR) 2014, (pp. 379–383). DOI: 10.1109/MMAR.2014.695738310.1109/MMAR.2014.6957383
  6. Baranowski, J., Zagorowska, M., Bauer, W., Dziwinski, T., & Piatek, P. (2015). Applications of Direct Lyapunov Method in Caputo Non-Integer Order Systems. Elektronika ir Elektrotechnika, 21(2), 10–13.10.5755/j01.eee.21.2.11505
  7. Bauer, W., & Kawala-Janik, A. (2016). Implementation of Bi-fractional Filtering on the Arduino Uno Hardware Platform. Lecture Notes in Electrical Engineering – Theory and Applications of Non-integer Order Systems, 407, 419–428, Springer.
  8. Benitez, D. S., Toscano, S., & Silva, A. (2016). On the use of the Emotiv EPOC neuroheadset as a low cost alternative for EEG signal acquisition. In Proceedings IEEE Colombian Conference on Communications and Computing (COLCOM). DOI: 10.1109/ColComCon.2016.751638010.1109/ColComCon.2016.7516380
  9. Dalir, M., & Bashour, M. (2010). Applications of Fractional Calculus. Applied Mathematical Sciences, 4(21), 1021–1032.
  10. Ferdi, Y. (2011). Fractional order calculus-based filters for biomedical signal processing. 1st Middle East Conference on Biomedical Engineering (pp. 73–76). DOI: 10.1109/MECBME.2011.575206810.1109/MECBME.2011.5752068
  11. Kawala-Janik, A. (2013). Efficiency evaluation of external environments control using bio-signals. PhD Dissertation. University of Greenwich, London.
  12. Kawala-Janik, A., Pelc, M., & Podpora, M. (2015). Method for EEG Signals Pattern Recognition in Embedded Systems. Elektrotechnika ir Elektronika, 21(3), 3–9.10.5755/j01.eee.21.3.9918
  13. Kawala-Janik, A., Podpora, M., Baranowski, J., Bauer, W., & Pelc, M. (2014). Innovative Approach in Analysis of EEG and EMG Signals – Comparison of the Two Novel Methods. In Proceedings 19th Conference on Methods and Models in Automation in Robotics (MMAR) 2014, (pp. 804–807). DOI: 10.1109/MMAR.2014.695745910.1109/MMAR.2014.6957459
  14. Kline, A., & Jaydip, D. (2015). Noninvasive Brain-Machine Interface to Control Both Mecha TE Robotic Hands Using Emotiv EEG Neuroheadset. International Journal of Medical, Health, Biomedical, Bioengineering and Pharmaceutical Engineering, 9(4), 323–327.
  15. Magin, R. L. (2006). Fractional Calculus in Bioengineering. Begell House.
  16. Oustaloup, A., Levron, F., Mathieu, B., & Nanon, F. M. (2000). Frequency-band Complex Nonifnteger Differentiator: Characterization and Synthesis. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47(1), 25–39.10.1109/81.817385
  17. Petras, I. (2011). Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation. Nonlinear Physical Science. Springer Verlag.
  18. Piatek, P., Barnowski, J., Zagorowska, M., Bauer, W., & Dziwinski, T. (2014). Bi-fractional filters, part 1: Left half-plane case. Lecture Notes in Electrical Engineering – Advances in Modelling and Control of Non-integer Order Systems, 320, 81–90, Springer.
  19. Podlubny, I. (1999). Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Mathematics in Science and Engineering, 198.
  20. Radwan, A. G., Elwakil, A. S., & Soliman, A. M. (2009). On the generalization of second-order filters to the fractional-order domain. Journal of Circuits, Systems and Computers, 18(02), 361–386.10.1142/S0218126609005125
  21. Sheng, H., Chen, Y., & Qiu, T. (2011). Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications. Springer.
  22. Tenreiro Machado, J. A. (2011). And I say to myself: “What a fractional world!” Applications of Fractional Calculus. Fractional Calculus and Applied Analysis, 14(4), 635–654.10.2478/s13540-011-0037-1
  23. Wang, J., Ye, Y., Pan, X., & Gao, X. (2015). Parallel-type fractional zero-phase filtering for ECG signal denoising. Biomedical Signal Processing and Control, 18, 36–41.10.1016/j.bspc.2014.10.012
DOI: https://doi.org/10.1515/slgr-2016-0049 | Journal eISSN: 2199-6059 | Journal ISSN: 0860-150X
Language: English
Page range: 103 - 111
Published on: Jan 23, 2017
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Related subjects:

© 2017 Aleksandra Kawala-Janik, Waldemar Bauer, Magda Żołubak, Jerzy Baranowski, published by University of Białystok
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.