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Projective Filtering with Adaptive Selected Projective Dimensions

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Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives (IWIFSGN 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1081))

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Abstract

In this paper we propose a modification of the clustering based nonlinear state–space projection (CNPF) method. The whole filtering process takes place in a reconstructed state–space by applying the time–delay embedding technique. Then, each state-space point is projected on the constructed signal subspace. The subspace has a constant dimension and is the same for all constructed subspaces. A modification is introduced in such a way that subspace dimension may differ depending on the currently processed part of the signal. For this purpose we introduced a concept of signal’s eigenportrait.

The proposed method is applied to process different ECG signals contaminated with a real electromyographic (EMG) noise. As the reference, the CNPF method is used. For different noise levels, the proposed method appears more effective than the reference one.

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Acknowledgement

This research was supported by statutory funds (BK-2017, BK-2018) of the Institute of Electronics, Silesian University of Technology. The work was performed using the infrastructure supported by POIG.02.03.01-24-099/13 grant: GeCONiI–Upper Silesian Center for Computational Science and Engineering.

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Authors and Affiliations

  1. Institute of Electronics, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, 16 Akademicka St., 44-100, Gliwice, Poland

    Tomasz Przybyła & Tomasz Pander

Authors
  1. Tomasz Przybyła
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  2. Tomasz Pander
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Corresponding author

Correspondence to Tomasz Przybyła .

Editor information

Editors and Affiliations

  1. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering, Sofia, Bulgaria

    Krassimir T. Atanassov

  2. Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering, Sofia, Bulgaria

    Vassia Atanassova

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  4. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Andrzej Kaluszko

  5. WIT- Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

  6. Polish Acadamy of Sciences, Systems Research Institute, Warsaw, Poland

    Jan W. Owsinski

  7. Intelligent Systems Laboratory, Faculty of Technical Sciences, Bourgas, Bulgaria

    Sotir Sotirov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University, Burgas, Bulgaria

    Evdokia Sotirova

  9. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  10. Polish Academy of Sciences, Systems Research Institute, Warszawa, Poland

    Slawomir Zadrozny

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Przybyła, T., Pander, T. (2021). Projective Filtering with Adaptive Selected Projective Dimensions. In: Atanassov, K., et al. Uncertainty and Imprecision in Decision Making and Decision Support: New Challenges, Solutions and Perspectives. IWIFSGN 2018. Advances in Intelligent Systems and Computing, vol 1081. Springer, Cham. https://doi.org/10.1007/978-3-030-47024-1_26

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