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Progress in Industrial Mathematics at ECMI 2018 pp 239–247Cite as

Adaptive Rational Transformations in Biomedical Signal Processing

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Part of the book series: Mathematics in Industry ((TECMI,volume 30))

Abstract

In this paper we provide a summary on our recent research activity in the field of biomedical signal processing by means of adaptive transformation methods using rational systems. We have dealt with several questions that can be efficiently treated by using such mathematical modeling techniques. In our constructions the emphasis is on the adaptivity. We have found that a transformation method that is adapted to the specific problem and the signals themselves can perform better than a transformation of general nature. This approach generates several mathematical challenges and questions. These are approximation, representation, optimization, and parameter extraction problems among others. In this paper we give an overview about how these challenges can be properly addressed. We take ECG processing problems as a model to demonstrate them.

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Acknowledgements

EFOP-3.6.3-VEKOP-16-2017-00001: Talent Management in Autonomous Vehicle Control Technologies—The Project is supported by the Hungarian Government and co-financed by the European Social Fund. This research was supported by the Hungarian Scientific Research Funds (OTKA) No K115804.

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Authors and Affiliations

  1. Department of Numerical Analysis, Faculty of Informatics, ELTE Eötvös Loránd University, Budapest, Hungary

    Gergő Bognár, Sándor Fridli, Péter Kovács & Ferenc Schipp

Authors
  1. Gergő Bognár
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  2. Sándor Fridli
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  3. Péter Kovács
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  4. Ferenc Schipp
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Corresponding author

Correspondence to Gergő Bognár .

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Editors and Affiliations

  1. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary; Department of Differential Equations Mathematical Institute, Budapest University of Technology and Economics, Budapest, Hungary

    István Faragó

  2. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Ferenc Izsák

  3. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Péter L. Simon

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Bognár, G., Fridli, S., Kovács, P., Schipp, F. (2019). Adaptive Rational Transformations in Biomedical Signal Processing. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_30

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