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Adaptive Rational Transformations in Biomedical Signal Processing

  • Gergő BognárEmail author
  • Sándor Fridli
  • Péter Kovács
  • Ferenc Schipp
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, 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.

Notes

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Gergő Bognár
    • 1
    Email author
  • Sándor Fridli
    • 1
  • Péter Kovács
    • 1
  • Ferenc Schipp
    • 1
  1. 1.Department of Numerical Analysis, Faculty of InformaticsELTE Eötvös Loránd UniversityBudapestHungary

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