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Higher Degree Fuzzy Transform: Application to Stationary Processes and Noise Reduction

  • Linh NguyenEmail author
  • Michal Holčapek
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 643)

Abstract

In this contribution, we first elaborate the theory of the fuzzy transform of higher degree (F\(^m\)-transform, \(m\ge 0\)) applied to stationary processes that was initiated by Holčapek et al. in [5, 6]. Then, we provide mathematical justification for its application to reduction of irregular fluctuations (noise) generated by specific stationary processes.

Keywords

Fuzzy transform Stationary process Noise reduction 

Notes

Acknowledgments

This work was supported by the project LQ1602 IT4Innovations excellence in science. The additional support was provided by the Czech Science Foundation through the project of No.16-09541S.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Institute for Research and Applications of Fuzzy Modelling, NSC IT4InnovationsUniversity of OstravaOstrava 1Czech Republic

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