Statistical analysis of a smoothing filter based on fuzzy transform

DOI

10.2991/eusflat.2011.27How to use a DOI?

Keywords

Fuzzy transform, smoothing filter, statistical analysis, white noise reduction

Abstract

The paper is devoted to the smoothing of discrete functions using the fuzzy transform (shortly, Ftransform) introduced by Perfilieva in [1]. We generalize a smoothing filter based on the fuzzy transform proposed in [2] to obtain a better control on the smoothed functions. For this purpose, a generalization of the concept of fuzzy partition is suggested and the smoothing filter is defined as a combination of the direct discrete F-transform and a slightly modified inverse continuous F-transform. Statistical properties including the description of the white noise reduction and the asymptotic expression of Bias and Var are investigated and discussed.

Copyright

© 2011, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Michal Holcapek
AU  - Tomáš Tichý
PY  - 2011/08
DA  - 2011/08
TI  - Statistical analysis of a smoothing filter based on fuzzy transform
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 472
EP  - 479
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.27
DO  - 10.2991/eusflat.2011.27
ID  - Holcapek2011/08
ER  -