Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Imprecise linear filtering: a second step

Authors
Olivier Strauss, Agnès Rico
Corresponding Author
Olivier Strauss
Available Online August 2011.
DOI
10.2991/eusflat.2011.118How to use a DOI?
Keywords
Linear filtering, interval-valued signal, Choquet and Sipos integrals, capacities, imprecise knowledge.
Abstract

Linear digital signal processing consists in convoluting the input sampled signal with the discrete version of the impulse response of a filter designed by an expert. More than often, a unique impulse response does not represent the complete knowledge of the expert who should have proposed more than one appropriate filter. In a recent paper, we have proposed an extension of the finite impulse response filtering that able to represent the fact that the filter is imprecisely known. This extension leads to compute an interval-valued filtered signal. In this paper, we propose a natural follow-up of this work by considering interval-valued input signals and replacing the Choquet integral by the Sipos integral.

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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Volume Title
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
Series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
10.2991/eusflat.2011.118
ISSN
1951-6851
DOI
10.2991/eusflat.2011.118How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Olivier Strauss
AU  - Agnès Rico
PY  - 2011/08
DA  - 2011/08
TI  - Imprecise linear filtering: a second step
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 457
EP  - 463
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.118
DO  - 10.2991/eusflat.2011.118
ID  - Strauss2011/08
ER  -