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Truncated pi-functions in Approximation of Multi-shaped Polygons
Responsible organisation
2004 (English)Conference paper, Published paper (Refereed) Published
Abstract [en]

The studies of data, which result in sampled information in the form of finite fuzzy sets, give rise to the creation of polygons consisting of finite numbers of points tied together. Since the polygons are not formalized by some mathematical expressions, it would be desirable to find continuous functions approximating them rather thoroughly in spite of their irregular shapes. An approximation by the standard curves is sometimes too rough to be a reliable source of a further analysis of the polygons. To improve the accuracy of approximating we test a continuous function, which is composed of joined pi-class functions with seven parameters. The function, called by us “the sampled, truncated pi”, is very sensitive for each little deviation in the polygon’s shape, which allows us to classify it exactly without large errors usually accompanying a process of standard approximation.

Place, publisher, year, edition, pages
Warszawa: EXIT - the Polish Academy of Sciences , 2004.
Keywords [en]
truncated pi-functions, a polygon approximation, IP traffic characterization
National Category
Mathematics Computer Sciences
Identifiers
URN: urn:nbn:se:bth-9549Local ID: oai:bth.se:forskinfoCB0BF618480D0527C1256FA3003832C3ISBN: 83-87674-71-0 (print)OAI: oai:DiVA.org:bth-9549DiVA, id: diva2:837420
Conference
EURO WG on Fuzzy Sets
Available from: 2012-09-18 Created: 2005-02-09 Last updated: 2018-12-19Bibliographically approved
In thesis
1. Applications of Soft Computing Techniques for Wireless Communications
Open this publication in new window or tab >>Applications of Soft Computing Techniques for Wireless Communications
2019 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis presents methods and applications of Fuzzy Logic and Rough Sets in the domain of Telecommunications at both the network and physical layers. Specifically, the use of a new class of functions, the truncated π functions, for classifying IP traffic by matching datagram size histograms is explored. Furthermore, work on adapting the payoff matrix in multiplayer games by using fuzzy entries as opposed to crisp values that are hard to quantify, is presented.

Additionally, applications of fuzzy logic in wireless communications are presented, comprised by a comprehensive review of current trends and applications, followed by work directed towards using it in spectrum sensing and power control in cognitive radio networks.

This licentiate thesis represents parts of my work in the fields of Fuzzy Systems and Wireless Communications. The work was done in collaboration between the Departments of Applied Signal Processing and Mathematics at Blekinge Institute of Technology.

Place, publisher, year, edition, pages
Karlskrona: Blekinge Tekniska Högskola, 2019
Series
Blekinge Institute of Technology Licentiate Dissertation Series, ISSN 1650-2140 ; 1
National Category
Telecommunications
Identifiers
urn:nbn:se:bth-17314 (URN)978-91-7295-364-2 (ISBN)
Supervisors
Available from: 2018-12-19 Created: 2018-11-19 Last updated: 2019-01-17Bibliographically approved

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Rakus-Andersson, Elisabeth

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
  • text
  • asciidoc
  • rtf