Thesis (Ph. D.)--University of Tasmania. / Title taken from title screen (viewed October 8, 2007). Includes bibliographical references, appendices, and index.

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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.

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This paper investigates how the communication performance of frequency hopping systems are affected by the antenna parameters. The data are generated from Antenna Toolbox in Matlab for the case of two dipole antennas is free space. Non-orthogonal and orthogonal frequency hopping are used and the statistical impact from the antenna on the SINR is investigated. The results can be used to see the wave propagation margin and also see the effects of out-of-bands emissions in frequency hopping systems. The numerical generated model is compared to two isotropic antenna models and it shows that the isotropic models are relatively good despite its simplicity in this case. It does however not capture the spread caused by the directivity. Another model is created which mimic the numerical generated statistical distribution. This model uses the theoretical probability of a collision for both orthogonal and non-orthogonal frequency hopping. The model also uses mean values of directivity, s-parameters and the spread of the gain to calculate a statistical antenna model. This model is better than the isotropic for the tested cases and shows that it is possible to generate a statistical model.

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