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Proportional and double imitation rules for spectrum access in cognitive radio networks
Authors:Stefano Iellamo  Lin Chen  Marceau Coupechoux
Affiliation:1. Telecom ParisTech, CNRS LTCI, 46 Rue Barrault, Paris 75013, France;2. University Paris-Sud XI, CNRS, LRI, 91405 Orsay, France;1. Department of Computing, Curtin University of Technology, Perth, WA, Australia;2. University of Wollongong, Northfields Ave., Wollongong, NSW, Australia;1. Telefonica Research, Plaza de Ernest Lluch i Martín, 5, floor 15, 08019 Barcelona, Spain;2. Budapest University of Technology and Economics, Department of Telecommunications and Media Informatics, 2 Magyar tudósok körútja, Budapest, H-1117, Hungary;3. Norwegian University of Science and Technology, Department of Telematics, O.S. Bragstads plass 2a, N-7491 Trondheim, Norway;4. Hungarian Academy of Science (MTA) Information System Research Group, Széchenyi István tér 9., 1051 Budapest, Hungary;5. MTA-BME Future Internet Research Group, Széchenyi István tér 9., 1051 Budapest, Hungary;6. Inter-University Centre for Telecommunications and Informatics, Kassai út 26., 4028 Debrecen, Hungary;1. Department of Mechanical and Biomedical Engineering, City University of Hong Kong, Kowloon, Hong Kong;2. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, China
Abstract:In this paper, we tackle the problem of opportunistic spectrum access in large-scale cognitive radio networks, where the unlicensed Secondary Users (SUs) access the frequency channels partially occupied by the licensed Primary Users (PUs). Each channel is characterized by an availability probability unknown to the SUs. We apply population game theory to model the spectrum access problem and develop distributed spectrum access policies based on imitation, a behavior rule widely applied in human societies consisting of imitating successful behaviors. We develop two imitation-based spectrum access policies based on the basic Proportional Imitation (PI) rule and the more advanced Double Imitation (DI) rule given that a SU can only imitate the other SUs operating on the same channel. A systematic theoretical analysis is presented for both policies on the induced imitation dynamics and the convergence properties of the proposed policies to the Nash equilibrium. Simple and natural, the proposed imitation-based spectrum access policies can be implemented distributedly based on solely local interactions and thus is especially suited in decentralized adaptive learning environments as cognitive radio networks.
Keywords:Cognitive radio networks  Resource allocation  Population game  Learning
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