An investigation of stochastic market equilibrium in cognitive radio networks

Authors:
Sang-Seon Byun;Athanasios Vasilakos;Ilangko Balasingham
Affiliations:
Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Norway;Department of Computer Science, University of Western Macedonia, Greece;Interventional Center, Oslo University Hospital, Rikshospitalet and Department of Electronics and Telecommunications, Norwegian University of Science and Technology, Norway
Venue:
IEEE Communications Letters
Year:
2010

Citing 2
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An accurate model for interference from spatially distributed shadowed users in CDMA uplinks

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Abstract

In this letter, we model a cognitive radio network as an interference market where each primary user (PU) and secondary user (SU) are price-taking interference offerers and purchasers, respectively. We consider stochastic interference demands of SUs and the existence of random disturbances in PUs' interference observations. Exploiting the fact that the dB value of the uplink inter-cell interference in CDMA networks is modeled as a Gaussian normal distribution, the price-demand decision process in each PU is given by a pair of stochastic differential equations. Then, we investigate an equilibrium of the interference market and its convergence in the context of asymptotic stability in the mean. Numerical results illustrate the convergence of the price-demand decision process to the equilibrium.