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This paper provides a framework of the distributed multi-user power control problems for Cognitive Radio (CR) networks over fading channels. Using a non-cooperative game with coupled constraints in CR and primary channel outages, the performance traits of power control for multiple CR users are analyzed in the present of multiple Primary Users (PUs) in fading channels. While the feasibility of target SINRs are always guaranteed in most studies, the authors' proposed channel outage model incorporates the probability that the SINR falls below a target threshold due to a severe fading or interferences from CR users.
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