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The authors consider a time slotted Cognitive Radio (CR) network under Rayleigh fading where multiple Secondary Users (SUs) contend for spectrum usage over available primary users' channels. In the contention, all SUs use common access probabilities to decide whether they access one of available channels. They focus on the throughput performance of an arbitrary SU. To improve the throughput performance of SUs, it is desirable that the access probabilities are adapted to the information on channel status and fading condition. In the analysis, they derive the optimal access probabilities that maximize the throughput performance of an arbitrary SU.
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