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The competitive price game model is used to analyze the spectrum sharing in the cognitive radio networks. This paper focuses on the improved spectrum sharing problem with constraints of available spectrum resource from primary users. The constrained spectrum sharing model based on competitive price game is established. In order to achieve the spectrum sharing strategy that satisfies the constraints from primary users, the Rockafeller multiplier method is applied to deal with the constraints of available licensed spectrum resource, and the improved profit function is achieved, which can be used to measure the impact of shared spectrum price strategies on the system profit.
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