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Spectrum sharing is an important topic in Cognitive Radio Ad Hoc Networks (CRAHNs) and Cognitive Radio Sensor Networks (CRSNs). Bio-inspired consensus-based protocols can provide light-weight and efficient solutions for CRAHNs and CRSNs but the theoretical ground should be investigated for spectrum sharing fairness. In this paper, the authors investigate the convergence condition when applying a consensus protocol to spectrum sharing while ensuring spectrum sharing fairness. Based on the local observation and local control scheme using spectrum-related information, an individual cognitive node can effectively perform the spectrum sharing if a certain condition is met.
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