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The authors consider random access in wireless networks under the physical interference model, wherein the receiver is capable of power-based capture, i.e., a packet can be decoded correctly in the presence of multiple transmissions if the received Signal to Interference and Noise Ratio exceeds a threshold. They propose a splitting algorithm that varies the transmission powers of users on the basis of quaternary channel feedback (idle, success, capture, collision). The authors show that their algorithm achieves a maximum stable throughput of 0.5518. Simulation results demonstrate that the authors' algorithm achieves higher throughput and lower delay than the First Come First Serve splitting algorithm with uniform transmission power.
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