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Recent work has shown that adaptive CSMA algorithms can achieve throughputoptimality. However, these adaptive CSMA algorithms assume a rather simplisticmodel for the wireless medium. Specifically, the interference is typicallymodelled by a conflict graph, and the channels are assumed to be static. Inthis work, we propose a distributed and adaptive CSMA algorithm under a morerealistic signal-to-interference ratio (SIR) based interference model, withtime-varying channels. We prove that our algorithm is throughput optimal underthis generalized model. Further, we augment our proposed algorithm by using aparallel update technique. Numerical results show that our algorithmoutperforms the conflict graph based algorithms, in terms of supportablethroughput and the rate of convergence to steady-state.

Spatial CSMA: A Distributed Scheduling Algorithm for the SIR Model with Time-varying Channels