A Scalable Max-Consensus Protocol For Noisy Ultra-Dense Networks
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We introduce ScalableMax, a novel communication scheme for achieving max-consensus in a wireless network that harnesses the broadcast and superposition properties of the wireless channel. In a sufficiently dense network, the amount of communication resources necessary grows logarithmically with the number of nodes, while in state-of-the-art alternatives, this growth is at least linear. ScalableMax can handle additive noise and works well in a high SNR regime. For medium and low SNR, we propose the ScalableMax-EC scheme, which expands upon the ideas of ScalableMax introducing a novel error correction scheme. It achieves lower error rates at the cost of using more channel resources. However, it retains the logarithmic growth with the number of agents in the system.
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