Consensus Based Carrier Synchronization in a Two Node Network

Abstract Motivated by synchronous communications, we propose a consensus based carrier synchronization algorithm involving two transceiving units. Our algorithm achieves frequency lock globally and exponentially. Further it also achieves phase synchronization in the following sense. Asymptotically it induces the two transmitters to be either in phase, or out of phase by 180 degrees. We provide a simple method for the transmitters to know if they are out phase by 180 degrees. This constitutes a significant advance over existing carrier synchronization technology which is largely based on Phase Locked Loops that only achieve lock locally.

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