Broadcast gossip algorithm with quantization

The paper studies the problem of asynchronous broadcast gossip average consensus with quantized information communication constraints. How quantization affects the evolution of the broadcast gossip average consensus algorithm is investigated. We show that the agents´ states converge to a random variable that deviates from the average of the agents´ initial states. We give result of the mean square error of the states, which depends on the quantized precision and the network parameters.