Journal
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Volume 61, Issue 1, Pages 194-205Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSP.2012.2223692
Keywords
Distributed average consensus; progressive quantization; sensor networks
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Funding
- Swiss National Science Foundation [200021_135493]
- Swiss National Science Foundation (SNF) [200021_135493] Funding Source: Swiss National Science Foundation (SNF)
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We consider the problem of distributed average consensus in a sensor network where sensors exchange quantized information with their neighbors. We propose a novel quantization scheme that exploits the increasing correlation between the values exchanged by the sensors throughout the iterations of the consensus algorithm. A low complexity, uniform quantizer is implemented in each sensor, and refined quantization is achieved by progressively reducing the quantization intervals during the convergence of the consensus algorithm. We propose a recurrence relation for computing the quantization parameters that depend on the network topology and the communication rate. We further show that the recurrence relation can lead to a simple exponential model for the quantization step size over the iterations, whose parameters can be computed a priori. Finally, simulation results demonstrate the effectiveness of the progressive quantization scheme that leads to the consensus solution even at low communication rate.
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