Polynomial Filtering for Fast Convergence in Distributed Consensus

11 years 5 months ago
Polynomial Filtering for Fast Convergence in Distributed Consensus
Abstract--In the past few years, the problem of distributed consensus has received a lot of attention, particularly in the framework of ad hoc sensor networks. Most methods proposed in the literature address the consensus averaging problem by distributed linear iterative algorithms, with asymptotic convergence of the consensus solution. The convergence rate of such distributed algorithms typically depends on the network topology and the weights given to the edges between neighboring sensors, as described by the network matrix. In this paper, we propose to accelerate the convergence rate for given network matrices by the use of polynomial filtering algorithms. The main idea of the proposed methodology is to apply a polynomial filter on the network matrix that will shape its spectrum in order to increase the convergence rate. Such an algorithm is equivalent to periodic updates in each of the sensors by aggregating a few of its previous estimates. We formulate the computation of the coeff...
Effrosini Kokiopoulou, Pascal Frossard
Added 25 Dec 2010
Updated 25 Dec 2010
Type Journal
Year 2008
Where CORR
Authors Effrosini Kokiopoulou, Pascal Frossard
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