Consensus in Correlated Random Wireless Sensor Networks

This contribution studies the convergence of consensus algorithms in random wireless sensor networks with spatially correlated links. Aiming at reducing the convergence time, we adopt an optimization criterion based on the minimization of the spectral radius of a matrix for which we derive closed-form expressions for both directed and undirected topologies. We show that the minimization of the spectral radius assuming constant link weights is a convex optimization problem. The expressions derived subsume known protocols found in literature.