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In this article we present a method to reconstruct the interconnectedness ofdynamically related stochastic processes, where the interactions arebi-directional and the underlying topology is a tree. Our approach is based onmultivariate Wiener filtering which recovers spurious edges apart from the trueedges in the topology reconstruction. The main contribution of this work is toshow that all spurious links obtained using Wiener filtering can be eliminatedif the underlying topology is a tree based on which we present a three stagenetwork reconstruction procedure for trees. We illustrate the effectiveness ofthe method developed by applying it on a typical distribution system of theelectric grid.

Exact Topology Reconstruction of Radial Dynamical Systems with Applications to Distribution System of the Power Grid