A continuous cost function for the reconstruction of wired networks from reflection measurements. Blum, S., Ulrich, M., & Yang, B. In 2017 25th European Signal Processing Conference (EUSIPCO), pages 2551-2555, Aug, 2017.
A continuous cost function for the reconstruction of wired networks from reflection measurements [pdf]Paper  doi  abstract   bibtex   
We present in this work a novel approach for the reconstruction of wired network topologies from reflection measurements. Existing approaches state the network reconstruction as discrete optimization problem, which is difficult to solve. The (discrete) topology is optimized while the cable lengths are a secondary result. The contribution of this paper is the formulation of the topology reconstruction as a continuous problem. The idea is to rather optimize the (continuous) cable lengths and automatically obtain the topology as a secondary result. Further we present a heuristic algorithm to solve the optimization approximately. Using simulated reflectometry data, we demonstrate the performance of our approach.

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