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Routing and Network Coding on Lines, Stars, and Rings

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Network coding allows each node in a network to combine its input information instead of simply storing, copying, and forwarding data. We present several recent results. The first is an upper bound on network coding rates that applies to wireline, wireless, and mixed wireline/wireless networks. The bound, called a progressive d- separating edge set (or PdE) bound, involves progressively removing edges from a network graph and checking whether certain strengthened d- separation conditions are satisfied. Second, we consider line networks that are elements of larger networks. We show that under both edge and node capacity constraints the optimal code is a combination of rate- splitting, copying, routing, and “butterfly” binary linear network coding. Third, we consider star and ring networks and develop related results.

This work was done jointly with Sadegh Tabatabaei and Serap A. Savari.

This talk is part of the Signal Processing and Communications Lab Seminars series.

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