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In this paper we derive capacity regions for network error correction with both known and unknown topologies (coherent and non-coherent network coding) under a multiple-source multicast transmission scenario. For the multiple-source non-multicast scenario, given any achievable network code for the error-free case, we construct a code with a reduced rate region for the case with errors.
We consider a relay network having K source-destination pairs. Finding the capacity region of such a network with multiple unicast sessions is in general difficult. By focusing on a special class of such networks, we show that the capacity can be found. Namely, we consider a linear finite-field channel model, which can model interference in the network. Furthermore, we assume time-varying channels...
In this paper, we consider a class of relay networks with orthogonal components. We assume transmitted signals at a node to its neighbor nodes are orthogonal, e.g., using frequency division multiplexing (FDM). We first consider a simple discrete memoryless network where there is a source, a destination, and two parallel relays between them. We characterize its capacity under a certain restriction...
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