Capacity of Wideband Multipath Fading Networks with Physically Degraded Broadcast

In this work we investigate the capacity of multilayer relaying networks operating over multipath fading channels under a non-coherent wideband regime and physically degraded broadcast stages. First, based on hyper-graph models and network equivalence techniques, we derive an upper bound on the network capacity. Then, by considering a peaky, frequency-shift keying signaling scheme, we establish a set of point-to-point achievable rates for each communication link in the network. Finally, by capitalizing on this set of rates we devise an achievable transmission scheme for the entire network via network coding. Remarkably, it turns out that this achievable rate for the network coincides with its upper bound capacity. In other words, these results give ultimately the capacity of the investigated network.