Deterministic Capacity of MIMO Relay Networks

The deterministic capacity of a relay network is the capacity of a network when relays are restricted to transmitting reliable information, that is, (asymptotically) deterministic function of the source message. A key feature of the deterministic capacity is that it can be found for a number of networks, as opposed to the general Shannon capacity of networks, which is generally unknown, even for the relay channel. We consider in particular the low power limit when SNR -> 0. This limit can sometimes be found even when capacity is not known for SNR> 0. We derive the deterministic capacity of some MIMO relay channels in the low power regime.