On the role of deterministic models in K × K × K wireless networks

Abstract

This paper establishes a connection between the capacity region of the K × K × K wireless network under the AWGN channel model and under a truncated deterministic channel model, which allows any outer bound on the capacity region of the truncated network to be translated into an outer bound on the capacity region of the AWGN network. The result is obtained through the utilization of a recent worst-case noise theorem [1], which shows that perturbing the noise distribution in AWGN networks only increases the capacity region.