Is Gaussian noise the worst-case additive noise in wireless networks?

An important classical result in Information Theory states that the Gaussian noise is the worst-case additive noise in point-to-point channels. In this paper, we significantly generalize this result and show that, under very mild assumptions, Gaussian noise is also the worst-case additive noise in general wireless networks with additive noises that are independent from the transmit signals. More specifically, we prove that, given a coding scheme with finite reading precision for an AWGN network, one can build a coding scheme that achieves the same rates on an additive noise wireless network with the same topology, where the noise terms may have any distribution with same mean and variance as in the AWGN network.