Intrinsic Capacity of Random Scattered Spatial Communication

We consider information transfer under spatially constrained wireless communication through a scattered random environment. We show that the capacity of the channel is dominated by the free-space separation of the transmit and receive regions from the scattering environment. We show that the free-space separation produces a compact random channel operator whose information rate may be estimated via a water-pouring result. We apply our results to the dense-scattered spatial channel, to provide a novel upper-bound on the capacity of information transfer in a scattered environment