Wireless networks of bounded capacity

TL;DR

This paper proves that in certain noncoherent wireless networks with non-cooperating nodes and specific fading conditions, the channel capacity remains limited regardless of increasing SNR.

Contribution

It extends previous results by confirming that capacity is bounded under broader conditions, including exponential or slower decay of fading variances.

Findings

Capacity is bounded in SNR for noncoherent networks with non-cooperating nodes.

Capacity remains limited even as SNR increases under specified fading conditions.

The result generalizes earlier findings by Lozano, Heath, and Andrews.

Abstract

We consider a noncoherent wireless network, where the transmitters and receivers are cognizant of the statistics of the fading coefficients, but are ignorant of their realizations. We demonstrate that if the nodes do not cooperate, if they transmit symbols that all follow the same distribution, and if the variances of the fading coefficients decay exponentially or more slowly, then the channel capacity is bounded in the SNR. This confirms a similar result by Lozano, Heath, and Andrews.