Finite-SNR Bounds on the Sum-Rate Capacity of Rayleigh Block-Fading Multiple-Access Channels with no a Priori CSI

TL;DR

This paper derives finite-SNR bounds on the sum-rate capacity of Rayleigh block-fading multiple-access channels without prior CSI, showing minimal gains from user cooperation at moderate SNRs.

Contribution

It provides the first nonasymptotic bounds on sum-rate capacity for no-CSI Rayleigh MACs, highlighting the limited benefit of cooperation.

Findings

Upper and lower bounds are close at moderate SNRs.

User cooperation offers minimal capacity gains.

Bounds are derived using dual capacity formulas and space-time modulation.

Abstract

We provide nonasymptotic upper and lower bounds on the sum-rate capacity of Rayleigh block-fading multiple-access channels for the setup where a priori channel state information is not available. The upper bound relies on a dual formula for channel capacity and on the assumption that the users can cooperate perfectly. The lower bound is derived assuming a noncooperative scenario, where each user employs unitary space-time modulation (independently from the other users). Numerical results show that the gap between the upper and the lower bound is small already at moderate SNR values. This suggests that the sum-rate capacity gains obtainable through user cooperation are minimal.