Asymptotic Capacity of Multi-User MIMO Communications

Romain Couillet (1) , Merouane Debbah (2) , Jack W. Silverstein (3)

1 NXP Semiconductors
2 E3S - Supélec Sciences des Systèmes
3 NC State - North Carolina State University [Raleigh]

This paper introduces two new formulas to derive explicit capacity expressions of a class of communication schemes, which include single-cell multi-user MIMO and singleuser MIMO with multi-cell interference. The extension of a classical theorem from Silverstein allows us to assume a channel Kronecker model between the base stations and the cellular terminals, provided that they all embed a large number of antennas. As an introductory example, we study the singleuser MIMO setting with multi-cell interference, in the downlink. We provide new asymptotic capacity formulas when single-user decoding of the incoming data or MMSE decoding are used. Simulations are shown to corroborate the theoretical claims, even when the number of transmit/receive antennas is not very large.

Domains: Information Theory [cs.IT]; Information Theory [math.IT]

Romain Couillet, Merouane Debbah, Jack W. Silverstein. Asymptotic Capacity of Multi-User MIMO Communications. IEEE Information Theory Workshop (ITW 2009), Oct 2009, Italy. 5 p. ⟨hal-00447031⟩