Outer Bounds on the Sum Rate of the K-User MIMO Gaussian Interference Channel

Mohapatra, Parthajit and Murthy, Chandra R (2013) Outer Bounds on the Sum Rate of the K-User MIMO Gaussian Interference Channel. In: IEEE TRANSACTIONS ON COMMUNICATIONS, 61 (1). pp. 176-186.

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Abstract

This paper derives outer bounds on the sum rate of the K-user MIMO Gaussian interference channel (GIC). Three outer bounds are derived, under different assumptions of cooperation and providing side information to receivers. The novelty in the derivation lies in the careful selection of side information, which results in the cancellation of the negative differential entropy terms containing signal components, leading to a tractable outer bound. The overall outer bound is obtained by taking the minimum of the three outer bounds. The derived bounds are simplified for the MIMO Gaussian symmetric IC to obtain outer bounds on the generalized degrees of freedom (GDOF). The relative performance of the bounds yields insight into the performance limits of multiuser MIMO GICs and the relative merits of different schemes for interference management. These insights are confirmed by establishing the optimality of the bounds in specific cases using an inner bound on the GDOF derived by the authors in a previous work. It is also shown that many of the existing results on the GDOF of the GIC can be obtained as special cases of the bounds, e. g., by setting K = 2 or the number of antennas at each user to 1.

Item Type:	Journal Article
Publication:	IEEE TRANSACTIONS ON COMMUNICATIONS
Publisher:	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Additional Information:	Copy right for this article belongs to the IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, 445 HOES LANE, PISCATAWAY, NJ 08855-4141 USA
Keywords:	Interference channel; sum rate; outer bound; generalized degrees of freedom
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	26 Aug 2015 04:54
Last Modified:	26 Aug 2015 04:54
URI:	http://eprints.iisc.ac.in/id/eprint/52200

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