Bounds on the sum-rate capacity of the Gaussian MIMO X channel

Prasad, Ranga and Srinidhi, N and Chockalingam, A (2013) Bounds on the sum-rate capacity of the Gaussian MIMO X channel. In: 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton), OCT 01-05, 2012, Monticello, IL, USA, pp. 1238-1245.

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Abstract

We consider the MIMO X channel (XC), a system consisting of two transmit-receive pairs, where each transmitter communicates with both the receivers. Both the transmitters and receivers are equipped with multiple antennas. First, we derive an upper bound on the sum-rate capacity of the MIMO XC under individual power constraint at each transmitter. The sum-rate capacity of the two-user multiple access channel (MAC) that results when receiver cooperation is assumed forms an upper bound on the sum-rate capacity of the MIMO XC. We tighten this bound by considering noise correlation between the receivers and deriving the worst noise covariance matrix. It is shown that the worst noise covariance matrix is a saddle-point of a zero-sum, two-player convex-concave game, which is solved through a primal-dual interior point method that solves the maximization and the minimization parts of the problem simultaneously. Next, we propose an achievable scheme which employs dirty paper coding at the transmitters and successive decoding at the receivers. We show that the derived upper bound is close to the achievable region of the proposed scheme at low to medium SNRs.

Item Type:	Conference Paper
Publisher:	IEEE
Additional Information:	50th Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL, OCT 01-05, 2012
Keywords:	MIMO X Channel; Interference Channel; Convex-Concave Game; Primal-Dual Interior Point Method; Dirty Paper Coding
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	10 Aug 2013 05:08
Last Modified:	10 Aug 2013 05:08
URI:	http://eprints.iisc.ac.in/id/eprint/47008

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