The two-user multiple-input multiple-output (MIMO) Gaussian X channel (XC) consists of two transmitters and two receivers, with each transmitter having an independent message to each receiver. The sum capacity of the two-user MIMO Gaussian XC is determined in a noisy interference regime. This sum capacity is achieved by using Gaussian codebooks for the messages on both the direct links (or both the cross links) and treating the interference from the cross links (or direct links) as noise. © 2014 IEEE.

Srikrishna Bhashyam

Department of Electrical Engineering

Channel Capacity

Gaussian distribution

Transmitters

Codebooks

Direct links

Gaussians

Interference channels

Sum capacity

X-CHANNEL

MIMO systems

Fulltext

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IIT Madras

MIMO Gaussian X Channel: Noisy Interference Regime

IEEE Communications Letters

In this paper, we study the Gaussian MIMO Z channel and the Gaussian MIMO X channel. The MIMO X channel (XC) consists of two multiple antenna transmit-receive pairs, where each transmitter communicates with both receivers. The MIMO Z channel (ZC) is obtained from the MIMO X channel by eliminating one of the links and its corresponding message. First, we derive a sum-rate upper bound for the MIMO Z channel and compare it with an existing bound in literature. Next, we consider the MIMO X channel and propose a new sum-rate upper bound by utilizing the sum-rate upper bound for the MIMO ZC. Subsequently, we derive another upper bound for the MIMO XC by assuming receiver cooperation and deriving the worst noise covariance matrix for the resulting two-user MAC. We compare the above two upper bounds for the MIMO XC with the MaddahAli-Motahari-Khandani (MMK) scheme. Then, we consider some consequences of the above results for the MIMO interference channel. Finally, we present some numerical results. The numerical results suggest that the proposed sum-rate capacity upper bounds are tighter than existing bounds. © 1972-2012 IEEE.

IEEE Transactions on Communications

On the sum-rate of the Gaussian MIMO Z channel and the Gaussian MIMO X channel

Foundations and Trends® in Communications and Information Theory

Gaussian Interference Channels: An Information Theoretic Point of View

IEEE Transactions on Information Theory

Interference Alignment and the Generalized Degrees of Freedom of the $X$ Channel

Multiuser MISO Interference Channels With Single-User Detection: Optimality of Beamforming and the Achievable Rate Region

Sum Capacity of MIMO Interference Channels in the Low Interference Regime

Gaussian Interference Networks: Sum Capacity in the Low-Interference Regime and New Outer Bounds on the Capacity Region

MIMO gaussian X channel: Noisy interference regime

Journal	Data powered by TypesetIEEE Communications Letters
Publisher	Data powered by TypesetInstitute of Electrical and Electronics Engineers Inc.
ISSN	10897798
Open Access	No