Computer Science – Information Theory
Scientific paper
2011-05-26
Computer Science
Information Theory
50 pages, 7 figures, part of it accepted in ISIT 2011
Scientific paper
The K-user symmetric multiple input multiple output (MIMO) Gaussian interference channel (IC) where each transmitter has M antennas and each receiver has N antennas is studied from a generalized degrees of freedom (GDOF) perspective. An inner bound on the GDOF is derived using a combination of techniques such as treating interference as noise, zero forcing (ZF) at the receivers, interference alignment (IA), and extending the Han-Kobayashi (HK) scheme to K users, as a function of the number of antennas and the log(INR)/log(SNR} level. Also, outer bounds on the sum rate of the K-user MIMO Gaussian IC are derived. The outer bounds are simplified for the symmetric MIMO Gaussian IC to obtain outer bounds on the generalized degrees of freedom (GDOF). Three different outer bounds are derived, under different assumptions of cooperation and providing side information to receivers. The overall outer bound is then obtained by taking the minimum of the three outer bounds. Several interesting conclusions are drawn from the derived bounds. For example, when K > N/M+1, a combination of the HK and IA schemes performs the best among the schemes considered. When N/M < K <= N/M+1, the HK-scheme outperforms other schemes and is found to be GDOF optimal in many cases. In addition, when the SNR and INR are at the same level, ZF-receiving and the HK-scheme have the same GDOF performance.
Mohapatra Parthajit
Murthy Chandra R.
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