Computer Science – Information Theory
Scientific paper
2009-09-25
Computer Science
Information Theory
25 pages, 4 figures, Presented in part at ISIT 2010, submitted to IEEE Transactions on Information Theory, June 2011
Scientific paper
We consider the $K$-user Multiple Input Multiple Output (MIMO) Gaussian interference channel with $M$ antennas at each transmitter and $N$ antennas at each receiver. It is assumed that channel coefficients are constant and are available at all transmitters and at all receivers. The main objective of this paper is to characterize the Degrees of Freedom (DoF) for this channel. Using a new interference alignment technique which has been recently introduced in \cite{abolfazl-final}, we show that $\frac{MN}{M+N} K$ degrees of freedom can be achieved for almost all channel realizations. Also, a new upper-bound on the DoF of this channel is provided. This upper-bound coincides with our achievable DoF for $K\geq K_u\define\frac{M+N}{\gcd(M,N)}$, where $\gcd(M,N)$ denotes the greatest common divisor of $M$ and $N$. This gives an exact characterization of DoF for $M\times N$ MIMO Gaussian interference channel in the case of $K\geq K_u$.
Ghasemi Akbar
Khandani Amir Keyvan
Motahari Abolfazl Seyed
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