Settling the feasibility of interference alignment for the MIMO interference channel: the symmetric square case

Details Settling the feasibility of interference alignment for the MIMO interference channel: the symmetric square case Settling the feasibility of interference alignment for the MIMO interference channel: the symmetric square case

2011-04-05

arxiv.org/abs/1104.0888v1

Computer Science

Information Theory

13 pages, no figures

Scientific paper

Determining the feasibility conditions for vector space interference alignment in the K-user MIMO interference channel with constant channel coefficients has attracted much recent attention yet remains unsolved. The main result of this paper is restricted to the symmetric square case where all transmitters and receivers have N antennas, and each user desires d transmit dimensions. We prove that alignment is possible if and only if the number of antennas satisfies N>= d(K+1)/2. We also show a necessary condition for feasibility of alignment with arbitrary system parameters. An algebraic geometry approach is central to the results.

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