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

Abstract

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.

13 pages, no figures

References in corpus (4)

• Approaching the Capacity of Wireless Networks through Distributed Interference Alignment
• Feasibility Conditions for Interference Alignment
• The Approximate Capacity of the Many-to-One and One-to-Many Gaussian Interference Channels
• On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel

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