2011/04/05 by Guy Bresler, Bresler, Guy, Dustin Cartwright +3 · 1 citation
Computer Science · Engineering · Mathematics · #Advanced MIMO Systems Optimization #Antenna Design and Analysis #FOS: Computer and information sciences #Information Theory (cs.IT) #Wireless Communication Security Techniques #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1104.0888
13 pages, no figures
arxiv created 2011/04/05 · openalex publication_date 2011/04/05 · arxiv updated 2011/06/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.