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arXiv 1104.0888cs.ITmath.IT
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解决MIMO干扰信道的干扰对齐的可行性:对称正方形情况

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

Guy Bresler, Dustin Cartwright, David Tse

摘要:

确定具有恒定信道系数的K用户MIMO干扰信道中的向量空间干扰对齐的可行性条件最近引起了很多关注,但仍然没有解决。本文的主要结果是限制在对称的正方形的情况下,所有的发射机和接收机有N个天线,每个用户的期望d发送尺寸。我们证明了对齐是可能的,当且仅当天线的数量满足N>= d(K+1)/2。我们还展示了一个必要条件,与任意系统参数的对准的可行性。一个代数几何方法是中央的结果。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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