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• W1978207491 abstract "In this paper we extend the notion of subspace alignment chains (SACs) for the three-user multiple-input multiple-output (MIMO) interference channel to three-cell MIMO cellular networks. By extending the notion of SACs to three-cell networks we show that when d ϵ Z <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>+</sup> DoF/user are achievable in a three-user M × N interference channel (IC) using linear beamforming, then any DoF-tuple {d <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>ij</sub> }, where d <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>ij</sub> ϵ Z <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>+</sup> represents the DoF of the jth user in the ith cell, that satisfies Σ <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>j=1</sub> <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>k</sup> d <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>ij</sub> ≤ d ∀ i is achievable in a three-cell MIMO cellular network with K users per cell having M antennas per user and N antennas per base station (i.e., the (3, K, M, N) network) using linear beamforming. When restricted to symmetric DoF, this result states that whenever d DoF/user are achievable in a three-user M × N IC with d = rs, for some r, s ϵ Z <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>+</sup> , then r DoF/user are achievable in the (3, s, M, N) network. Although the DoF achieved using SACs is not necessarily the largest possible, they are established through a constructive procedure where we show how SACs designed for the three-user interference channel can be modified to design transmit beamformers for the three-cell MIMO cellular networks. Further, we highlight the role played by redundant antennas in reducing the computational cost of designing transmit beamformers for interference alignment." @default.
• W1978207491 created "2016-06-24" @default.
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• W1978207491 date "2013-11-01" @default.
• W1978207491 modified "2023-09-27" @default.
• W1978207491 title "Degrees of freedom achieved using subspace alignment chains for three-cell networks" @default.
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• W1978207491 doi "https://doi.org/10.1109/acssc.2013.6810627" @default.
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