When Is the Achievable Rate Region Convex in Two-User Massive MIMO Systems?

Zheng Chen; Emil Björnson; Erik G. Larsson

doi:10.1109/LWC.2018.2825443

When Is the Achievable Rate Region Convex in Two-User Massive MIMO Systems?

Information Theory 2018-06-20 v1 Networking and Internet Architecture math.IT

Authors: Zheng Chen , Emil Björnson , Erik G. Larsson

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Abstract

This letter investigates the achievable rate region in Massive multiple-input-multiple-output (MIMO) systems with two users, with focus on the i.i.d.~Rayleigh fading and line-of-sight (LoS) scenarios. If the rate region is convex, spatial multiplexing is preferable to orthogonal scheduling, while the opposite is true for non-convex regions. We prove that the uplink and downlink rate regions with i.i.d.~Rayleigh fading are convex, while the convexity in LoS depends on parameters such as angular user separation, number of antennas, and signal-to-noise ratio (SNR).

Keywords

mimo communication fading channels optical network

Cite

@article{arxiv.1806.07178,
  title  = {When Is the Achievable Rate Region Convex in Two-User Massive MIMO Systems?},
  author = {Zheng Chen and Emil Björnson and Erik G. Larsson},
  journal= {arXiv preprint arXiv:1806.07178},
  year   = {2018}
}

Comments

4 pages, 3 figures, published in IEEE Wireless Communications Letters

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