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Computer Science > Information Theory

arXiv:1402.4543 (cs)
[Submitted on 19 Feb 2014]

Title:Normalized Volume of Hyperball in Complex Grassmann Manifold and Its Application in Large-Scale MU-MIMO Communication Systems

Authors:Dengkui Zhu, Boyu Li, Ping Liang
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Abstract:This paper provides a solution to a critical issue in large-scale Multi-User Multiple-Input Multiple-Output (MU-MIMO) communication systems: how to estimate the Signal-to-Interference-plus-Noise-Ratios (SINRs) and their expectations in MU-MIMO mode at the Base Station (BS) side when only the Channel Quality Information (CQI) in Single-User MIMO (SU-MIMO) mode and non-ideal Channel State Information (CSI) are known? A solution to this problem would be very beneficial for the BS to predict the capacity of MU-MIMO and choose the proper modulation and channel coding for MU-MIMO. To that end, this paper derives a normalized volume formula of a hyperball based on the probability density function of the canonical angle between any two points in a complex Grassmann manifold, and shows that this formula provides a solution to the aforementioned issue. It enables the capability of a BS to predict the capacity loss due to non-ideal CSI, group users in MU-MIMO mode, choose the proper modulation and channel coding, and adaptively switch between SU-MIMO and MU-MIMO modes, as well as between Conjugate Beamforming (CB) and Zero-Forcing (ZF) precoding. Numerical results are provided to verify the validity and accuracy of the solution.
Subjects: Information Theory (cs.IT)
Cite as: arXiv:1402.4543 [cs.IT]
  (or arXiv:1402.4543v1 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.1402.4543

Submission history

From: Boyu Li [view email]
[v1] Wed, 19 Feb 2014 01:35:40 UTC (500 KB)
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