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Massive MIMO Asymptotics for Ray-Based Propagation Channels

Li, Shuang ; Smith, Peter J ; Dmochowski, Pawel A ; Tataria, Harsh LU ; Matthaiou, Michail and Yin, Jingwei (2020) In IEEE Transactions on Wireless Communications 19(6). p.3977-3991
Abstract
Favorable propagation (FP) and channel hardening (CH) are desired properties in massive multiple-input multiple-output (MIMO) systems. To date, these properties have primarily been analyzed for classical statistical channel models, or ray-based models with very specific angular parameters and distributions. This paper presents a thorough mathematical analysis of the asymptotic system behavior for ray-based channels with arbitrary ray distributions, and considers two types of antenna array structures at the cellular base station: a uniform linear array (ULA) and a uniform planar array (UPA). In addition to FP and channel hardening, we analyze the large system potential (LSP) which measures the asymptotic ratio of the expected power in the... (More)
Favorable propagation (FP) and channel hardening (CH) are desired properties in massive multiple-input multiple-output (MIMO) systems. To date, these properties have primarily been analyzed for classical statistical channel models, or ray-based models with very specific angular parameters and distributions. This paper presents a thorough mathematical analysis of the asymptotic system behavior for ray-based channels with arbitrary ray distributions, and considers two types of antenna array structures at the cellular base station: a uniform linear array (ULA) and a uniform planar array (UPA). In addition to FP and channel hardening, we analyze the large system potential (LSP) which measures the asymptotic ratio of the expected power in the desired channel to the expected total interference power when both the antenna and user numbers grow. LSP is said to hold when this ratio converges to a positive constant. The results demonstrate that while FP is guaranteed in ray-based channels, CH may or may not occur depending on the nature of the model. Furthermore, we demonstrate that LSP will not normally hold as the expected interference power grows logarithmically for both ULAs and UPAs relative to the power in the desired channel as the system size increases. Nevertheless, we identify some fundamental and attractive properties of massive MIMO in this limiting regime. (Less)
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author
; ; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Massive MIMO, favorable propagation, channel hardening, ray-based channels, ULA, UPA
in
IEEE Transactions on Wireless Communications
volume
19
issue
6
pages
14 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85089563513
ISSN
1536-1276
DOI
10.1109/TWC.2020.2979146
project
Massive Mimo Technology and Applications
language
English
LU publication?
yes
id
65fdd5b3-3c4b-4d6b-aaca-f853d7c8f9e0
date added to LUP
2020-03-03 13:19:50
date last changed
2022-05-12 00:51:06
@article{65fdd5b3-3c4b-4d6b-aaca-f853d7c8f9e0,
  abstract     = {{Favorable propagation (FP) and channel hardening (CH) are desired properties in massive multiple-input multiple-output (MIMO) systems. To date, these properties have primarily been analyzed for classical statistical channel models, or ray-based models with very specific angular parameters and distributions. This paper presents a thorough mathematical analysis of the asymptotic system behavior for ray-based channels with arbitrary ray distributions, and considers two types of antenna array structures at the cellular base station: a uniform linear array (ULA) and a uniform planar array (UPA). In addition to FP and channel hardening, we analyze the large system potential (LSP) which measures the asymptotic ratio of the expected power in the desired channel to the expected total interference power when both the antenna and user numbers grow. LSP is said to hold when this ratio converges to a positive constant. The results demonstrate that while FP is guaranteed in ray-based channels, CH may or may not occur depending on the nature of the model. Furthermore, we demonstrate that LSP will not normally hold as the expected interference power grows logarithmically for both ULAs and UPAs relative to the power in the desired channel as the system size increases. Nevertheless, we identify some fundamental and attractive properties of massive MIMO in this limiting regime.}},
  author       = {{Li, Shuang and Smith, Peter J and Dmochowski, Pawel A and Tataria, Harsh and Matthaiou, Michail and Yin, Jingwei}},
  issn         = {{1536-1276}},
  keywords     = {{Massive MIMO; favorable propagation; channel hardening; ray-based channels; ULA; UPA}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{3977--3991}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Wireless Communications}},
  title        = {{Massive MIMO Asymptotics for Ray-Based Propagation Channels}},
  url          = {{http://dx.doi.org/10.1109/TWC.2020.2979146}},
  doi          = {{10.1109/TWC.2020.2979146}},
  volume       = {{19}},
  year         = {{2020}},
}