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Capacity Bounds for Dense Massive MIMO in a Line-of-Sight Propagation Environment

1
Instituto Nacional de Telecomunicações—INATEL, Santa Rita do Sapucaí 37540-000, MG, Brazil
2
IDLab, Department of Information Technology at Ghent University—IMEC, 9052 Ghent, Belgium
3
DECOM/FEEC–State University of Campinas (UNICAMP), Campinas 13083-852, Brazil
4
Eldorado Research Institute, Campinas 13083-898, Brazil
*
Author to whom correspondence should be addressed.
Sensors 2020, 20(2), 520; https://doi.org/10.3390/s20020520
Received: 18 December 2019 / Revised: 8 January 2020 / Accepted: 13 January 2020 / Published: 17 January 2020
(This article belongs to the Section Physical Sensors)
The use of large-scale antenna arrays grants considerable benefits in energy and spectral efficiency to wireless systems due to spatial resolution and array gain techniques. By assuming a dominant line-of-sight environment in a massive multiple-input multiple-output scenario, we derive analytical expressions for the sum-capacity. Then, we show that convenient simplifications on the sum-capacity expressions are possible when working at low and high signal-to-noise ratio regimes. Furthermore, in the case of low and high signal-to-noise ratio regimes, it is demonstrated that the Gamma probability density function can approximate the probability density function of the instantaneous channel sum-capacity as the number of served devices and base station antennas grows, respectively. A second important demonstration presented in this work is that a Gamma probability density function can also be used to approximate the probability density function of the summation of the channel’s singular values as the number of devices increases. Finally, it is important to highlight that the presented framework is useful for a massive number of Internet of Things devices as we show that the transmit power of each device can be made inversely proportional to the number of base station antennas. View Full-Text
Keywords: massive MIMO; channel capacity; dense networks; outage probability massive MIMO; channel capacity; dense networks; outage probability
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MDPI and ACS Style

de Figueiredo, F.A.P.; Dias, C.F.; de Lima, E.R.; Fraidenraich, G. Capacity Bounds for Dense Massive MIMO in a Line-of-Sight Propagation Environment. Sensors 2020, 20, 520. https://doi.org/10.3390/s20020520

AMA Style

de Figueiredo FAP, Dias CF, de Lima ER, Fraidenraich G. Capacity Bounds for Dense Massive MIMO in a Line-of-Sight Propagation Environment. Sensors. 2020; 20(2):520. https://doi.org/10.3390/s20020520

Chicago/Turabian Style

de Figueiredo, Felipe A.P., Claudio F. Dias, Eduardo R. de Lima, and Gustavo Fraidenraich. 2020. "Capacity Bounds for Dense Massive MIMO in a Line-of-Sight Propagation Environment" Sensors 20, no. 2: 520. https://doi.org/10.3390/s20020520

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