Rate of Channel Hardening of Antenna Selection Diversity Schemes and Its Implication on Scheduling

Bai, Dingqun; Mitran, Patrick; Ghassemzadeh, Saeed S.; Miller, Robert R.; Tarokh, Vahid

doi:10.1109/tit.2009.2027529

Cited by 36 publications

(33 citation statements)

References 19 publications

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“…] explore the behavior of MIMO systems in the limit of large number of antennas and observe a phenomena called channel hardening where the distribution of mutual information between input and output of the system concentrates about its mean. The same phenomena has been observed in MIMO with selecting the best transmit antenna, but with a slower rate of convergence [6]. However, to the best of our knowledge, there are few results on the behavior of mutual information in MIMO, single-input multiple-output (SIMO), or multipleinput single-output (MISO) featuring multiple antenna selection, i.e., choosing more than one transmit and/or receive antenna.…”

Section: Introductionsupporting

confidence: 62%

Limiting behavior of receive antennae selection

Hesami

Laneman

2011

2011 45th Annual Conference on Information Sciences and Systems

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Abstract-In this paper we investigate the limiting behavior of receive antenna selection in single-input multiple-output (SIMO) wireless systems when the number of receive antennas gets very large. Using results on the convergence of the trimmed mean, we show that mutual information converges in distribution to the logarithm of a folded Gaussian distribution in the limit of a large number of receive antennas. The convergent distribution also shows there is channel hardening in this scenario like SIMO maximum ratio combining. For finite number of receive antennas, , we derive the exact outage probability for SIMO with selecting the best receive antennas. This outage probability analysis is used to study the rate of convergence of the mutual information, which reveals that the rate of convergence increases with the number of selected receive antennas in medium and high SNR regimes and decreases in the low SNR regime. We also show that the multiuser scheduling gain at low SNR is proportional to the square root of number of selected receive antennas, √ , in the limit of large number of users. These results could be useful in designing next-generation wireless systems, such as 4G, where the requirements are to increase the transmission rate by increasing the number of antennas and at the same time decreasing the complexity of the system.

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Section: Introductionsupporting

confidence: 62%

Limiting behavior of receive antennae selection

Hesami

Laneman

2011

2011 45th Annual Conference on Information Sciences and Systems

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“…This means that the result is valid even when a single antenna is selected. The characterization for single transmit antenna selection can be more precisely addressed using the extreme value distribution given by Fisher-Tippet law [21]; see the studies in [24], [25] for some particular examples. Nevertheless, both the approaches lead to this conclusion that the secrecy cost vanishes as M grows large.…”

Section: B Secrecy For Free Under Antenna Selectionmentioning

confidence: 99%

On Robustness of Massive MIMO Systems against Passive Eavesdropping under Antenna Selection

Bereyhi

Asaad

Müller

et al. 2018

2018 IEEE Global Communications Conference (GLOBECOM)

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In massive MIMO wiretap settings, the base station can significantly suppress eavesdroppers by narrow beamforming toward legitimate terminals. Numerical investigations show that by this approach, secrecy is obtained at no significant cost. We call this property of massive MIMO systems "secrecy for free" and show that it not only holds when all the transmit antennas at the base station are employed, but also when only a single antenna is set active. Using linear precoding, the information leakage to the eavesdroppers can be sufficiently diminished, when the total number of available transmit antennas at the base station grows large, even when only a fixed number of them are selected. This result indicates that passive eavesdropping has no significant impact on massive MIMO systems, regardless of the number of active transmit antennas.Index Terms-Massive MIMO systems, physical layer security, antenna selection.

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“…Since the entries of Ξ are χ 2 2M variables, conventionally, the Gumbel distribution can be used to approximate the asymptotic distribution of Ξ K (1) [44]. It holds…”

Section: B Low Snr Regimementioning

confidence: 99%

Secure Communication in Uplink Transmissions: User Selection and Multiuser Secrecy Gain

Deng

Wang

Yuan

et al. 2016

IEEE Trans. Commun.

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Abstract-In this paper, we investigate secure communications in uplink transmissions, where there are a base station (BS) with M receive antennas, K mobile users each with a single antenna, and an eavesdropper with N receive antennas. The closed-form expressions of the achievable ergodic secrecy sumrates (ESSR) for a random k users selection scheme in the high and low SNR regimes are presented. It is shown that the scaling behavior of ESSR with respect to the number of served users k can be quite different under different system configurations, determined by the numbers of the BS antennas and that of the eavesdropper antennas. In order to achieve a multiuser gain, two low-complexity user selection schemes are proposed under different assumptions on the eavesdropper's channel state information (CSI). The closed-form expressions of the achievable ESSRs and the multiuser secrecy gains of the two schemes are also presented in both low and high SNR regimes. We observe that, as k increases, the multiuser secrecy gain increases, while the ESSR may decrease. Therefore, when N is much larger than M , serving one user with the strongest channel (TDMA-like) is a favourable secrecy scheme, where the ESSR scales with √ 2 log K.Index Terms-Physical layer security, ergodic secrecy rate, user selection, multiuser secrecy gain, extreme value theory.

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Rate of Channel Hardening of Antenna Selection Diversity Schemes and Its Implication on Scheduling

Cited by 36 publications

References 19 publications

Limiting behavior of receive antennae selection

Limiting behavior of receive antennae selection

On Robustness of Massive MIMO Systems against Passive Eavesdropping under Antenna Selection

Secure Communication in Uplink Transmissions: User Selection and Multiuser Secrecy Gain

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