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Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

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2019 IEEE 89th Vehicular Technology Conference (VTC2019-Spring). IEEE, 2019. p. 1-5.

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Conference contribution/Paper › peer-review

Hadley, L, Ding, Z & Qin, Z 2019, Capacity Analysis of Asymmetric Multi-Antenna Relay Systems Using Free Probability Theory. in *2019 IEEE 89th Vehicular Technology Conference (VTC2019-Spring).* IEEE, pp. 1-5, 89th IEEE Vehicular Technology Conference, Kuala Lumpur, Malaysia, 28/04/19. https://doi.org/10.1109/VTCSpring.2019.8746386

Hadley, L., Ding, Z., & Qin, Z. (2019). Capacity Analysis of Asymmetric Multi-Antenna Relay Systems Using Free Probability Theory. In *2019 IEEE 89th Vehicular Technology Conference (VTC2019-Spring) *(pp. 1-5). IEEE. https://doi.org/10.1109/VTCSpring.2019.8746386

Hadley L, Ding Z, Qin Z. Capacity Analysis of Asymmetric Multi-Antenna Relay Systems Using Free Probability Theory. In 2019 IEEE 89th Vehicular Technology Conference (VTC2019-Spring). IEEE. 2019. p. 1-5 Epub 2019 Apr 28. doi: 10.1109/VTCSpring.2019.8746386

@inproceedings{6978985f1f14434d8e427b22b285e1de,

title = "Capacity Analysis of Asymmetric Multi-Antenna Relay Systems Using Free Probability Theory",

abstract = "Random matrix theory (RMT) has been used to derive the asymptotic capacity of multiple-input-multiple-output (MIMO) channels by approximating the asymptotic eigenvalue distributions (AEDs) of the associated channel matrices. A novel methodology is introduced which enables the computation of the asymptotic capacity for a generalised system in which two relays cooperate to facilitate communication between two remote devices. It is computationally demanding to calculate this capacity using RMT when nodes are equipped with large-scale antenna arrays, and impossible in the case where asymmetry exists between channels within the system. This is because deriving the capacity across the combined channels from the relays to the receiver involves polynomials in large and non-commutative random matrix variables. This paper uses free probability theory (FPT) as an efficient alternative tool for analysis in these circumstances. The method described can be applied with no additional complexity for arbitrarily large antenna arrays. The minimum SNR required to achieve a given asymptotic capacity is computed and the simulation results verify the accuracy of the FPT approach.",

keywords = "Free probability, random matrices, Massive MIMO, Relay network",

author = "Lucinda Hadley and Zhiguo Ding and Zhijin Qin",

note = "{\textcopyright}2019 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. ; 89th IEEE Vehicular Technology Conference, VTC2019-Spring ; Conference date: 28-04-2019 Through 01-05-2019",

year = "2019",

month = jun,

day = "27",

doi = "10.1109/VTCSpring.2019.8746386",

language = "English",

isbn = "9781728112183",

pages = "1--5",

booktitle = "2019 IEEE 89th Vehicular Technology Conference (VTC2019-Spring)",

publisher = "IEEE",

url = "http://www.ieeevtc.org/vtc2019spring/",

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T1 - Capacity Analysis of Asymmetric Multi-Antenna Relay Systems Using Free Probability Theory

AU - Hadley, Lucinda

AU - Ding, Zhiguo

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N1 - ©2019 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

PY - 2019/6/27

Y1 - 2019/6/27

N2 - Random matrix theory (RMT) has been used to derive the asymptotic capacity of multiple-input-multiple-output (MIMO) channels by approximating the asymptotic eigenvalue distributions (AEDs) of the associated channel matrices. A novel methodology is introduced which enables the computation of the asymptotic capacity for a generalised system in which two relays cooperate to facilitate communication between two remote devices. It is computationally demanding to calculate this capacity using RMT when nodes are equipped with large-scale antenna arrays, and impossible in the case where asymmetry exists between channels within the system. This is because deriving the capacity across the combined channels from the relays to the receiver involves polynomials in large and non-commutative random matrix variables. This paper uses free probability theory (FPT) as an efficient alternative tool for analysis in these circumstances. The method described can be applied with no additional complexity for arbitrarily large antenna arrays. The minimum SNR required to achieve a given asymptotic capacity is computed and the simulation results verify the accuracy of the FPT approach.

AB - Random matrix theory (RMT) has been used to derive the asymptotic capacity of multiple-input-multiple-output (MIMO) channels by approximating the asymptotic eigenvalue distributions (AEDs) of the associated channel matrices. A novel methodology is introduced which enables the computation of the asymptotic capacity for a generalised system in which two relays cooperate to facilitate communication between two remote devices. It is computationally demanding to calculate this capacity using RMT when nodes are equipped with large-scale antenna arrays, and impossible in the case where asymmetry exists between channels within the system. This is because deriving the capacity across the combined channels from the relays to the receiver involves polynomials in large and non-commutative random matrix variables. This paper uses free probability theory (FPT) as an efficient alternative tool for analysis in these circumstances. The method described can be applied with no additional complexity for arbitrarily large antenna arrays. The minimum SNR required to achieve a given asymptotic capacity is computed and the simulation results verify the accuracy of the FPT approach.

KW - Free probability

KW - random matrices

KW - Massive MIMO

KW - Relay network

U2 - 10.1109/VTCSpring.2019.8746386

DO - 10.1109/VTCSpring.2019.8746386

M3 - Conference contribution/Paper

SN - 9781728112183

SP - 1

EP - 5

BT - 2019 IEEE 89th Vehicular Technology Conference (VTC2019-Spring)

PB - IEEE

T2 - 89th IEEE Vehicular Technology Conference

Y2 - 28 April 2019 through 1 May 2019

ER -