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

Hadley, Lucinda and Ding, Zhiguo and Qin, Zhijin (2019) Capacity Analysis of Asymmetric Multi-Antenna Relay Systems Using Free Probability Theory. In: 2019 IEEE 89th Vehicular Technology Conference (VTC2019-Spring). IEEE, MYS, pp. 1-5. ISBN 9781728112183

[img]
Text (VTC_paper_camera_ready)
VTC_paper_camera_ready.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial.

Download (170kB)

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.

Item Type:
Contribution in Book/Report/Proceedings
Additional Information:
©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.
Subjects:
ID Code:
148970
Deposited By:
Deposited On:
18 Nov 2020 15:20
Refereed?:
Yes
Published?:
Published
Last Modified:
04 Dec 2020 07:26