Capacity-achieving MIMO-NOMA : iterative LMMSE detection

This paper considers a low-complexity iterative Linear Minimum Mean Square Error (LMMSE) multi-user detector for the Multiple-Input and Multiple-Output system with Non-Orthogonal Multiple Access (MIMO-NOMA), where multiple single-antenna users simultaneously communicate with a multiple-antenna ba...

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Main Authors: Liu, Lei, Chi, Yuhao, Yuen, Chau, Guan, Yong Liang, Li, Ying
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2020
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Online Access:https://hdl.handle.net/10356/137251
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1372512020-03-11T07:36:52Z Capacity-achieving MIMO-NOMA : iterative LMMSE detection Liu, Lei Chi, Yuhao Yuen, Chau Guan, Yong Liang Li, Ying School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Detectors MIMO-NOMA This paper considers a low-complexity iterative Linear Minimum Mean Square Error (LMMSE) multi-user detector for the Multiple-Input and Multiple-Output system with Non-Orthogonal Multiple Access (MIMO-NOMA), where multiple single-antenna users simultaneously communicate with a multiple-antenna base station (BS). While LMMSE being a linear detector has a low complexity, it has suboptimal performance in multi-user detection scenario due to the mismatch between LMMSE detection and multi-user decoding. Therefore, in this paper, we provide the matching conditions between the detector and decoders for MIMO-NOMA, which are then used to derive the achievable rate of the iterative detection. We prove that a matched iterative LMMSE detector can achieve (i) the optimal capacity of symmetric MIMO-NOMA with any number of users, (ii) the optimal sum capacity of asymmetric MIMO-NOMA with any number of users, (iii) all the maximal extreme points in the capacity region of asymmetric MIMO-NOMA with any number of users, (iv) all points in the capacity region of two-user and three-user asymmetric MIMO-NOMA systems. In addition, a kind of practical low-complexity error-correcting multiuser code, called irregular repeat-accumulate code, is designed to match the LMMSE detector. Numerical results shows that the bit error rate performance of the proposed iterative LMMSE detection outperforms the state-of-art methods and is within 0.8dB from the associated capacity limit. Accepted version 2020-03-11T07:36:52Z 2020-03-11T07:36:52Z 2019 Journal Article Liu, L., Chi, Y., Yuen, C., Guan, Y. L., & Li, Y. (2019). Capacity-achieving MIMO-NOMA : iterative LMMSE detection. IEEE Transactions on Signal Processing, 67(7), 1758–1773. doi:10.1109/TSP.2019.2896242 1053-587X https://hdl.handle.net/10356/137251 10.1109/TSP.2019.2896242 2-s2.0-85061032122 7 67 1758 1773 en IEEE Transactions on Signal Processing © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/TSP.2019.2896242. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Detectors
MIMO-NOMA
spellingShingle Engineering::Electrical and electronic engineering
Detectors
MIMO-NOMA
Liu, Lei
Chi, Yuhao
Yuen, Chau
Guan, Yong Liang
Li, Ying
Capacity-achieving MIMO-NOMA : iterative LMMSE detection
description This paper considers a low-complexity iterative Linear Minimum Mean Square Error (LMMSE) multi-user detector for the Multiple-Input and Multiple-Output system with Non-Orthogonal Multiple Access (MIMO-NOMA), where multiple single-antenna users simultaneously communicate with a multiple-antenna base station (BS). While LMMSE being a linear detector has a low complexity, it has suboptimal performance in multi-user detection scenario due to the mismatch between LMMSE detection and multi-user decoding. Therefore, in this paper, we provide the matching conditions between the detector and decoders for MIMO-NOMA, which are then used to derive the achievable rate of the iterative detection. We prove that a matched iterative LMMSE detector can achieve (i) the optimal capacity of symmetric MIMO-NOMA with any number of users, (ii) the optimal sum capacity of asymmetric MIMO-NOMA with any number of users, (iii) all the maximal extreme points in the capacity region of asymmetric MIMO-NOMA with any number of users, (iv) all points in the capacity region of two-user and three-user asymmetric MIMO-NOMA systems. In addition, a kind of practical low-complexity error-correcting multiuser code, called irregular repeat-accumulate code, is designed to match the LMMSE detector. Numerical results shows that the bit error rate performance of the proposed iterative LMMSE detection outperforms the state-of-art methods and is within 0.8dB from the associated capacity limit.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Liu, Lei
Chi, Yuhao
Yuen, Chau
Guan, Yong Liang
Li, Ying
format Article
author Liu, Lei
Chi, Yuhao
Yuen, Chau
Guan, Yong Liang
Li, Ying
author_sort Liu, Lei
title Capacity-achieving MIMO-NOMA : iterative LMMSE detection
title_short Capacity-achieving MIMO-NOMA : iterative LMMSE detection
title_full Capacity-achieving MIMO-NOMA : iterative LMMSE detection
title_fullStr Capacity-achieving MIMO-NOMA : iterative LMMSE detection
title_full_unstemmed Capacity-achieving MIMO-NOMA : iterative LMMSE detection
title_sort capacity-achieving mimo-noma : iterative lmmse detection
publishDate 2020
url https://hdl.handle.net/10356/137251
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