Richardson method based linear precoding with low complexity for massive MIMO systems

Zhaohua Lu; Jiaqi Ning; Yi Zhang; Tian Xie; Wenqian Shen

doi:10.1109/VTCSpring.2015.7146060

Richardson method based linear precoding with low complexity for massive MIMO systems

Zhaohua Lu, Jiaqi Ning, Yi Zhang, Tian Xie, Wenqian Shen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

17 Citations (Scopus)

Abstract

For massive MIMO system with hundreds of antennas at the base station (BS), zero forcing (ZF) precoding can achieve the near-optimal capacity due to the asymptotically orthogonal channel, but it involves complicated matrix inversion of large size. In this paper, we propose a Richardson Method (RM) based precoding to avoid the complicated matrix inversion in an iterative way, which can reduce the complexity by one order of magnitude. We also prove that the optimal relaxation parameter to RM can be approached by a simple and quantified value to maximize the convergence rate of RM-based precoding, which only depends on the number of BS antennas and the number of users. Simulation results show that RM-based precoding can achieve the near-optimal performance of ZF precoding with only a small number of iterations.

Original language	English
Title of host publication	2015 IEEE 81st Vehicular Technology Conference, VTC Spring 2015 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781479980888
DOIs	https://doi.org/10.1109/VTCSpring.2015.7146060
Publication status	Published - 1 Jul 2015
Externally published	Yes
Event	81st IEEE Vehicular Technology Conference, VTC Spring 2015 - Glasgow, United Kingdom Duration: 11 May 2015 → 14 May 2015

Publication series

Name	IEEE Vehicular Technology Conference
Volume	2015
ISSN (Print)	1550-2252

Conference

Conference	81st IEEE Vehicular Technology Conference, VTC Spring 2015
Country/Territory	United Kingdom
City	Glasgow
Period	11/05/15 → 14/05/15

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10.1109/VTCSpring.2015.7146060

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Lu, Z., Ning, J., Zhang, Y., Xie, T., & Shen, W. (2015). Richardson method based linear precoding with low complexity for massive MIMO systems. In 2015 IEEE 81st Vehicular Technology Conference, VTC Spring 2015 - Proceedings Article 7146060 (IEEE Vehicular Technology Conference; Vol. 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/VTCSpring.2015.7146060

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title = "Richardson method based linear precoding with low complexity for massive MIMO systems",

abstract = "For massive MIMO system with hundreds of antennas at the base station (BS), zero forcing (ZF) precoding can achieve the near-optimal capacity due to the asymptotically orthogonal channel, but it involves complicated matrix inversion of large size. In this paper, we propose a Richardson Method (RM) based precoding to avoid the complicated matrix inversion in an iterative way, which can reduce the complexity by one order of magnitude. We also prove that the optimal relaxation parameter to RM can be approached by a simple and quantified value to maximize the convergence rate of RM-based precoding, which only depends on the number of BS antennas and the number of users. Simulation results show that RM-based precoding can achieve the near-optimal performance of ZF precoding with only a small number of iterations.",

author = "Zhaohua Lu and Jiaqi Ning and Yi Zhang and Tian Xie and Wenqian Shen",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 81st IEEE Vehicular Technology Conference, VTC Spring 2015 ; Conference date: 11-05-2015 Through 14-05-2015",

year = "2015",

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doi = "10.1109/VTCSpring.2015.7146060",

language = "English",

series = "IEEE Vehicular Technology Conference",

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Lu, Z, Ning, J, Zhang, Y, Xie, T & Shen, W 2015, Richardson method based linear precoding with low complexity for massive MIMO systems. in 2015 IEEE 81st Vehicular Technology Conference, VTC Spring 2015 - Proceedings., 7146060, IEEE Vehicular Technology Conference, vol. 2015, Institute of Electrical and Electronics Engineers Inc., 81st IEEE Vehicular Technology Conference, VTC Spring 2015, Glasgow, United Kingdom, 11/05/15. https://doi.org/10.1109/VTCSpring.2015.7146060

Richardson method based linear precoding with low complexity for massive MIMO systems. / Lu, Zhaohua; Ning, Jiaqi; Zhang, Yi et al.
2015 IEEE 81st Vehicular Technology Conference, VTC Spring 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. 7146060 (IEEE Vehicular Technology Conference; Vol. 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Richardson method based linear precoding with low complexity for massive MIMO systems

AU - Lu, Zhaohua

AU - Ning, Jiaqi

AU - Zhang, Yi

AU - Xie, Tian

AU - Shen, Wenqian

PY - 2015/7/1

Y1 - 2015/7/1

N2 - For massive MIMO system with hundreds of antennas at the base station (BS), zero forcing (ZF) precoding can achieve the near-optimal capacity due to the asymptotically orthogonal channel, but it involves complicated matrix inversion of large size. In this paper, we propose a Richardson Method (RM) based precoding to avoid the complicated matrix inversion in an iterative way, which can reduce the complexity by one order of magnitude. We also prove that the optimal relaxation parameter to RM can be approached by a simple and quantified value to maximize the convergence rate of RM-based precoding, which only depends on the number of BS antennas and the number of users. Simulation results show that RM-based precoding can achieve the near-optimal performance of ZF precoding with only a small number of iterations.

AB - For massive MIMO system with hundreds of antennas at the base station (BS), zero forcing (ZF) precoding can achieve the near-optimal capacity due to the asymptotically orthogonal channel, but it involves complicated matrix inversion of large size. In this paper, we propose a Richardson Method (RM) based precoding to avoid the complicated matrix inversion in an iterative way, which can reduce the complexity by one order of magnitude. We also prove that the optimal relaxation parameter to RM can be approached by a simple and quantified value to maximize the convergence rate of RM-based precoding, which only depends on the number of BS antennas and the number of users. Simulation results show that RM-based precoding can achieve the near-optimal performance of ZF precoding with only a small number of iterations.

UR - https://www.scopus.com/pages/publications/84940385659

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DO - 10.1109/VTCSpring.2015.7146060

M3 - Conference contribution

AN - SCOPUS:84940385659

T3 - IEEE Vehicular Technology Conference

BT - 2015 IEEE 81st Vehicular Technology Conference, VTC Spring 2015 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 81st IEEE Vehicular Technology Conference, VTC Spring 2015

Y2 - 11 May 2015 through 14 May 2015

ER -

Richardson method based linear precoding with low complexity for massive MIMO systems

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