Optimal Energy-efficient Design for Two-hop Massive MIMO Relaying Systems with Multi-pair Users

WANG Yi; LIN Yan; HUANG Yongming; LI Chunguo; YANG Luxi

doi:10.11999/JEIT160245

Volume 39 Issue 1

Jan. 2017

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WANG Yi, LIN Yan, HUANG Yongming, LI Chunguo, YANG Luxi. Optimal Energy-efficient Design for Two-hop Massive MIMO Relaying Systems with Multi-pair Users[J]. Journal of Electronics & Information Technology, 2017, 39(1): 1-8. doi: 10.11999/JEIT160245

Citation:

WANG Yi, LIN Yan, HUANG Yongming, LI Chunguo, YANG Luxi. Optimal Energy-efficient Design for Two-hop Massive MIMO Relaying Systems with Multi-pair Users[J]. Journal of Electronics & Information Technology, 2017, 39(1): 1-8. doi: 10.11999/JEIT160245

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Optimal Energy-efficient Design for Two-hop Massive MIMO Relaying Systems with Multi-pair Users

doi: 10.11999/JEIT160245

Funds:

The National 863 Program of China (2015AA01A703), The National Natural Science Foundation of China (61372101, 61271018, 61671144), Research Project of Jiangsu Province (BE2015156), The Natural Science Research Project of Jiangsu Province for Colleges and Universities (16KJB510008)

Received Date: 2016-03-17
Rev Recd Date: 2016-08-03
Publish Date: 2017-01-19

Abstract

Abstract

The optimal system design based on maximizing the Energy Efficiency (EE) is investigated for the multi- pair massive Multiple-Input Multiple-Output (MIMO) relaying system. By virtue of the law of large numbers, an analytical expression of the involved EE function is derived with respect to the transmit power at the users and the relay, and the antenna number of the relay, when the Maximum Ratio Combining Maximum Ratio Transmission (MRC/MRT) precoding is adopted at the relay. The existences of a unique globally optimal transmit power vector and a unique globally optimal antenna number at relay are demonstrated separately by exploring the properties of the EE function. In order to obtain the optimal transmit power vector, the original fractional optimization problem is first transformed into an equivalent subtractive form by using the properties of fractional programming. Then, a low-complexity iterative algorithm is developed and the closed-form solution is deduced. Regarding the optimal number of relay antennas, a closed-form solution is also achieved by use of the Lambert W function. Numerical simulations show that the proposed power optimization algorithm converges to a near optimal solution only with a few numbers of iterations and the provided closed-form solution to the optimal number of relay antennas is also accurate.
- Massive MIMO,
- Two-hop relay,
- Energy Efficiency (EE),
- Transmit power,
- Number of antennas

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References(26)

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