基于成對用戶大規(guī)模MIMO兩跳中繼系統(tǒng)的最優(yōu)能效設(shè)計(jì)

王毅; 林艷; 黃永明; 李春國; 楊綠溪

doi:10.11999/JEIT160245

基于成對用戶大規(guī)模MIMO兩跳中繼系統(tǒng)的最優(yōu)能效設(shè)計(jì)

doi: 10.11999/JEIT160245 cstr: 32379.14.JEIT160245

基金項(xiàng)目:

國家863計(jì)劃項(xiàng)目(2015AA01A703)，國家自然科學(xué)基金(61372101, 61271018, 61671144) ，江蘇省科技計(jì)劃項(xiàng)目(BE2015156)，江蘇省高校自然科學(xué)研究面上項(xiàng)目(16KJB510008)

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出版歷程
- 收稿日期: 2016-03-17
- 修回日期: 2016-08-03
- 刊出日期: 2017-01-19

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

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)

摘要

摘要: 該文針對成對用戶大規(guī)模MIMO中繼系統(tǒng)，研究了最優(yōu)能效準(zhǔn)則下的系統(tǒng)參數(shù)設(shè)計(jì)。在中繼采用最大比合并/最大比發(fā)射(MRC/MRT)預(yù)編碼方案下，借助于大數(shù)定律，推導(dǎo)出能效函數(shù)關(guān)于用戶發(fā)射功率、中繼發(fā)射功率和中繼天線數(shù)的解析表達(dá)式。根據(jù)能效函數(shù)性質(zhì)，分別證明了全局最優(yōu)發(fā)射向量和最優(yōu)天線數(shù)的存在性和唯一性。為了求解最優(yōu)發(fā)射功率，利用分?jǐn)?shù)規(guī)劃，將原優(yōu)化問題轉(zhuǎn)換為等價(jià)的減法形式，進(jìn)而提出一種新的低復(fù)雜度迭代優(yōu)化算法，并求得最優(yōu)發(fā)射功率的閉合解。對于最優(yōu)天線數(shù)，則利用Lambert W函數(shù)，得到了能效最大時(shí)的最優(yōu)天線數(shù)閉合解。通過數(shù)值仿真，驗(yàn)證了所提功率優(yōu)化算法以極少迭代次數(shù)取得了接近最優(yōu)算法的性能，并驗(yàn)證了所給出的最優(yōu)天線數(shù)閉合解的精確性。
- 大規(guī)模多輸入多輸出 /
- 兩跳中繼 /
- 能效 /
- 發(fā)射功率 /
- 天線數(shù)
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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