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Performance analysis and power allocation of mixed-ADC multi-cell millimeter-wave massive MIMO systems with antenna selection

带有天线选择的混合精度ADC多小区大规模MIMO毫米波系统的性能分析和功率优化

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Abstract

In this study, we consider a multi-cell millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) system with a mixed analog-to-digital converter (mixed-ADC) and hybrid beamforming architecture, in which antenna selection is applied to achieve intelligent assignment of high- and low-resolution ADCs. Both exact and approximate closed-form expressions for the uplink achievable rate are derived in the case of maximum-ratio combining reception. The impacts on the achievable rate of user transmit power, number of radio frequency chains at a base station, ratio of high-resolution ADCs, number of propagation paths, and number of quantization bits are analyzed. It is shown that the user transmit power can be scaled down inversely proportional to the number of antennas at the base station. We propose an efficient power allocation scheme by solving a complementary geometric programming problem. In addition, the energy efficiency is investigated, and an optimal tradeoff between the achievable rate and power consumption is discussed. Our results will provide a useful reference for the study of mixed-ADC multi-cell mmWave massive MIMO systems with antenna selection.

概要

大规模MIMO和毫米波是5G的两个关键技术。其中大规模MIMO技术能充分挖掘空间资源,在不增加时频资源的情况下显著提高无线通信系统的频谱效率和能量效率;同时,毫米波频段由于具有大量的带宽资源受到了人们的青睐。这两个关键技术带来性能提升的同时也带来了一些问题。在大规模MIMO系统中,每个基站要配备上百根天线,同时也要配备与天线数量相对应的射频、ADC等硬件设施,导致基站的功耗和成本急剧增加。采用毫米波频段进行通信的问题是路径损耗大、穿透能力差等。本文针对大规模MIMO和毫米波存在的问题,提出一系列解决方法,为大规模MIMO和毫米波的实际应用提供了一定的理论基础。

在多小区大规模MIMO毫米波系统中,发送端和接收端均采用了模数混合波束成形技术以克服毫米波频段带来的路径损耗问题,并通过减少用户和基站端射频链的数量降低终端的成本和功耗。在发送端,本文考虑了一个通信小区和N个干扰小区,每个用户具有Nt根发送天线,但只有1根射频链;在接收端,基站具有Nr根天线为Nu个用户提供服务,同时,基站端配备了NRF根射频链和一个混合精度ADC架构。其中有NRF0根射频链连接高精度ADC,NRF1根射频链连接低精度ADC。此外,本文还考虑在基站端配备天线选择模块,该模块的作用是动态地选择出信道条件好的射频链并令其连接高精度ADC使有限的高精度ADC获得最大利用率。

通过严密的数学推导,得到了本文所研究系统上行可达速率的闭式表达式。速率计算结果表明:(1)在混合精度ADC架构下,无限增加用户的发送功率会使上行可达速率趋于一个定值;(2)采用全精度ADC替代混合精度ADC架构且基站端天线数目趋于无穷大,可达速率不会趋于无穷大,而会趋于一个与毫米波信号多径数目有关的定值;(3)当射频链和毫米波信号多径数目与基站端天线数目成正比,用户发送功率与基站端天线数目成反比且基站端天线数目趋于无穷大时,用户可达速率会趋于一个定值。此外,针对得出的闭式表达式以及不能通过简单增加发送功率以增强用户的可达速率等结论,本文提出了一种性能优化算法。该算法能够在发送功率一定的前提下,最大化系统的可达速率。

对计算得到的可达速率的闭式表达式进行仿真分析。首先通过闭式表达式与真实仿真结果的对比证明了本文所得到的闭式表达式的正确性。然后通过仿真结果证明了在基站端采用天线选择模块能显著提升系统的频谱效率。最后对系统的能量效率进行了计算与仿真,得出了系统能量效率随低精度ADC量化精度的变化趋势以及频谱效率和能量效率的最佳折中点。

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Authors

Contributions

Tao ZHOU and Jiayi ZHANG designed the research. Tao ZHOU and Guichao CHEN drafted the manuscript. Cheng-xiang WANG, Liu LIU, and Yiqun LIANG helped organize the manuscript. Tao ZHOU and Jiayi ZHANG revised and finalized the paper.

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Correspondence to Jiayi Zhang  (章嘉懿).

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Compliance with ethics guidelines

Tao ZHOU, Guichao CHEN, Cheng-xiang WANG, Jiayi ZHANG, Liu LIU, and Yiqun LIANG declare that they have no conflict of interest.

Project supported by the National Key R&D Program of China (No. 2018YFB1801101), the National Natural Science Foundation of China (Nos. 62071031 and 61960206006), the Beijing Municipal Natural Science Foundation, China (No. 4212006), the Center of National Railway Intelligent Transportation System Engineering and Technology, China Academy of Railway Sciences (Nos. RITS2019KF01 and 2019YJ188), the Research Fund of the National Mobile Communications Research Laboratory, Southeast University, China (Nos. 2020B01 and 2021D01), the Fundamental Research Funds for the Central Universities, China (No. 2242020R30001), the Huawei Cooperation Project, China, and the EU H2020 RISE TESTBED2 Project (No. 872172)

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Zhou, T., Chen, G., Wang, Cx. et al. Performance analysis and power allocation of mixed-ADC multi-cell millimeter-wave massive MIMO systems with antenna selection. Front Inform Technol Electron Eng 22, 571–585 (2021). https://doi.org/10.1631/FITEE.2000509

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  • DOI: https://doi.org/10.1631/FITEE.2000509

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