Multi-pair massive MIMO amplify-and-forward relaying system with low-resolution ADCs: performance analysis and power control

  • Qimei CuiEmail author
  • Yinjun Liu
  • Yinsheng Liu
  • Weiliang Xie
  • Yong Zhao
Research Paper


In this paper, we focus on a general multi-pair massive MIMO amplify-and-forward (AF) relaying system where the relay antennas employ low-resolution analog-to-digital converters (ADCs) to reduce the hardware cost. First, considering the effect of low quantization on channel estimation, a tight closed form approximation of the system ergodic achievable rate is derived. Second, some asymptotic analysis is presented to reveal the impacts of the system parameters on the achievable rate. Particularly, the generalized power scaling schemes are characterized. The results indicate that in some cases, when the number of relay antennas grows without bound, the impact of the finite resolution ADCs on data transmission can be eliminated. To enhance the achievable rate of the quantized systems, the optimal user and relay power control schemes are proposed. Furthermore, to reap all the benefits of low-resolution ADCs, another power control scheme is also designed to minimize the total power consumption while guaranteeing the quality-of-service (QoS) requirement of each user, which can help draw some useful insights into the optimal ADC resolution from power saving perspectives. The simulation results confirm the accuracy of our theoretical analysis and the effectiveness of the proposed power control schemes.


massive MIMO relaying system imperfect CSI low quantization power control 



The work was supported by National Nature Science Foundation of China Project (Grant Nos. 61471058, 61501376, 61601018), Key National Science Foundation of China (Grant No. 61461136002), Hong Kong, Macao and Taiwan Science and Technology Cooperation Projects (Grant No. 2016YFE0122900), 111 Project of China (Grant No. B16006), Fundamental Research Funds of Central University (Grant No. 2015RC035), and Shenzhen Science and Technology Project (Grant No. JSGG20150512153045135).


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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2017

Authors and Affiliations

  • Qimei Cui
    • 1
    Email author
  • Yinjun Liu
    • 1
  • Yinsheng Liu
    • 2
  • Weiliang Xie
    • 3
  • Yong Zhao
    • 3
  1. 1.National Engineering Laboratory for Mobile Network SecurityBeijing University of Posts and TelecommunicationsBeijingChina
  2. 2.State Key Laboratory of Rail Traffic Control and SafetyBeijing Jiaotong UniversityBeijingChina
  3. 3.China Telecom Corporation LimitedBeijingChina

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