Energy Efficiency Maximizing with Power Allocation for Multi-user MIMO Systems Based on GZI Precoding

  • Feng Tian
  • Yue Yu
  • Tingting Zhao
  • Dapeng Li
  • Lin Gao
  • Zhen YangEmail author
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 463)


This paper investigates the problem of energy efficiency with power allocation for multi-user MIMO systems. Based on a practical power consumption model, the optimal transmit powers of the MU-MIMO downlink system are derived in the form of analytical expressions in order to maximize energy efficiency with satisfying quality of service requirements. Reducing the dimensions of variables and applying the properties of the Lambert function to solve the equations with the log function, this study solves the highly complicated optimization problem by deliberately manipulating the Lagrange function. Hence, a closed-form solution to the energy efficiency maximization problem for MU-MIMO systems is eventually achieved. Simulation results validate the efficacy of the proposed optimization scheme.


Energy efficiency Multi-user MIMO GZI precoding Lagrange Multiplier method Lambert function Power allocation 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Feng Tian
    • 1
  • Yue Yu
    • 1
  • Tingting Zhao
    • 1
  • Dapeng Li
    • 1
  • Lin Gao
    • 2
  • Zhen Yang
    • 1
    Email author
  1. 1.Key Lab of Broadband Wireless Communication and Sensor Network TechnologyNanjing University of Posts and Telecommunications, Ministry of EducationNanjingChina
  2. 2.School of Electronic EngineeringHarbin Institute of TechnologyShenzhenChina

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