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Average Transmit Power of Adaptive ZF Very Large Multi-user and Multi-antenna Systems

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Abstract

In this paper, we investigate adaptive zero-forcing uplink transmission for very large multi-user multi-antenna systems in Rayleigh fading environments. We assume that the number of antennas at the base station (denoted as \(M\)) is not less than the number of users (denoted as \(K\)) with each having single antenna, and power control can be done at the transmitter(s) as channel condition changes. Under constraints of individual rates and maximum transmit powers, we adopt the optimal transmit strategy of minimizing the total average transmit power (ATP). We derive and give individual ATP expressions for each link with short- and long-term rate constraints, respectively. Numerical results show that the individual ATP for each link with short term rate constraint is quite close to its long term counterpart when \(M-K\) is large, and its corresponding outage probability can be designed to be nearly zero at the same time. Finally, we present two simple adaptive transmission schemes with constant transmit power satisfying short- and long-term rate constraints, respectively. Both of them are easy to implement, and asymptotically optimal when \(M-K\) grows without bound.

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Author information

Authors and Affiliations

  1. College of Information Science and Technology, Dalian Maritime University, Dalian, 116026, Liaoning, China

    Dian-Wu Yue

  2. School of Engineering and Technology, University of Hertfordshire, College Lane, Hatfield, Herts, AL10 9AB, UK

    Yichuang Sun

Authors
  1. Dian-Wu Yue
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  2. Yichuang Sun
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Corresponding author

Correspondence to Dian-Wu Yue.

Additional information

This work was presented in part at the 9th European Wireless Conference, Guildford, UK, April 16–18, 2013. This work was supported in part by the Scheme of Research Exchanges with China and India, the Royal Academy of Engineering, the Specialized Research Fund for the Doctoral Program of Higher Education under Grant 20132125110006, the National Natural Science Foundation of China under Grant 61371091 and 61301228, and the Fundamental Research Funds for the Central Universities under Grant 3132013334.

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Yue, DW., Sun, Y. Average Transmit Power of Adaptive ZF Very Large Multi-user and Multi-antenna Systems. Wireless Pers Commun 81, 1215–1232 (2015). https://doi.org/10.1007/s11277-014-2180-6

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  • DOI: https://doi.org/10.1007/s11277-014-2180-6

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