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Effect of Pilot Contamination Over Diversity Gain in Multi-cell MU-MIMO Systems

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Abstract

In this paper, we investigate the diversity performance of multi-cell multi-user multiple-input multiple-output wireless system with linear minimum mean-squared error receiver. We consider imperfect channel state information at the receiver, and in particular we focus on the effect of pilot contamination. With the equivalent channel model, we study the outage probability of the uplink transmission, and mathematically analyze the diversity performance. We successfully derive the closed-form expression of the outage probability in finite signal to noise ratio (SNR) regime, and then the optimal pilot-to-data power ratio is studied. It is proved that due to pilot contamination, diversity gain approaches to zero with the SNR growing to positive infinite.

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Acknowledgements

This work was supported in part by National Natural Science Foundation of China (NSFC) (Grant Nos. 61501113, 61372100), Jiangsu Provincial Natural Science Foundation (Grant No.BK20150630), the Science and Technology Projects of Nantong under grant BK2012024, the Fundamental Research Funds for the Central Universities, and the Hong Kong, Macao and Taiwan Science and Technology Cooperation Program of China under Grant 2014DFT10290.

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Authors and Affiliations

  1. National Mobile Communications Research Laboratory, Southeast University, Nanjing, 210096, China

    Dongming Wang, Xiaoxia Duan, Zhenling Zhao, Chunguo Li & Xiaohu You

  2. School of Electronics and Information, Nantong University, Nantong, 210096, China

    Juan Cao

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  1. Dongming Wang
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  2. Xiaoxia Duan
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  3. Juan Cao
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  4. Zhenling Zhao
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  5. Chunguo Li
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  6. Xiaohu You
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Correspondence to Dongming Wang.

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Wang, D., Duan, X., Cao, J. et al. Effect of Pilot Contamination Over Diversity Gain in Multi-cell MU-MIMO Systems. Wireless Pers Commun 95, 4807–4822 (2017). https://doi.org/10.1007/s11277-017-4125-3

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