SCIENCE CHINA Information Sciences, Volume 59, Issue 8: 082304(2016) https://doi.org/10.1007/s11432-015-5476-6

## Performance analysis of MIMO systems with arbitrary number transmit antenna selection and OSTBC in the presence of imperfect CSI

Xiangbin YU1,2,*,
• AcceptedAug 30, 2015
• PublishedApr 8, 2016
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### Abstract

In this paper, the performance analysis of MIMO systems with arbitrary number transmit antenna selection (TAS) and orthogonal space-time block coding (STBC) in Rayleigh fading channels for imperfect channel state information (CSI) is presented. For the performance analysis, the moment generating function of the system effective SNR as well as its upper and lower bounds are derived. Then, accurate and approximate expressions of bit error rate (BER) of MIMO-TAS-STBC with MPSK and MQAM are further derived. Using the approximate BER formula and imperfect CSI, an adaptive antenna selection scheme is developed for minimizing the BER. The diversity gain and coding gain are analyzed at high SNR. The results indicate that the MIMO-TAS-STBC for imperfect CSI can only achieve partial diversity order $KN$ and the coding gain is affected by $K$, $N$, code rate, modulation pattern, and channel correlation coefficients, when $K$ transmit antennas are selected and $N$ receive antennas are used. Simulation results show that the theoretical analysis matches the simulation result well, and the approximate expressions are close to the accurate ones but have a lower complexity.

### Acknowledgment

Acknowledgments

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61172077, 61571225), Qing Lan Project of Jiangsu, City University of Hong Kong (Grant No. 7002763), and Shenzhen Strategic Emerging Industry Development Funds (Grant No. JSGG20150331160845693).

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