Improved Relay Selection for MIMO-SDM Cooperative Communications

In this paper, we propose two relay selection algorithms based on the signal-to-noise ratio (SNR) and the eigenvalue which achieve improved bit error rate (BER) performance compared with the previous one based on the mean square error (MSE) at the same co

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Abstract In this paper, we propose two relay selection algorithms based on the signal-to-noise ratio (SNR) and the eigenvalue which achieve improved bit error rate (BER) performance compared with the previous one based on the mean square error (MSE) at the same complexity order. Keywords Cooperative communication

 Relay selection  MIMO  SDM

1 Introduction The modern wireless communication is developing very fast in order to meet the human demand for high-speed data access. The last decade has witnessed various successful developments in the air interface technology. The most important development is probably the multiple-input multiple-output (MIMO) transmission [1]. MIMO transmission systems can be implemented in the form of either the transmit diversity [2] or spatial division multiplexing (SDM) [3]. The aim of the transmit diversity is to achieve diversity gain in order to reduce the bit error rate (BER) and thus increasing the link reliability. This transmit diversity scheme is also known as the space–time block code [2]. The MIMO-SDM systems, on the other hand, aim at achieving multiplexing gain in order to increase the spectral efficiency. For a centralized MIMO system where multiple antennas are placed at the transmitter and the receiver, it was shown in [4] that there is a trade-off between the diversity and multiplexing gain. This means that the centralized D. H. Vu (&)  Q. T. Do  X. N. Tran Le Quy Don Technical University, 236 Hoang Quoc Viet, Cau Giay, Ha Noi, Vietnam V. N. Q. Bao Post and Telecommunications Institute of Technology, 11 Nguyen Dinh Chieu Str., District 1, Ho Chi Minh City, Vietnam

J. J. (Jong Hyuk) Park et al. (eds.), Multimedia and Ubiquitous Engineering, Lecture Notes in Electrical Engineering 240, DOI: 10.1007/978-94-007-6738-6_113, Ó Springer Science+Business Media Dordrecht(Outside the USA) 2013

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MIMO systems do not achieve full diversity and multiplexing gain at the same time. In order to achieve both diversity and multiplexing gain, a so-called MIMOSDM cooperative communication system was proposed in [5]. In this work the authors proposed three distributed relay selection schemes and a linear minimum mean square error (MMSE) combining scheme which achieve full diversity and full multiplexing gain at the same time. Among the three proposed selection algorithms based on maximum channel matrix norm, maximum channel harmonic mean, and minimum MSE, the MSE-based algorithm was shown to achieve the best BER performance [5]. In this paper, based on the idea of [6] for the case of MIMO-SDM, we developed two relay selection algorithms based on the signal to noise ratio (SNR) and eigenvalue. The two proposed algorithms have improved BER performance over the MSE-based algorithm while requiring the same complexity order.

2 System Model We consider a MIMO-SDM cooperative communication network similar to [5] as illustrated in Fig. 1. The network consists of a source and a destination communicating with each other with the help of a relay node via a relaying pa