A Low Complexity Gerschgorin Circle Transmit Antenna Selection Algorithm for MIMO Systems

Hei  Yong-Qiang; Li  Xiao-Hui; Yi  Ke-Chu

doi:10.3724/SP.J.1146.2006.01366

Volume 30 Issue 5

Dec. 2010

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Hei Yong-Qiang, Li Xiao-Hui, Yi Ke-Chu. A Low Complexity Gerschgorin Circle Transmit Antenna Selection Algorithm for MIMO Systems[J]. Journal of Electronics & Information Technology, 2008, 30(5): 1193-1197. doi: 10.3724/SP.J.1146.2006.01366

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A Low Complexity Gerschgorin Circle Transmit Antenna Selection Algorithm for MIMO Systems

doi: 10.3724/SP.J.1146.2006.01366

Received Date: 2006-09-11
Rev Recd Date: 2007-02-15
Publish Date: 2008-05-19

Abstract

Abstract

This paper begins with the investigation on exhaustive search algorithm, the Gerschgorin circle algorithm, on the basis of which, a Gerschgorin circle with low complexity is presented. In the proposed algorithm, the column corresponding to the minimum eigen-value is eliminated to increase the lower bound of the eigen-values and to reduce the correlation between the antennas during each iteration, correspondingly, capacity is maximized or BER is minimized. The results of the research reveal that both the capacity and the BER performance of the proposed algorithm are better than that of the norm-based algorithm, and are close to the performance of the optimal exhaustive search algorithm with low complexity in the cases that more antennas are selected.

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References

Yu Heejung and Kim Myung-Soon. Transmit antennaselection for MIMO systems with V-BLAST typedetection[C]. Proceedings of International Symposium onIntelligent Signal Processing and Communication Systems,Vancouver, Canada, May 17-21, 2004: 634-638.[2]Kammoun K and Fontenelle F. Antenna selection for MIMOsystems based on an accurate approximation of QAM errorprobability[C][J].IEEE 61st Vehicular Technology Conference,Stockholm, Sweden, May 30-June .2005, Vol.1:206-210[3]Zhou Zhenglan and Dong Yanjie. A novel antenna selectionscheme in MIMO systems[C]. International Conference onCommunications, Circuits and Systems, Chengdu, China,June 27-29, 2004, Vol.1: 190-194.[4]Zhang Hongyuan and Dai Huaiyu. Fast transmit antennaselection algorithms for MIMO systems with fadingcorrelation[C]. IEEE 60th Vehicular Technology Conference,Los Angeles, California, USA, September 26-29, 2004, Vol.3:1638-1642.[5]Sanayei S and Nosratinia A. Capacity maximizing algorithmsfor joint transmit-receive antenna selection[C]. ConferenceRecord of the Thirty-Eighth Asilomar Conference onSignals, Systems and Computers, Pacific Grove, California,November 7-10, 2004, Vol.2: 1773-1776.[6]杨大成. 移动传播环境[M]. 北京：机械工业出版社, 2003, 第八章.Branka Vucetic and Jinhong Yuan. Space-time coding[M].Hoboken：John Wiley, 2003, Chapter 1.[7]Meyer C D. Matrix Analysis and Applied Linear Algebra[M].Philadelphia, PA：SIAM, 2000, Chapter 7.[8]徐仲，陆全等. 矩阵论简明教程[M].第二版, 北京：科学出版社, 2002, 第五章.

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