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Journal of Computer Networks and Communications
Volume 2017, Article ID 1837210, 8 pages
Research Article

Grassmannian Constellation Based on Antipodal Points and Orthogonal Design and Its Simplified Detecting Algorithm

1School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan National Laboratory for Optoelectronics, Wuhan, Hubei 430074, China
2Department of Electronics and Information, Research Institute of Huazhong University of Science and Technology in Shenzhen, Shenzhen, Guangdong 518057, China
3School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

Correspondence should be addressed to Li Peng; nc.ude.tsuh@ilgnep

Received 29 September 2016; Revised 13 December 2016; Accepted 15 February 2017; Published 3 April 2017

Academic Editor: Lixin Gao

Copyright © 2017 Li Peng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study presents a framework of the unitary space time modulation (USTM) constellation based on antipodal points over Grassmannian manifold. The antipodal constellation enables an intrinsic simplified ML detecting algorithm. The algebraic orthogonal USTM constellation is also an antipodal constellation which, apart from being adaptive to the antipodal simplified ML detector, also has another simplified ML detector based on its self-indexing features, and the latter is simpler because of getting rid of the matrix operation. A searching orthogonal USTM constellation based on the grid search algorithm is obtained under the presented framework and its minimum Frobenius chordal distance and simulation performance are be superior to those of the algebraic orthogonal USTM constellation.