Algebraic Number Precoding for Space-Time Block Codes

We propose a space-time block coding framework based on linear precoding. The codes for P transmit antennas are formed by transmitting the information vector (with P independent information symbols) L times where each time it is rotated by a distinct precoding matrix. The framework generalizes conve...

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Bibliographic Details
Published in:	IEEE transactions on information theory Vol. 55; no. 6; pp. 2696 - 2704
Main Authors:	Zhihong Hong, Ke Liu, Boston, N., Sayeed, A.M.
Format:	Journal Article
Language:	English
Published:	New York, NY IEEE 01.06.2009 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:	Algebra Algebraic number theory Antennas Applied sciences Block codes circular matrices Codes Coding, codes Computer simulation Constellation diagram cyclotomic fields Decoding Diophantine approximation Exact sciences and technology Information theory Information, signal and communications theory Mathematical analysis Mathematical models Matrices Matrix MIMO multiple-input multiple-output (MIMO) Multiplexing Numerical simulation Performance analysis Performance evaluation Radiocommunications Signal and communications theory Simulation space-time codes spatial multiplexing Symbols Telecommunications Telecommunications and information theory Transmitters Transmitting antennas Vectors Wireless communication Performance evaluation MIMO system Algebraic number theory Block code Space-time codes cyclotomic fields Diophantine approximation Decoding multiple-input multiple-output (MIMO) Spatial multiplexing Transmitting antenna Coding circular matrices Numerical simulation space―time codes Number theory
ISSN:	0018-9448, 1557-9654
Online Access:	Get full text
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Summary:	We propose a space-time block coding framework based on linear precoding. The codes for P transmit antennas are formed by transmitting the information vector (with P independent information symbols) L times where each time it is rotated by a distinct precoding matrix. The framework generalizes conventional spatial multiplexing techniques and facilitates tradeoff between rate and diversity. We propose a simple construction for precoding matrices whose parameters are chosen to guarantee maximal diversity using algebraic number theory. Our codes exhibit circular structure, which greatly simplifies the performance analysis and facilitates linear decoding. Theoretical analysis and numerical simulations demonstrated excellent performance of the proposed algebraic precoding framework.
Bibliography:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2009.2018341