Linear threaded algebraic space-time constellations

被引:64
作者
Damen, MO [1 ]
El Gamal, H
Beaulieu, NC
机构
[1] Univ Alberta, Dept Elect & Comp Engn, ECERF, Edmonton, AB T6G 2V4, Canada
[2] Ohio State Univ, Dept Elect Engn, Columbus, OH 43210 USA
基金
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词
constant modulus; diversity-versus-rate tradeoff; maximum-likelihood (ML) decoding; multiple-input multiple-output (MIMO) channels; space-time constellations;
D O I
10.1109/TIT.2003.817423
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Space-time (ST) constellations that are linear over the field of complex numbers are, considered. Relevant design criteria for these constellations are summarized and some fundamental limits to their achievable performances are established. The fundamental tradeoff between rate and diversity is investigated under different constraints on the peak power, receiver complexity, and rate scaling with the signal-to-noise ratio (SNR). A new family of constellations that achieve optimal or near-optimal performance with respect to the different criteria is presented. The proposed constellations belong to the threaded algebraic ST (TAST) signaling framework, and achieve the optimal minimum squared Euclidean distance and the optimal delay. For systems with one receive antenna, these constellations also achieve the optimal peak-to-average power ratio for quadrature amplitude modulation (QAM) and phase-shift keying (PSK) input constellations, as well as optimal coding gains in certain scenarios. The framework is general for any number of transmit and receive antennas and allows for realizing the optimal tradeoff between rate and diversity under different constraints. Simulation results demonstrate the performance gaines offered by the proposed designs in average power and peak power limited systems.
引用
收藏
页码:2372 / 2388
页数:17
相关论文
共 33 条
[11]  
El Gamal H., 2001, Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252), DOI 10.1109/ISIT.2001.936015
[12]  
El Gamal I, 2001, IEEE T INFORM THEORY, V47, P2321, DOI 10.1109/18.945250
[13]  
FINCKE U, 1985, MATH COMPUT, V44, P463, DOI 10.1090/S0025-5718-1985-0777278-8
[14]   Algebraic tools to build modulation schemes for fading channels [J].
Giraud, X ;
Boutillon, E ;
Belfiore, JC .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1997, 43 (03) :938-952
[15]   Detection algorithm and initial laboratory results using V-BLAST space-time communication architecture [J].
Golden, GD ;
Foschini, CJ ;
Valenzuela, RA ;
Wolniansky, PW .
ELECTRONICS LETTERS, 1999, 35 (01) :14-16
[16]  
Gradshteyn I., 2000, TABLES INTEGRALS SER, DOI [10.1016/C2010-0-64839-5, DOI 10.1016/C2010-0-64839-5]
[17]  
Guey JC, 1996, 1996 IEEE 46TH VEHICULAR TECHNOLOGY CONFERENCE, PROCEEDINGS, VOLS 1-3, P136, DOI 10.1109/VETEC.1996.503423
[18]   High-rate codes that are linear in space and time [J].
Hassibi, B ;
Hochwald, BM .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (07) :1804-1824
[19]  
Lang S., 1970, ALGEBRAIC NUMBER THE
[20]  
Marcus Daniel A., 1977, Number fields