Algebraic Number Precoding for Space-Time Block Codes

被引:1
作者
Hong, Zhihong [1 ]
Liu, Ke [2 ]
Boston, Nigel [3 ]
Sayeed, Akbar M. [3 ]
机构
[1] Commun Res Ctr Canada, Ottawa, ON K2H 8S2, Canada
[2] Qualcomm Inc, San Diego, CA 92121 USA
[3] Univ Wisconsin, Dept Elect & Comp Engn, Madison, WI 53706 USA
基金
美国国家科学基金会;
关键词
Algebraic number theory; circular matrices; cyclotomic fields; Diophantine approximation; multiple-input multiple-output (MIMO); space-time codes; spatial multiplexing; DIVERSITY TECHNIQUE;
D O I
10.1109/TIT.2009.2018341
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:2696 / 2704
页数:9
相关论文
共 17 条
[1]   A simple transmit diversity technique for wireless communications [J].
Alamouti, SM .
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, 1998, 16 (08) :1451-1458
[2]  
[Anonymous], 2002, Algebraic number theory and Fermat's last theorem
[3]  
Bennett MA, 2001, J REINE ANGEW MATH, V535, P1
[4]   Signal space diversity: A power- and bandwidth-efficient diversity technique for the Rayleigh fading channel [J].
Boutros, J ;
Viterbo, E .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (04) :1453-1467
[5]   Diagonal algebraic space-time block codes [J].
Damen, MO ;
Abed-Meraim, K ;
Belfiore, JC .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2002, 48 (03) :628-636
[6]   Universal space-time coding [J].
El Gamal, H ;
Damen, MO .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (05) :1097-1119
[7]  
Foschini G., 1996, BELL SYST TECH J, V1, P41
[8]  
GAMAL HE, 2002, P IEEE INT S INF THE, P132
[9]   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
[10]   Spatial multiplexing in correlated fading via the virtual channel representation [J].
Hong, ZH ;
Liu, K ;
Heath, RW ;
Sayeed, AM .
IEEE JOURNAL ON SELECTED AREAS IN COMMUNICATIONS, 2003, 21 (05) :856-866