SPACE-TIME BLOCK CODES FROM NONASSOCIATIVE DIVISION ALGEBRAS

被引:14
|
作者
Pumpluen, Susanne [1 ]
Unger, Thomas [2 ]
机构
[1] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England
[2] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
关键词
Space-time block codes; nonassociative division algebras; full diversity; PERFECT SPACE; DIVERSITY;
D O I
10.3934/amc.2011.5.449
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully diverse 2 x 2, 2 x 4 multiblock and 4 x 4 STBCs are designed, employing nonassociative quaternion division algebras.
引用
收藏
页码:449 / 471
页数:23
相关论文
共 50 条
  • [1] THE NONASSOCIATIVE ALGEBRAS USED TO BUILD FAST-DECODABLE SPACE-TIME BLOCK CODES
    Pumpluen, Susanne
    Steele, Andrew
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2015, 9 (04) : 449 - 469
  • [2] Quadratic Forms and Space-Time Block Codes From Generalized Quaternion and Biquaternion Algebras
    Unger, Thomas
    Markin, Nadya
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (09) : 6148 - 6156
  • [3] HOW TO OBTAIN DIVISION ALGEBRAS USED FOR FAST-DECODABLE SPACE-TIME BLOCK CODES
    Pumpluen, Susanne
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2014, 8 (03) : 323 - 342
  • [4] Fast-Decodable Asymmetric Space-Time Codes From Division Algebras
    Vehkalahti, Roope
    Hollanti, Camilla
    Oggier, Frederique
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2012, 58 (04) : 2362 - 2385
  • [5] Construction of Space-Time Block Codes Based on Abelian Algebras
    Barzegar, Farhad
    Kiani, Dariush
    Khodaiemehr, Hassan
    2021 52ND ANNUAL IRANIAN MATHEMATICS CONFERENCE (AIMC), 2021, : 50 - 52
  • [6] On Space-Time Block Codes from Complex Orthogonal Designs
    Weifeng Su
    Xiang-Gen Xia
    Wireless Personal Communications, 2003, 25 : 1 - 26
  • [7] On space-time block codes from complex orthogonal designs
    Su, WF
    Xia, XG
    WIRELESS PERSONAL COMMUNICATIONS, 2003, 25 (01) : 1 - 26
  • [8] Orthogonal space-time block codes with feedback
    Ganesan, G
    Stoica, P
    Larsson, EG
    WIRELESS PERSONAL COMMUNICATIONS, 2004, 28 (04) : 287 - 312
  • [9] Orthogonal Space-Time Block Codes with Feedback
    Girish Ganesan
    Petre Stoica
    Erik G. Larsson
    Wireless Personal Communications, 2004, 28 : 287 - 312
  • [10] Improved Perfect Space-Time Block Codes
    Srinath, K. Pavan
    Rajan, B. Sundar
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2013, 59 (12) : 7927 - 7935