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
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2011年 / 5卷 / 03期
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] MIDO Space-Time Codes from Associative and Nonassociative Cyclic Algebras
    Steele, Andrew
    Pumpluen, Susanne
    Oggier, Frederique
    2012 IEEE INFORMATION THEORY WORKSHOP (ITW), 2012, : 192 - 196
  • [2] 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
  • [3] Efficient space-time codes from cyclic division algebras
    Kumar, P. Vijay
    Elia, Petros
    Vinodh, K.
    MILCOM 2006, VOLS 1-7, 2006, : 3530 - +
  • [4] Full-diversity, high-rate space-time block codes from division algebras
    Sethuraman, BA
    Rajan, BS
    Shashidhar, V
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (10) : 2596 - 2616
  • [5] Spatial division multiplexing of space-time block codes
    Rouquette-Léveil, S
    Gosse, K
    Zhuang, XY
    Vook, FW
    2003 INTERNATIONAL CONFERENCE ON COMMUNICATION TECHNOLOGY, VOL 1 AND 2, PROCEEDINGS, 2003, : 1343 - 1347
  • [6] 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
  • [7] 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
  • [8] 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
  • [9] ALGEBRAIC SPACE-TIME CODES BASED ON DIVISION ALGEBRAS WITH A UNITARY INVOLUTION
    Berhuy, Gregory
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2014, 8 (02) : 167 - 189
  • [10] Space-time block codes versus space-time trellis codes
    Sandhu, S
    Heath, R
    Paulraj, A
    2001 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS, VOLS 1-10, CONFERENCE RECORD, 2001, : 1132 - 1136
12345