Construction of amicable orthogonal designs of quaternions

被引：0
|
作者：
Zhao, Ying [1 ]
Seberry, Jennifer [1 ]
Xia, Tianbing [1 ]
Wysocki, Beata J. [2 ]
Wysocki, Tadeusz A. [2 ]
机构：
[1] Univ Wollongong, Sch Software Engn & Comp Sci, Wollongong, NSW 2522, Australia
[2] Univ Wollongong, Sch Elect Comp & Telecommun Engn, Wollongong, NSW 2522, Australia
来源：
AUSTRALASIAN JOURNAL OF COMBINATORICS | 2009年 / 44卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper introduces some construction methods for amicable orthogonal designs over the real and quaternion domain which have not been explored for code design before. The proposed construction methods generate a large number of amicable orthogonal designs of quaternions. It is also shown that amicable orthogonal designs of quaternions can be used to construct restricted quaternion orthogonal designs which can be applied as orthogonal space-time-polarization block codes for wireless communications.
引用
收藏
页码：19 / 35
页数：17
相关论文
共 50 条
  • [21] Amicable sets of matrices and their applications in constructing orthogonal designs and self-dual codes
    Georgiou, S.
    Koukouvinos, C.
    UTILITAS MATHEMATICA, 2007, 73 : 65 - 79
  • [22] Novel Construction Methods of Quaternion Orthogonal Designs based on Complex Orthogonal Designs
    Mushtaq, Erum
    Ali, Sajid
    Hassan, Syed Ali
    2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2017, : 973 - 977
  • [23] Construction of orthogonal and nearly orthogonal designs for computer experiments
    Georgiou, S. D.
    Stylianou, S.
    Drosou, K.
    Koukouvinos, C.
    BIOMETRIKA, 2014, 101 (03) : 741 - 747
  • [24] Amicable orthogonal designs of order 8 for complex space-time block codes
    Zhao, Ying
    Seberry, Jennifer
    Xia, Tianbing
    Wang, Yejing
    Wysocki, Beata J.
    Wysocki, Tadeusz A.
    Tran, Le Chung
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2006, 34 : 137 - 144
  • [25] Construction of orthogonal marginally coupled designs
    Weiping Zhou
    Jinyu Yang
    Min-Qian Liu
    Statistical Papers, 2021, 62 : 1795 - 1820
  • [26] CONSTRUCTION OF ORTHOGONAL DESIGNS .2.
    KHARAGHANI, H
    ARS COMBINATORIA, 1988, 25 : 59 - 64
  • [27] Construction of orthogonal maximin distance designs
    Li, Wenlong
    Tian, Yubin
    Liu, Min-Qian
    JOURNAL OF QUALITY TECHNOLOGY, 2024, 56 (04) : 312 - 326
  • [28] Construction of orthogonal Latin hypercube designs
    Sun, Fasheng
    Liu, Min-Qian
    Lin, Dennis K. J.
    BIOMETRIKA, 2009, 96 (04) : 971 - 974
  • [29] A construction for block circulant orthogonal designs
    Kharaghani, H
    JOURNAL OF COMBINATORIAL DESIGNS, 1996, 4 (06) : 389 - 395
  • [30] Construction of orthogonal marginally coupled designs
    Zhou, Weiping
    Yang, Jinyu
    Liu, Min-Qian
    STATISTICAL PAPERS, 2021, 62 (04) : 1795 - 1820
12345