An elementary condition for non-norm elements for QAM and HEX signals

被引：1

作者：

Guo, Xiaoyong ^{[1
]}

Xia, Xiang-Gen ^{[1
]}

机构：

[1] Univ Delaware, Dept Elect & Comp Engn, Newark, DE 19716 USA

来源：

2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7 | 2007年

关键词：

D O I：

10.1109/ISIT.2007.4557454

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Cyclic division algebra (CDA) has recently become a major technique to construct space-time block codes with nonvanishing determinant (NVD). One of the key steps in this technique is the determination of non-norm elements and a sufficient condition for the determination has been given by Kiran and Rajan lately based on algebraic number theory. In this paper, based on Kiran and Rajan's condition, we present a more elementary condition for non-norm elements when signals are QAM, i.e., in Z[i], or HEX, i.e., Z[j], which is easier to check. With this elementary condition, non-norm elements with smaller absolute values than the existing ones can be found.

引用

页码：1621 / 1625

页数：5

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