An algebraic tool for obtaining conditional non-vanishing determinants

Camilla Hollanti*, Hsiao-Feng Lu, Roope Vehkalahti

*Corresponding author for this work

研究成果: Conference contribution同行評審

3 引文 斯高帕斯(Scopus)

摘要

An algebraic tool from the theory of central simple algebras is proposed to obtain families of complex matrices satisfying the conditional non-vanishing determinant (CNVD) property. Such property is of great use in e.g. the design of multiuser space-time (ST) codes, in which context it is not always crucial for the transmission matrix to be invertible. On the other hand, whenever it is invertible, it is important that it has a non-vanishing determinant. Also any submatrix of any subset of users multiplied with its transpose conjugate should preferably have a non-vanishing determinant, provided it is non-zero. In recent submissions by Lu et al. it has been shown that, with suitable multiplexing, such property yields a construction of space-time codes that achieve the optimal diversity-multiplexing tradeoff (DMT) of the multipleinput multiple-output (MIMO) multiple access channel (MAC) and outperform the previously known ST codes.

原文English
主出版物標題2009 IEEE International Symposium on Information Theory, ISIT 2009
頁面1388-1392
頁數5
DOIs
出版狀態Published - 19 十一月 2009
事件2009 IEEE International Symposium on Information Theory, ISIT 2009 - Seoul, Korea, Republic of
持續時間: 28 六月 20093 七月 2009

出版系列

名字IEEE International Symposium on Information Theory - Proceedings
ISSN(列印)2157-8102

Conference

Conference2009 IEEE International Symposium on Information Theory, ISIT 2009
國家Korea, Republic of
城市Seoul
期間28/06/093/07/09

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