Limited-shift-full-rank matrices with applications in asynchronous cooperative communications

Yue Shang*, Xiang Gen Xia

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Shift-full-rank (SFR) matrices are matrices that have full row rank no matter how their rows are shifted. SFR matrices have been used lately as generator matrices for a family of space-time trellis codes to achieve full diversity in asynchronous cooperative communications, where the numbers of columns of the SFR matrices correspond to the memory sizes of the trellis codes and an upper bound is assumed for all the possible delays during each packet (frame) transmission. In this paper, we study a variation of SFR matrices with relaxed conditions: limited-shift-full-rank (LT-SFR) matrices, i.e., the matrices that keep full row rank when the shifts of their rows are within some range called delay tolerance. As the generator matrices for the previously proposed space-time trellis codes, LTSFR matrices can already guarantee asynchronous full diversity of the corresponding codes.

Original languageEnglish
Title of host publicationIEEE GLOBECOM 2007 - 2007 IEEE Global Telecommunications Conference, Proceedings
Pages1395-1399
Number of pages5
DOIs
Publication statusPublished - 2007
Externally publishedYes
Event50th Annual IEEE Global Telecommunications Conference, GLOBECOM 2007 - Washington, DC, United States
Duration: 26 Nov 200730 Nov 2007

Publication series

NameGLOBECOM - IEEE Global Telecommunications Conference

Conference

Conference50th Annual IEEE Global Telecommunications Conference, GLOBECOM 2007
Country/TerritoryUnited States
CityWashington, DC
Period26/11/0730/11/07

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