English

On the Search for High-Rate Quasi-Orthogonal Space-Time Block Code

Information Theory 2008-06-23 v1 math.IT

Abstract

A Quasi-Orthogonal Space-Time Block Code (QO-STBC) is attractive because it achieves higher code rate than Orthogonal STBC and lower decoding complexity than nonorthogonal STBC. In this paper, we first derive the algebraic structure of QO-STBC, then we apply it in a novel graph-based search algorithm to find high-rate QO-STBCs with code rates greater than 1. From the four-antenna codes found using this approach, it is found that the maximum code rate is limited to 5/4 with symbolwise diversity level of four, and 4 with symbolwise diversity level of two. The maximum likelihood decoding of these high-rate QO-STBCs can be performed on two separate sub-groups of symbols. The rate-5/4 codes are the first known QO-STBCs with code rate greater 1 that has full symbolwise diversity level.

Keywords

Cite

@article{arxiv.0806.3325,
  title  = {On the Search for High-Rate Quasi-Orthogonal Space-Time Block Code},
  author = {Chau Yuen and Yong Liang Guan and Tjeng Thiang Tjhung},
  journal= {arXiv preprint arXiv:0806.3325},
  year   = {2008}
}
R2 v1 2026-06-21T10:52:43.567Z