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Optimizing Quasi-Orthogonal STBC Through Group-Constrained Linear Transformation

Information Theory 2008-06-23 v1 math.IT

Abstract

In this paper, we first derive the generic algebraic structure of a Quasi-Orthogonal STBC (QO-STBC). Next we propose Group-Constrained Linear Transformation (GCLT) as a means to optimize the diversity and coding gains of a QO-STBC with square or rectangular QAM constellations. Compared with QO-STBC with constellation rotation (CR), we show that QO-STBC with GCLT requires only half the number of symbols for joint detection, hence lower maximum-likelihood decoding complexity. We also derive analytically the optimum GCLT parameters for QO-STBC with square QAM constellation. The optimized QO-STBCs with GCLT are able to achieve full transmit diversity, and have negligible performance loss compared with QO-STBCs with CR at the same code rate.

Keywords

Cite

@article{arxiv.0806.3324,
  title  = {Optimizing Quasi-Orthogonal STBC Through Group-Constrained Linear Transformation},
  author = {Chau Yuen and Yong Liang Guan and Tjeng Thiang Tjhung},
  journal= {arXiv preprint arXiv:0806.3324},
  year   = {2008}
}
R2 v1 2026-06-21T10:52:43.525Z