Single-Symbol Maximum Likelihood Decodable Linear STBCs
<|reference_start|>Single-Symbol Maximum Likelihood Decodable Linear STBCs: Space-Time block codes (STBC) from Orthogonal Designs (OD) and Co-ordinate Interleaved Orthogonal Designs (CIOD) have been attracting wider attention due to their amenability for fast (single-symbol) ML decoding, and full-rate with full-rank over quasi-static fading channels. However, these codes are instances of single-symbol decodable codes and it is natural to ask, if there exist codes other than STBCs form ODs and CIODs that allow single-symbol coding?   In this paper, the above question is answered in the affirmative by characterizing all linear STBCs, that allow single-symbol ML decoding (not necessarily full-diversity) over quasi-static fading channels-calling them single-symbol decodable designs (SDD). The class SDD includes ODs and CIODs as proper subclasses. Further, among the SDD, a class of those that offer full-diversity, called Full-rank SDD (FSDD) are characterized and classified.<|reference_end|>
@article{khan2006single-symbol,
    title={Single-Symbol Maximum Likelihood Decodable Linear STBCs},
    author={Md. Zafar ALi Khan and B. Sundar Rajan},
    journal={arXiv preprint arXiv:cs/0602030},
    year={2006},
    archivePrefix={arXiv},
    eprint={cs/0602030},
    primaryClass={cs.IT math.IT}
}