Single-Symbol Maximum Likelihood Decodable Linear STBCs

Details Single-Symbol Maximum Likelihood Decodable Linear STBCs Single-Symbol Maximum Likelihood Decodable Linear STBCs

2006-02-08

arxiv.org/abs/cs/0602030v1

Computer Science

Information Theory

38 pages, 9 Figures, accepted for publication in IEEE Trans. Information Theory, 2006

Scientific paper

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.

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