Abstract
Rate-1/2 Complex orthogonal designs (CODs) is an important class of space-time block codes due to the fact that the decoding delay of these codes is substantially less than that of the maximal-rate CODs. Determining the least decoding delay of rate-1/2 CODs remains an important open problem. Nonetheless, a lower bound on the decoding delay of the rate-1/2 CODs with 2m columns is obtained under certain assumptions and codes have been constructed with the decoding delay meeting the lower bound for m = 1, 2 and 3 modulo 4. In this paper, it is shown that the same lower bound for the decoding delay holds even for more general class of rate-1/2 CODs. Furthermore, the construction of rate-1/2 CODs with decoding delay meeting the lower bound is provided for all m.
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