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IEEE Transactions on Information Theory, Vol. 49, No. 10. (October 2003), pp. 2757-2760, doi:10.1109/tit.2003.818023 Key: citeulike:12096783
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The critical design criterion for space-time codes in asymptotically good channels is the minimum rank between codeword pairs. Rank codes are a two-dimensional matrix code construction where by the rank is the metric of merit. We look at the application of rank codes to space-time code design. In particular, we provide construction methods of full-rank codes over different complex signal constellations, for arbitrary numbers of antennas, and codeword periods. We also derive a Singleton-type bound on the rate of a code for the rank metric, and we show that rank codes satisfy this bound with equality.
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