In this paper we unify and compare two high rate space-time coding constructions and layering techniques for MIMO systems. Algebraic space-time coding constructions are revisited and their relation to non-orthogonal codes (with quasiorthogonal layers) is established. We discuss the class of perfect and golden space-time block codes, consisting of the version used in IEEE 802.16e specification for a system with 2 tx and 2 rx antennas. The main contribution of the paper is to consider both algebraic and non-orthogonal space-time codes for the 4 tx and 2 rx antenna setup.
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