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Referring to Space-Time Coding (STC) in wireless MIMO communication and Gram-Schmidt procedure, we introduce a new procedure in the symbol combiner of the receiver that detects the transmitted symbols straightforward and more easily than the heuristic procedure presented by Alamouti. To find this combiner, we firstly project the vector of symbols in a two dimensional orthonormal basis, Cartesian coordinate system, and make the computation in this coordinates. Using the presented procedure, we obtain new capabilities to realize both the new combiner and a reasonable BER in the receiver.
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