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Background: 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 straightforwardly and more easily than the heuristic procedure presented by Alamouti. Methods: 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. Conclusion: Using the presented procedure, we obtain new capabilities to realize both the new combiner and a reasonable BER in the receiver.