During the last few years a number of space-time block codes have been proposed for use in multiple transmit antennas systems. In this paper we propose a method to extend any space-time code constructed for transmit antennas to transmit antennas through group-coherent codes (GCCs). GCCs make use of very limited feedback from the receiver (as low as 1 bit). In particular the scheme can be used to extend any orthogonal code (e.g., Alamouti code) to more than two antennas while preserving low decoding complexity, full diversity benefits, and full data rate.

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