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Orthogonal space-time block codes are a class of STBC which can achieve full diversity gain but typically loss of code rate. Quasi-orthogonal space-time code (QOSTBC) can achieve full code rate. However, they loss part of diversity gain. Generalized ABBA (GABBA) STBC is a improve QOSTBC, which can achieve full diversity gain, and also can overcome the drawback that unable to transmit with full rate in the cases of multi-antennas (more than 2) and complex signals with OSTBC. Furthermore, the performance of system will be improved more combine with the Q-ary LDPC channel codes.