The full rate can be attained by the conventional Quasi-Orthogonal Space–Time Block Codes (QO-STBC) with the downside of more decoding intricacy and less diversity gain. Grammian matrix of already existing QO-STBC scheme contains non-diagonal elements i.e. interference terms which are responsible for more computational load at the receiver. The non-diagonal elements causing interference while decoding process are eliminated from the grammian matrix by the use of RAR (reflection and rotation) operations on the detection matrix of already existing QO-STBC. Reflection and rotation QO-STBC (RAR-QOSTBC) scheme is proposed in this paper, which results in transformation of the grammian matrix into a diagonal matrix. Corresponding to the diagonal matrix, a new RAR-QOSTBC encoding matrix is generated. RAR-QOSTBC scheme enables to achieve more diversity gain as well as it reduces decoding intricacy at the receiver as comparison to the already existing QO-STBC method. Analysis has been performed for different levels of PSK modulation over two distinct channels (AWGN and Rayleigh) by changing the number of receive antennas. Simulation result shows a significant improvement in the BER performance because of the removal of non-slanting elements from the detection matrix.
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