Coding advantage decomposition inequality for the space-frequency block codes

In this study, the authors present a new criterion which can be used to decompose the coding advantage (CA) of space-frequency block codes (SFBCs). The proposed decomposition separates the CA into two parts, called precoder-CA and channel-CA. The precoder-CA represents the effects of the precoder and the signal constellation, and can be used in the design of the precoder of SFBCs. The channel-CA, on the other hand, gives an indication of the effects of the channel characteristics, and can be utilised for optimising the permutation parameter. The authors have shown that the proposed decomposition method leads to a lower computational complexity for the optimisation procedure compared with the general form of the CA. As an application of the proposed method, the authors used it to optimise the channel-CA of a high-rate SFBC. Simulation results confirmed better performance for the modified high-rate SFBC compared with recently proposed SFBCs in the literature.