Complex orthogonal coded binary transmission with amicable Hadamard matrices over Rayleigh fading channels

This paper proposes and analyzes a binary information transmission system with complex orthogonal coding based on the use of amicable Hadamard matrices. The proposed configuration is analyzed over Rayleigh fading channels with coherent maximum aposteriori probability (MAP) vector detection. The performance of the system is evaluated in terms of the bit error probability (BEP) with simulation and/or mathematical analysis and presents great enhancement compared to standard binary phase shift keying (BPSK) modulation under identical information rate and mean power constraints. The system performance is enhanced by increasing the size of Hadamard matrices at a cost of complexity increase due to MAP detection. Comparison with real Hadamard matrices coded configurations, recently proposed, favors the proposed system with significant difference.