Genetic Algorithm-Based Uncoded M-ary Phase Shift Keying Space-Time Labelling Diversity with Three Transmit Antennas for Future Wireless Networks

Recently, the three transmit uncoded space-time labelling diversity (USTLD) system was introduced in literature for quadrature amplitude modulation (QAM) and amplitude phase shift keying (APSK) schemes. However, the new scheme had not been applied to the phase shift keying (PSK) modulation technique. Due to the structure of M-PSK constellations, existing third mapper symmetry-based heuristics could not produce mapper designs. In this paper, a genetic algorithm (GA) is proposed to produce the third mapper design for three transmit USTLD PSK systems. The three transmit antennas USTLD M-PSK scheme is simulated in the fast-fading channel where M is the order of modulation. Numerical analysis show that the analytical results are validated by Monte Carlo simulations with a tight match at high SNR. At a bit error rate(BER) of 10−6, the 8PSK and 32PSK schemes exhibit gains of ≈ 2 dB and ≈ 8 dB while at the BER of 10−5, the 16PSK and 64PSK schemes exhibit a gain of ≈ 4 dB and ≈ 5 dB, respectively.