A multi-optimization-based genetic algorithm mapper design for three transmit uncoded space-time diversity systems

Abstract

Three transmit antennas Uncoded Space-Time Labeling Diversity (USTLD) systems were recently proposed as a direct extension to the two transmit antennas USTLD system. By employing more antennas at the transmitter, antenna — as well as — labeling diversity (LD) can be further achieved. Existing mapper designs for three transmit antennas USTLD systems are based on symmetrical heuristics, and hence no asymmetrical mapper designs can be produced. This paper proposes a multi-function optimization genetic algorithm for the three transmit antennas USTLD system that produces mapper designs irrespective of size or symmetry. The genetic algorithm was tested on 16-, 32QAM, 16-, 32APSK and 16APSK constellations that do not exhibit diagonal symmetry. The proposed genetic algorithm had produced mapper designs that match but did not improve upon existing mapper designs for 16QAM and 32QAM, respectively. The 16APSK and 32APSK mapper designs produced achieved diversity gains of [Formula: see text] and [Formula: see text] when compared to existing third mapper designs, as well as [Formula: see text] and [Formula: see text] gain over the two transmit antennas USTLD scheme at the BER of [Formula: see text]. Furthermore, when tested on 16APSK constellations that do not exhibit diagonal symmetry, these mappers achieved diversity gains between [Formula: see text], [Formula: see text] and [Formula: see text] over the two-transmit USTLD scheme at the BER of [Formula: see text], respectively. The computational complexity of the proposed genetic algorithm was analyzed based on a previous study, which was shown to be [Formula: see text].