Performance analysis of M-ary amplitude and phase shift keying uncoded space-time labeling diversity with three transmit antennas in nonlinear Rician channels

This article investigates uncoded space-time labeling diversity (USTLD) with three transmit antennas schemes based on amplitude and phase shift keying (APSK) modulation. The proposed USTLD schemes are DVB-S2 and DVB-S2X standards compatible and provide robustness against nonlinear distortion for both Rician frequency-flat fast and quasi-static fading channels. Numerical analysis of the proposed schemes is derived based on pairwise error probability. The analytical results are validated by Monte Carlo simulations, which converge accurately at high signal-to-noise ratio. Furthermore, by adapting constellation structure between square quadratic amplitude modulations and concentric rings of APSK modulations, the author proposes mapper design for 16-APSK, 32-APSK, and 64-APSK modulations for USTLD using heuristic algorithm. Finally, the proposed USTLD schemes show bit error rate (BER) improvement over the existing two transmit USTLD scheme with error performance gain of 1.2 and 2.8 dB at a BER of 10-6 for 16-APSK and 64-APSK USTLD scheme, respectively.