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To combine the geometric and probabilistic shaping together, it is called hybrid probabilistic-geometric shaping. In principle, it provides the optimal performance. The PS signal can be performed by using probabilistic fold shaping (PFS) with 2-dimensional Maxwell-Boltzmann distribution matcher (DM) to transform uniform binary bits to experience non-uniform distribution. The GS constellation is prepared for each specific signal-to-noise-ratio (SNR) and entropy H(P) by using generalized pairwise optimization method (GPO). Furthermore, the maximum aposteriori probability (MAP) detection is recommended for PS/HPGS-N-QAM considering HD decoding method. Since there are no reports about the optimized constellations for HPGS-N-QAM to minimize MAP-BER at specific signal-to-noise ratio (SNR) and entropy H(P), in this work, we design the optimal constellations for HPGS-64QAM with HDD system and evaluate the performance experimentally. |
IEEE/ICACT20210252 Slide.04
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