In this paper, we integrate the 5G low-density parity-check (LDPC) coded modulation systems with hybrid shaping, where the centroid-based geometric shaping is implemented to remedy the performance loss of the many-to-one probabilistic shaping. Taking into account the fact that the 5G parity-check matrices have an uneven density in different parts, we elaborately design a simple row-column interleaver for the bit-interleaved coded modulation with iterative decoding (BICM-ID) system to allocate the ambiguous bits caused by the many-to-one mapping to the sparser parity part, resulting in the hybrid shaping for BICM-ID (HS-BICM-ID) system. Numerical results have shown that the HS-BICM-ID can obtain shaping gains of about 0.5 dB and 1.4 dB compared to the constant composition distribution matching (CCDM) shaping and the geometric shaping, respectively, while it can obtain a shaping gain of about 1.7 dB compared to the scheme with uniform input. Our work has also shown that, at low and moderate spectral efficiency, the presented hybrid shaping can achieve a significant shaping gain and effectively remedy the performance loss of dyadic many-to-one probabilistic shaping.
Hybrid Shaping for Bit-Interleaved Coded Modulation with Iterative Decoding
2024-06-24
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Conference paper
Electronic Resource
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