TR2021-117

A Low-Complexity Probabilistic Amplitude Shaping with Short Linear Block Codes

    •  Matsumine, T., Koike-Akino, T., Ochiai, H., "A Low-Complexity Probabilistic Amplitude Shaping with Short Linear Block Codes", IEEE Transactions on Communications, DOI: 10.1109/​TCOMM.2021.3111032, Vol. 69, No. 12, pp. 7923-7933, September 2021.
      BibTeX TR2021-117 PDF
      • @article{Matsumine2021sep,
      • author = {Matsumine, Toshiki and Koike-Akino, Toshiaki and Ochiai, Hideki},
      • title = {A Low-Complexity Probabilistic Amplitude Shaping with Short Linear Block Codes},
      • journal = {IEEE Transactions on Communications},
      • year = 2021,
      • volume = 69,
      • number = 12,
      • pages = {7923--7933},
      • month = sep,
      • doi = {10.1109/TCOMM.2021.3111032},
      • issn = {1558-0857},
      • url = {https://www.merl.com/publications/TR2021-117}
      • }
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  • Research Areas:

    Communications, Optimization, Signal Processing

Abstract:

We propose a new probabilistic amplitude shaping (PAS) scheme based on short linear block codes for bit-interleaved coded modulation (BICM) that achieves moderate shaping gains with short block length. The proposed system is based on search-based shaping, where the capacity-approaching distribution of modulated symbols is generated by decoding algorithm of linear block codes. We describe the relationship of the design problem of shaping codes in the proposed system and the classical covering problem, which motivates us to use good covering codes for shaping. We demonstrate that using repetition codes, Hamming codes, and Goley codes as shaping codes, the proposed shaping offers a shaping gain of around 0.3–1.0 dB with reasonable complexity in a very short block length regime, e.g., less than 24 symbols.