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

Toshiki Matsumine, Toshiaki Koike-Akino, Hideki Ochiai

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We propose a new probabilistic amplitude shaping (PAS) scheme based on short linear block codes. In the proposed system, the capacity-approaching signal distribution is generated in the process of decoding linear block codes for a given information bit sequence. We associate the design problem of shaping codes with the classical covering problem, suggesting the use of good covering codes for shaping. From simulation results, it is demonstrated that by selecting perfect binary codes as our shaping codes, the proposed scheme offers a shaping gain of around 0.3–1.0 dB. By comparing with the enumerative sphere shaping (ESS) of the same block length, we verify that the proposed scheme achieves significantly lower storage complexity and computational complexity at the receiver even with comparable block error rate performance.

Original languageEnglish
JournalIEEE Transactions on Communications
Issue number12
Pages (from-to)7923-7933
Publication statusPublished - 2021


  • Binary perfect codes
  • Block codes
  • Codes
  • Decoding
  • Gain
  • Lattices
  • Linear block codes
  • Modulation
  • Probabilistic amplitude shaping
  • Receivers


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