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Coded Modulation Schemes for Voronoi Constellations

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Title: Coded Modulation Schemes for Voronoi Constellations
Authors: Li, Shen, 1994, Mirani, Ali, 1992, Karlsson, Magnus, 1967, Agrell, Erik, 1965
Source: IEEE Transactions on Communications. 73(10):8454-8469
Subject Terms: Voronoi constellations, multidimensional modulation formats, geometric shaping, information rates, Ungerboeck SP, lattices, multilevel coding, forward error correction coding, Bit-interleaved coded modulation, constellation labeling
Description: Multidimensional Voronoi constellations (VCs) have been shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded modulation scheme that sustains these gains after forward error correction (FEC) coding is still lacking. This paper designs coded modulation schemes with soft-decision FEC codes for VCs, including bit-interleaved coded modulation (BICM) and multilevel coded modulation (MLCM), together with three bit-to-integer mapping algorithms and log-likelihood ratio calculation algorithms. Simulation results show that VCs can achieve up to 1.84 dB signal-to-noise ratio (SNR) gains over QAM with BICM, and up to 0.99 dB SNR gains over QAM with MLCM for the additive white Gaussian noise channel at the bit error rate of 1.81 × 10−3 with a low decoding complexity.
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Items – Name: Title
  Label: Title
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  Data: Coded Modulation Schemes for Voronoi Constellations
– Name: Author
  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Li%2C+Shen%22">Li, Shen</searchLink>, 1994<br /><searchLink fieldCode="AR" term="%22Mirani%2C+Ali%22">Mirani, Ali</searchLink>, 1992<br /><searchLink fieldCode="AR" term="%22Karlsson%2C+Magnus%22">Karlsson, Magnus</searchLink>, 1967<br /><searchLink fieldCode="AR" term="%22Agrell%2C+Erik%22">Agrell, Erik</searchLink>, 1965
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  Data: <i>IEEE Transactions on Communications</i>. 73(10):8454-8469
– Name: Subject
  Label: Subject Terms
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  Data: <searchLink fieldCode="DE" term="%22Voronoi+constellations%22">Voronoi constellations</searchLink><br /><searchLink fieldCode="DE" term="%22multidimensional+modulation+formats%22">multidimensional modulation formats</searchLink><br /><searchLink fieldCode="DE" term="%22geometric+shaping%22">geometric shaping</searchLink><br /><searchLink fieldCode="DE" term="%22information+rates%22">information rates</searchLink><br /><searchLink fieldCode="DE" term="%22Ungerboeck+SP%22">Ungerboeck SP</searchLink><br /><searchLink fieldCode="DE" term="%22lattices%22">lattices</searchLink><br /><searchLink fieldCode="DE" term="%22multilevel+coding%22">multilevel coding</searchLink><br /><searchLink fieldCode="DE" term="%22forward+error+correction+coding%22">forward error correction coding</searchLink><br /><searchLink fieldCode="DE" term="%22Bit-interleaved+coded+modulation%22">Bit-interleaved coded modulation</searchLink><br /><searchLink fieldCode="DE" term="%22constellation+labeling%22">constellation labeling</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Multidimensional Voronoi constellations (VCs) have been shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded modulation scheme that sustains these gains after forward error correction (FEC) coding is still lacking. This paper designs coded modulation schemes with soft-decision FEC codes for VCs, including bit-interleaved coded modulation (BICM) and multilevel coded modulation (MLCM), together with three bit-to-integer mapping algorithms and log-likelihood ratio calculation algorithms. Simulation results show that VCs can achieve up to 1.84 dB signal-to-noise ratio (SNR) gains over QAM with BICM, and up to 0.99 dB SNR gains over QAM with MLCM for the additive white Gaussian noise channel at the bit error rate of 1.81 × 10−3 with a low decoding complexity.
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      – Type: doi
        Value: 10.1109/TCOMM.2025.3554118
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      – Text: English
    PhysicalDescription:
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        PageCount: 16
        StartPage: 8454
    Subjects:
      – SubjectFull: Voronoi constellations
        Type: general
      – SubjectFull: multidimensional modulation formats
        Type: general
      – SubjectFull: geometric shaping
        Type: general
      – SubjectFull: information rates
        Type: general
      – SubjectFull: Ungerboeck SP
        Type: general
      – SubjectFull: lattices
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      – SubjectFull: multilevel coding
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      – SubjectFull: forward error correction coding
        Type: general
      – SubjectFull: Bit-interleaved coded modulation
        Type: general
      – SubjectFull: constellation labeling
        Type: general
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      – TitleFull: Coded Modulation Schemes for Voronoi Constellations
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            NameFull: Li, Shen
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            NameFull: Karlsson, Magnus
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            NameFull: Agrell, Erik
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              M: 01
              Type: published
              Y: 2025
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