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EXIT chart analysis of regular and irregular LDPC convolutional codes on AWGN channel.

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Název: EXIT chart analysis of regular and irregular LDPC convolutional codes on AWGN channel.
Autoři: Laouar, Oulfa, Amamra, Imed, Derouiche, Nadir
Zdroj: Bulletin of Electrical Engineering & Informatics; Feb2025, Vol. 14 Issue 1, p338-356, 19p
Témata: LOW density parity check codes, FORWARD error correction, BLOCK codes, PARITY-check matrix, ITERATIVE decoding
Abstrakt: Low-density parity-check (LDPC) codes are widely recognized for their excellent forward error correction, near-Shannon-limit performance, and support for high data rates with effective hardware parallelization. Their convolutional counterpart, LDPC convolutional codes (LDPC-CCs), offer additional advantages such as variable codeword lengths, unlimited paritycheck matrices, and simpler encoding and decoding. These features make LDPC-CCs particularly suitable for practical implementations with varying channel conditions and data frame sizes. This paper investigates the performance of LDPC-CCs using the extrinsic information transfer (EXIT) chart, a graphical tool for analyzing iterative decoding. EXIT charts visualize mutual information exchange and help predict convergence behavior, estimate performance thresholds, and optimize code design. Starting with the EXIT chart principles for LDPC codes, we derived the mutual information functions for variable and check nodes in regular and irregular LDPC-CC tanner graphs. This involved adapting existing EXIT functions to the periodic parity-check matrix of LDPC-CCs. We compare regular and irregular LDPC-CC constructions, examining the impact of degree distributions and the number of periods in the parity-check matrix on convergence behavior. Our simulations show that irregular LDPC-CCs consistently outperform regular ones, and the EXIT chart analysis confirms that LDPC-CCs demonstrate superior bit error rate (BER) performance compared to equivalent LDPC block codes. [ABSTRACT FROM AUTHOR]
Copyright of Bulletin of Electrical Engineering & Informatics is the property of Institute of Advanced Engineering & Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: EXIT chart analysis of regular and irregular LDPC convolutional codes on AWGN channel.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Laouar%2C+Oulfa%22">Laouar, Oulfa</searchLink><br /><searchLink fieldCode="AR" term="%22Amamra%2C+Imed%22">Amamra, Imed</searchLink><br /><searchLink fieldCode="AR" term="%22Derouiche%2C+Nadir%22">Derouiche, Nadir</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Bulletin of Electrical Engineering & Informatics; Feb2025, Vol. 14 Issue 1, p338-356, 19p
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22LOW+density+parity+check+codes%22">LOW density parity check codes</searchLink><br /><searchLink fieldCode="DE" term="%22FORWARD+error+correction%22">FORWARD error correction</searchLink><br /><searchLink fieldCode="DE" term="%22BLOCK+codes%22">BLOCK codes</searchLink><br /><searchLink fieldCode="DE" term="%22PARITY-check+matrix%22">PARITY-check matrix</searchLink><br /><searchLink fieldCode="DE" term="%22ITERATIVE+decoding%22">ITERATIVE decoding</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Low-density parity-check (LDPC) codes are widely recognized for their excellent forward error correction, near-Shannon-limit performance, and support for high data rates with effective hardware parallelization. Their convolutional counterpart, LDPC convolutional codes (LDPC-CCs), offer additional advantages such as variable codeword lengths, unlimited paritycheck matrices, and simpler encoding and decoding. These features make LDPC-CCs particularly suitable for practical implementations with varying channel conditions and data frame sizes. This paper investigates the performance of LDPC-CCs using the extrinsic information transfer (EXIT) chart, a graphical tool for analyzing iterative decoding. EXIT charts visualize mutual information exchange and help predict convergence behavior, estimate performance thresholds, and optimize code design. Starting with the EXIT chart principles for LDPC codes, we derived the mutual information functions for variable and check nodes in regular and irregular LDPC-CC tanner graphs. This involved adapting existing EXIT functions to the periodic parity-check matrix of LDPC-CCs. We compare regular and irregular LDPC-CC constructions, examining the impact of degree distributions and the number of periods in the parity-check matrix on convergence behavior. Our simulations show that irregular LDPC-CCs consistently outperform regular ones, and the EXIT chart analysis confirms that LDPC-CCs demonstrate superior bit error rate (BER) performance compared to equivalent LDPC block codes. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Bulletin of Electrical Engineering & Informatics is the property of Institute of Advanced Engineering & Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.11591/eei.v14i1.8260
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 19
        StartPage: 338
    Subjects:
      – SubjectFull: LOW density parity check codes
        Type: general
      – SubjectFull: FORWARD error correction
        Type: general
      – SubjectFull: BLOCK codes
        Type: general
      – SubjectFull: PARITY-check matrix
        Type: general
      – SubjectFull: ITERATIVE decoding
        Type: general
    Titles:
      – TitleFull: EXIT chart analysis of regular and irregular LDPC convolutional codes on AWGN channel.
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            NameFull: Laouar, Oulfa
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            NameFull: Amamra, Imed
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            NameFull: Derouiche, Nadir
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            – D: 01
              M: 02
              Text: Feb2025
              Type: published
              Y: 2025
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              Value: 14
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            – TitleFull: Bulletin of Electrical Engineering & Informatics
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