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Analysis of ripple size evolution in the LT process.

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Title: Analysis of ripple size evolution in the LT process.
Authors: Khonsari, Hossein1 h.khonsari@queensu.ca, Okpotse, Toritseju1, Valipour, Mehrdad2, Yousefi, Shahram1
Source: IET Communications (Wiley-Blackwell). 2018, Vol. 12 Issue 14, p1686-1693. 8p. 2 Black and White Photographs, 1 Diagram, 1 Chart, 7 Graphs.
Subjects: Luby transform codes, Encoding, Decoders & decoding, Computer science, Probability theory
Abstract: This study introduces a novel framework and analysis tool to monitor the evolution of the ripple size during the Lubytransform (LT) decoding process. It provides a closed-form probability expression to statistically describe the behaviour of the ripple size at each step of the decoding. The probability function is conditioned on the size of the ripple in the previous step, the number of recovered source symbols and the encoded symbols' degree distribution. The authors further derive a closed-form expression for the ripple size after new encoded symbols are received by a decoder with an empty ripple. This relates to the activation of belief propagation decoding attempts once premature terminations occur. They validate their analyses through numerical examples of an LT-coded system. The results show that their analyses precisely coincide with the numerical results. [ABSTRACT FROM AUTHOR]
Copyright of IET Communications (Wiley-Blackwell) is the property of Wiley-Blackwell 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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 131250761
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Analysis of ripple size evolution in the LT process.
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  Data: <searchLink fieldCode="AR" term="%22Khonsari%2C+Hossein%22">Khonsari, Hossein</searchLink><relatesTo>1</relatesTo><i> h.khonsari@queensu.ca</i><br /><searchLink fieldCode="AR" term="%22Okpotse%2C+Toritseju%22">Okpotse, Toritseju</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Valipour%2C+Mehrdad%22">Valipour, Mehrdad</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Yousefi%2C+Shahram%22">Yousefi, Shahram</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22IET+Communications+%28Wiley-Blackwell%29%22">IET Communications (Wiley-Blackwell)</searchLink>. 2018, Vol. 12 Issue 14, p1686-1693. 8p. 2 Black and White Photographs, 1 Diagram, 1 Chart, 7 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Luby+transform+codes%22">Luby transform codes</searchLink><br /><searchLink fieldCode="DE" term="%22Encoding%22">Encoding</searchLink><br /><searchLink fieldCode="DE" term="%22Decoders+%26+decoding%22">Decoders & decoding</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+science%22">Computer science</searchLink><br /><searchLink fieldCode="DE" term="%22Probability+theory%22">Probability theory</searchLink>
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  Data: This study introduces a novel framework and analysis tool to monitor the evolution of the ripple size during the Lubytransform (LT) decoding process. It provides a closed-form probability expression to statistically describe the behaviour of the ripple size at each step of the decoding. The probability function is conditioned on the size of the ripple in the previous step, the number of recovered source symbols and the encoded symbols' degree distribution. The authors further derive a closed-form expression for the ripple size after new encoded symbols are received by a decoder with an empty ripple. This relates to the activation of belief propagation decoding attempts once premature terminations occur. They validate their analyses through numerical examples of an LT-coded system. The results show that their analyses precisely coincide with the numerical results. [ABSTRACT FROM AUTHOR]
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  Group: Ab
  Data: <i>Copyright of IET Communications (Wiley-Blackwell) is the property of Wiley-Blackwell 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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        Value: 10.1049/iet-com.2017.1352
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        Type: general
      – SubjectFull: Encoding
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      – SubjectFull: Decoders & decoding
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              Text: 2018
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