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Girth Analysis and ...
Girth Analysis and Design of Periodically Time-Varying SC-LDPC Codes
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- Battaglioni, Massimo (author)
- Marche Polytechnic University
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- Chiaraluce, Franco (author)
- Marche Polytechnic University
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- Baldi, Marco (author)
- Marche Polytechnic University
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- Lentmaier, Michael (author)
- Lund University,Lunds universitet,Kommunikationsteknologi,Forskargrupper vid Lunds universitet,Communications Engineering,Lund University Research Groups
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(creator_code:org_t)
- 2021
- 2021
- English 19 s.
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In: IEEE Transactions on Information Theory. - 0018-9448. ; 67:4, s. 2217-2235
- Related links:
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http://dx.doi.org/10...
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https://lup.lub.lu.s...
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https://doi.org/10.1...
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Abstract
Subject headings
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- Time-varying spatially coupled low-density parity-check (SC-LDPC) codes with very large period are characterized by significantly better error rate performance and girth properties than their time-invariant counterparts, but the number of parameters they require to be described is usually very large and unpractical. Time-invariant SC-LDPC codes, which can be seen as periodically time-varying codes with unitary period, are represented through a small number of parameters and designed exploiting few degrees of freedom, but their error rate performance and girth properties are sub-optimal. In this paper, we show that the limits of time-invariant SC-LDPC codes can be overcome by transforming them into time-varying SC-LDPC codes with very small period. In particular, we show that periodically time-varying SC-LDPC codes with small period may exhibit significantly better girth properties than the corresponding time-invariant codes by exploiting a larger number of degrees of freedom in the code design, which however scale at most linearly with the product of the code period and the size of the considered base matrix.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Telekommunikation (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Telecommunications (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
Keyword
- Convolutional codes
- girth
- LDPC codes
- spatially coupled codes
- time-invariant codes
- time-varying codes
Publication and Content Type
- art (subject category)
- ref (subject category)
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