Girth Analysis and Design of Periodically Time-Varying SC-LDPC Codes
(2021) In IEEE Transactions on Information Theory 67(4). p.2217-2235- Abstract
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... (More)
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.
(Less)
- author
- Battaglioni, Massimo LU ; Chiaraluce, Franco ; Baldi, Marco and Lentmaier, Michael LU
- organization
- publishing date
- 2021-04
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Convolutional codes, girth, LDPC codes, spatially coupled codes, time-invariant codes, time-varying codes
- in
- IEEE Transactions on Information Theory
- volume
- 67
- issue
- 4
- article number
- 9354189
- pages
- 19 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:85101431738
- ISSN
- 0018-9448
- DOI
- 10.1109/TIT.2021.3059414
- language
- English
- LU publication?
- yes
- id
- fdaf5873-ac0b-4309-b2d4-7d1a89e5b834
- date added to LUP
- 2022-02-28 17:22:31
- date last changed
- 2022-05-17 01:46:29
@article{fdaf5873-ac0b-4309-b2d4-7d1a89e5b834, abstract = {{<p>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.</p>}}, author = {{Battaglioni, Massimo and Chiaraluce, Franco and Baldi, Marco and Lentmaier, Michael}}, issn = {{0018-9448}}, keywords = {{Convolutional codes; girth; LDPC codes; spatially coupled codes; time-invariant codes; time-varying codes}}, language = {{eng}}, number = {{4}}, pages = {{2217--2235}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Transactions on Information Theory}}, title = {{Girth Analysis and Design of Periodically Time-Varying SC-LDPC Codes}}, url = {{http://dx.doi.org/10.1109/TIT.2021.3059414}}, doi = {{10.1109/TIT.2021.3059414}}, volume = {{67}}, year = {{2021}}, }