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In this paper, we give an overview of spatially coupled turbo codes (SC-TCs), the spatial coupling of parallel and serially concatenated convolutional codes, recently introduced by the authors. For presentation purposes, we focus on…

Information Theory · Computer Science 2014-07-03 Alexandre Graell i Amat , Saeedeh Moloudi , Michael Lentmaier

We consider a special family of SC-LDPC codes, that is, time-invariant LDPCC codes, which are known in the literature for a long time. Codes of this kind are usually designed by starting from QC block codes, and applying suitable unwrapping…

Information Theory · Computer Science 2016-05-19 Marco Baldi , Massimo Battaglioni , Franco Chiaraluce , Giovanni Cancellieri

Quasi-cyclic (QC) low-density parity-check (LDPC) codes are a class of LDPC codes with a simple construction facilitating hardware implementation while achieving excellent performance. In this paper, we introduce an algorithm that…

Information Theory · Computer Science 2025-07-15 Haizheng Li , Sisi Miao , Laurent Schmalen

With the use of belief propagation (BP) decoding algorithm, low-density parity-check (LDPC) codes can achieve near-Shannon limit performance. In order to evaluate the error performance of LDPC codes, simulators running on CPUs are commonly…

Information Theory · Computer Science 2012-07-30 Yue Zhao , Francis C. M. Lau

In this paper, we compare the finite-length performance of protograph-based spatially coupled low-density parity-check (SC-LDPC) codes and LDPC block codes (LDPC-BCs) over GF(q). In order to reduce computational complexity and latency, a…

Information Theory · Computer Science 2014-08-13 Kechao Huang , David G. M. Mitchell , Lai Wei , Xiao Ma , Daniel J. Costello

A new class of spatially-coupled turbo-like codes (SC-TCs), dubbed generalized spatially coupled parallel concatenated codes (GSC-PCCs), is introduced. These codes are constructed by applying spatial coupling on parallel concatenated codes…

Information Theory · Computer Science 2022-02-25 Min Qiu , Xiaowei Wu , Jinhong Yuan , Alexandre Graell i Amat

This paper investigates the design of spatially coupled low-density parity-check (SC-LDPC) codes constructed from connected-chain ensembles for bit-interleaved coded modulation (BICM) schemes. For short coupling lengths, connecting multiple…

Information Theory · Computer Science 2021-07-08 Yihuan Liao , Min Qiu , Jinhong Yuan

Spatially coupled low-density parity-check (SC-LDPC) codes are a class of capacity approaching LDPC codes with low message recovery latency when a sliding window decoding is used. In this paper, we first present a new method for the…

Information Theory · Computer Science 2023-10-20 Zeinab Roostaie , Mohammad Gholami , Farzad Parvaresh

Spatially coupled low-density parity-check (SC-LDPC) codes can achieve the channel capacity under low-complexity belief propagation (BP) decoding, however, there is a non-negligible rate-loss because of termination effects for practical…

Information Theory · Computer Science 2015-12-16 Sebastian Cammerer , Vahid Aref , Laurent Schmalen , Stephan ten Brink

Spatially-coupled (SC) codes are a class of low-density parity-check (LDPC) codes that have excellent performance thanks to the degrees of freedom they offer. An SC code is designed by partitioning a base matrix into components, the number…

Information Theory · Computer Science 2026-05-11 Bade Aksoy , Doğukan Özbayrak , Ahmed Hareedy

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

Information Theory · Computer Science 2019-07-09 Laurent Schmalen , Vahid Aref

We present a decode-and-forward transmission scheme based on spatially-coupled low-density parity-check (SC-LDPC) codes for a network consisting of two (possibly correlated) sources, one relay, and one destination. The links between the…

Information Theory · Computer Science 2014-02-17 Stefan Schwandter , Alexandre Graell i Amat , Gerald Matz

In this paper, we deal with time-invariant spatially coupled low-density parity-check convolutional codes (SC-LDPC-CCs). Classic design approaches usually start from quasi-cyclic low-density parity-check (QC-LDPC) block codes and exploit…

Information Theory · Computer Science 2017-11-30 Massimo Battaglioni , Alireza Tasdighi , Giovanni Cancellieri , Franco Chiaraluce , Marco Baldi

We consider spatially coupled low-density parity-check codes with finite smoothing parameters. A finite smoothing parameter is important for designing practical codes that are decoded using low-complexity windowed decoders. By optimizing…

Information Theory · Computer Science 2017-01-27 Laurent Schmalen , Vahid Aref , Fanny Jardel

In this paper we consider the generalization of binary spatially coupled low-density parity-check (SC-LDPC) codes to finite fields GF$(q)$, $q\geq 2$, and develop design rules for $q$-ary SC-LDPC code ensembles based on their iterative…

Information Theory · Computer Science 2014-11-18 Lai Wei , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

In this paper we propose the construction of Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes using a periodic time-variant Quasi-Cyclic (QC) algorithm. The QC based approach is optimized to obtain memory efficiency in storing the…

Information Theory · Computer Science 2013-10-18 Vikram Arkalgud Chandrasetty , Sarah J. Johnson , Gottfried Lechner

SC-LDPC codes with sub-block locality can be decoded locally at the level of sub-blocks that are much smaller than the full code block, thus providing fast access to the coded information. The same code can also be decoded globally using…

Information Theory · Computer Science 2020-05-28 Homa Esfahanizadeh , Eshed Ram , Yuval Cassuto , Lara Dolecek

We introduce generalized spatially coupled parallel concatenated codes (GSC-PCCs), a class of spatially coupled turbo-like codes obtained by coupling parallel concatenated codes (PCCs) with a fraction of information bits repeated before the…

Information Theory · Computer Science 2021-05-04 Min Qiu , Xiaowei Wu , Jinhong Yuan , Alexandre Graell i Amat

Spatially coupled low-density parity-check (SC-LDPC) codes are sparse graph codes that have recently become of interest due to their capacity-approaching performance on memoryless binary input channels. In this paper, we unify all existing…

Information Theory · Computer Science 2017-10-11 Allison Beemer , Salman Habib , Christine A. Kelley , Joerg Kliewer

Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there remains a gap between BP decoding and maximum likelihood…

Information Theory · Computer Science 2025-01-22 Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen