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In this paper, we analyze the finite-length performance of codes on graphs constructed by connecting spatially coupled low-density parity-check (SC-LDPC) code chains. Successive (peeling) decoding is considered for the binary erasure…

Information Theory · Computer Science 2014-03-03 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello

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

Spatially coupled codes have been of interest recently owing to their superior performance over memoryless binary-input channels. The performance is good both asymptotically, since the belief propagation thresholds approach capacity, as…

Information Theory · Computer Science 2012-12-03 Aravind R. Iyengar , Paul H. Siegel , Rudiger L. Urbanke , Jack K. Wolf

Deep learning-based image registration methods have shown state-of-the-art performance and rapid inference speeds. Despite these advances, many existing approaches fall short in capturing spatially varying information in non-local regions…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Xinxing Cheng , Tianyang Zhang , Wenqi Lu , Qingjie Meng , Alejandro F. Frangi , Jinming Duan

We consider transmission over a wiretap channel where both the main channel and the wiretapper's channel are Binary Erasure Channels (BEC). We use convolutional LDPC ensembles based on the coset encoding scheme. More precisely, we consider…

Information Theory · Computer Science 2011-07-20 Vishwambhar Rathi , Ruediger Urbanke , Mattias Andersson , Mikael Skoglund

In this paper, we propose new coupled codes constructed by overlapping circular spatially-coupled low-density parity-check (SC-LDPC) codes, which show better asymptotic and finite-length decoding performance compared to the conventional…

Information Theory · Computer Science 2018-03-28 Heeyoul Kwak , Bohwan Jun , Pilwoong Yang , Jong-Seon No , Dong-Joon Shin

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

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

We propose a new type of ultimate-Shannon-limit-approaching codes called spatially coupled protograph-based low-density parity-check Hadamard convolutional codes (SC-PLDPCH-CCs), which are constructed by spatially coupling PLDPC-Hadamard…

Information Theory · Computer Science 2022-07-26 Peng W. Zhang , Francis C. M. Lau , Chiu-W. Sham

We study the performance of binary spatially-coupled low-density parity-check codes (SC-LDPC) when used with bit-interleaved coded-modulation (BICM) schemes. This paper considers the cases when transmission takes place over additive white…

Information Theory · Computer Science 2013-03-05 Arvind Yedla , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

Compute-and-forward (CAF) relaying is effective to increase bandwidth efficiency of wireless two-way relay channels. In a CAF scheme, a relay is designed to decode a linear combination composed of transmitted messages from other terminals…

Information Theory · Computer Science 2018-07-05 Satoshi Takabe , Tadashi Wadayama , Masahito Hayashi

We propose a novel encoding/transmission scheme called continuous chain (CC) transmission that is able to improve the finite-length performance of a system using spatially-coupled low-density parity-check (SC-LDPC) codes. In CC…

Information Theory · Computer Science 2019-10-04 Pablo M. Olmos , David G. M. Mitchell , Dmitri Truhachev , Daniel J. Costello

We study spatially coupled LDPC codes that allow access to sub-blocks much smaller than the full code block. Sub-block access is realized by a semi-global decoder that decodes a chosen target sub-block by only accessing the target, plus a…

Information Theory · Computer Science 2020-10-22 Eshed Ram , Yuval Cassuto

The usual belief propagation (BP) decoders are, in general, exchanging local information on the Tanner graph of the quantum error-correcting (QEC) code and, in particular, are known to not have a threshold for the surface code. We propose…

Quantum Physics · Physics 2026-03-06 Pedro Hack , Luca Menti , Francisco Lazaro , Alexandru Paler

Recently a powerful class of rate-compatible serially concatenated convolutional codes (SCCCs) have been proposed based on minimizing analytical upper bounds on the error probability in the error floor region. Here this class of codes is…

Information Theory · Computer Science 2007-07-13 Alexandre Graell i Amat , Fredrik Brannstrom , Lars K. Rasmussen

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

Kudekar et al. recently proved that for transmission over the binary erasure channel (BEC), spatial coupling of LDPC codes increases the BP threshold of the coupled ensemble to the MAP threshold of the underlying LDPC codes. One major…

Information Theory · Computer Science 2015-05-27 Kenta Kasai , Kohichi Sakaniwa

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

Recently, it has been observed that terminated low-density-parity-check (LDPC) convolutional codes (or spatially-coupled codes) appear to approach capacity universally across the class of binary memoryless channels. This is facilitated by…

Information Theory · Computer Science 2011-10-12 Phong S. Nguyen , Arvind Yedla , Henry D. Pfister , Krishna R. Narayanan

It is well known that spatially coupled (SC) codes with erasure-BP decoding have powerful error correcting capability over memoryless erasure channels. However, the decoding performance of SC-codes significantly degrades when they are used…

Information Theory · Computer Science 2015-01-20 Hiroki Mori , Tadashi Wadayama