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In this paper, we introduce the concept of spatially coupled turbo-like codes (SC-TCs) as the spatial coupling of a number of turbo-like code ensembles. In particular, we consider the spatial coupling of Berrou et al. parallel concatenated…

Information Theory · Computer Science 2017-10-03 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

In this paper, we introduce the concept of spatially coupled turbo codes (SC-TCs), as the turbo codes counterpart of spatially coupled low-density parity-check codes. We describe spatial coupling for both Berrou et al. and Benedetto et al.…

Information Theory · Computer Science 2014-07-23 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

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 analyze nonbinary spatially-coupled low-density parity-check (SC-LDPC) codes built on the general linear group for transmission over the binary erasure channel. We prove threshold saturation of the belief propagation decoding to the…

Information Theory · Computer Science 2014-07-23 Alexandre Graell i Amat , Iryna Andriyanova , Amina Piemontese

In this paper, we investigate the impact of spatial coupling on the thresholds of turbo-like codes. Parallel concatenated and serially concatenated convolutional codes as well as braided convolutional codes (BCCs) are compared by means of…

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

Convolutional low-density parity-check (LDPC) codes (or spatially-coupled codes) have now been shown to achieve capacity on binary-input memoryless symmetric channels. The principle behind this surprising result is the threshold-saturation…

Information Theory · Computer Science 2013-01-25 Arvind Yedla , Yung-Yih Jian , Phong S. Nguyen , Henry D. Pfister

Low-density parity-check (LDPC) convolutional codes (or spatially-coupled codes) have been shown to approach capacity on the binary erasure channel (BEC) and binary-input memoryless symmetric channels. The mechanism behind this spectacular…

Information Theory · Computer Science 2015-03-20 Arvind Yedla , Yung-Yih Jian , Phong S. Nguyen , Henry D. Pfister

We consider spatially coupled code ensembles. A particular instance are convolutional LDPC ensembles. It was recently shown that, for transmission over the binary erasure channel, this coupling increases the belief propagation threshold of…

Information Theory · Computer Science 2010-04-22 Shrinivas Kudekar , Cyril Measson , Tom Richardson , Ruediger Urbanke

We consider spatially coupled code ensembles. A particular instance are convolutional LDPC ensembles. It was recently shown that, for transmission over the memoryless binary erasure channel, this coupling increases the belief propagation…

Information Theory · Computer Science 2011-02-03 Shrinivas Kudekar , Kenta Kasai

Low-density parity-check (LDPC) convolutional codes have been shown to exhibit excellent performance under low-complexity belief-propagation decoding [1], [2]. This phenomenon is now termed threshold saturation via spatial coupling. The…

Information Theory · Computer Science 2013-12-30 Santhosh Kumar , Andrew J. Young , Nicolas Macris , Henry D. Pfister

We analyze the asymptotic performance of nonbinary spatially-coupled low-density parity-check (SC-LDPC) code ensembles defined over the general linear group on the binary erasure channel. In particular, we prove threshold saturation of…

Information Theory · Computer Science 2016-04-05 Iryna Andriyanova , Alexandre Graell i Amat

This paper presents a new class of spatially coupled turbo-like codes (SC-TCs), namely half spatially coupled braided convolutional codes (HSC-BCCs) and half spatially coupled parallel concatenated codes (HSC-PCCs). Different from the…

Information Theory · Computer Science 2025-07-04 Xiaowei Wu , Lei Yang , Min Qiu , Chong Han , Jinhong Yuan

We consider spatially coupled code ensembles over a multiple access channel. Convolutional LDPC ensembles are one instance of spatially coupled codes. It was shown recently that, for transmission over the binary erasure channel, this…

Information Theory · Computer Science 2011-02-15 Shrinivas Kudekar , Kenta Kasai

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

In this paper we are concerned with the asymptotic analysis of nonbinary spatially-coupled low-density parity-check (SC-LDPC) ensembles defined over GL$\left(2^{m}\right)$ (the general linear group of degree $m$ over GF$\left(2\right)$).…

Information Theory · Computer Science 2020-06-23 Zhonghao Zhang , Mengnan Xu , Chongbin Xu , Dan Zeng , Zhichao Sheng

Low-density parity-check (LDPC) convolutional codes (or spatially-coupled codes) were recently shown to approach capacity on the binary erasure channel (BEC) and binary-input memoryless symmetric channels. The mechanism behind this…

Information Theory · Computer Science 2016-11-17 Arvind Yedla , Yung-Yih Jian , Phong S. Nguyen , Henry D. Pfister

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

Spatially-coupled low-density parity-check (LDPC) codes, which were first introduced as LDPC convolutional codes, have been shown to exhibit excellent performance under low-complexity belief-propagation decoding. This phenomenon is now…

Information Theory · Computer Science 2015-01-16 Santhosh Kumar , Andrew J. Young , Nicolas Macris , Henry D. Pfister

This paper is devoted to the finite-length analysis of turbo decoding over the binary erasure channel (BEC). The performance of iterative belief-propagation (BP) decoding of low-density parity-check (LDPC) codes over the BEC can be…

Information Theory · Computer Science 2011-05-31 Eirik Rosnes , Øyvind Ytrehus

We consider transmission of two independent and separately encoded sources over a two-user binary-input Gaussian multiple-access channel. The channel gains are assumed to be unknown at the transmitter and the goal is to design an…

Information Theory · Computer Science 2011-10-04 Arvind Yedla , Phong S. Nguyen , Henry D. Pfister , Krishna R. Narayanan
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