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An iterative algorithm is presented for soft-input-soft-output (SISO) decoding of Reed-Solomon (RS) codes. The proposed iterative algorithm uses the sum product algorithm (SPA) in conjunction with a binary parity check matrix of the RS…

Information Theory · Computer Science 2009-09-29 Jing Jiang , Krishna R. Narayanan

Product codes (PCs) protect a two-dimensional array of bits using short component codes. Assuming transmission over the binary symmetric channel, the decoding is commonly performed by iteratively applying bounded-distance decoding to the…

Information Theory · Computer Science 2017-11-22 Christian Häger , Henry D. Pfister

Product codes (PCs) and staircase codes (SCCs) are conventionally decoded based on bounded distance decoding (BDD) of the component codes and iterating between row and column decoders. The performance of iterative BDD (iBDD) can be improved…

Information Theory · Computer Science 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Alex Alvarado

This paper investigates the Triangle Single Parity Check (T/SPC) code, a novel class of high-rate low-complexity LDPC codes. T/SPC is a regular, soft decodable, linear-time encodable/decodable code. Compared to previous high-rate and…

Information Theory · Computer Science 2011-04-11 Damian A. Morero , Graciela Corral-Briones , Carmen Rodriguez , Mario R. Hueda

We propose a novel soft-aided iterative decoding algorithm for product codes (PCs). The proposed algorithm, named iterative bounded distance decoding with combined reliability (iBDD-CR), enhances the conventional iterative bounded distance…

Information Theory · Computer Science 2021-09-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

Information Theory · Computer Science 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

Products codes (PCs) are conventionally decoded with efficient iterative bounded-distance decoding (iBDD) based on hard-decision channel outputs which entails a performance loss compared to a soft-decision decoder. Recently, several hybrid…

Information Theory · Computer Science 2022-11-22 Sisi Miao , Lukas Rapp , Laurent Schmalen

In this paper we comprehensively investigate block-wise product (BWP) BCH codes, wherein raw data is arranged in the form of block-wise matrix and each row and column BCH codes intersect on one data block. We first devise efficient BCH…

Information Theory · Computer Science 2018-12-19 Yingquan Wu , Eyal En Gad

We propose a modified iterative bounded distance decoding of product codes. The proposed algorithm is based on exchanging hard messages iteratively and exploiting channel reliabilities to make hard decisions at each iteration. Performance…

Information Theory · Computer Science 2018-05-15 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

The asymptotic iterative decoding performances of low-density parity-check (LDPC) codes using min-sum (MS) and sum-product (SP) decoding algorithms on memoryless binary-input output-symmetric (MBIOS) channels are analyzed in this paper. For…

Information Theory · Computer Science 2007-07-13 Chun-Hao Hsu , Achilleas Anastasopoulos

We study low-complexity iterative decoding algorithms for product codes. We revisit two algorithms recently proposed by the authors based on bounded distance decoding (BDD) of the component codes that improve the performance of conventional…

Information Theory · Computer Science 2018-06-29 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Christian Häger , Henry D. Pfister

Spatially coupled, parallel concatenated codes (SC-PCCs) have been shown to approach channel capacity when decoded using optimal iterative methods. However, under complexity constraints such decoding strategies can result in unacceptable…

Information Theory · Computer Science 2021-09-07 Andrew D. Cummins , David G. M. Mitchell , Daniel J. Costello,

A variety of low-density parity-check (LDPC) ensembles have now been observed to approach capacity with message-passing decoding. However, all of them use soft (i.e., non-binary) messages and a posteriori probability (APP) decoding of their…

Information Theory · Computer Science 2017-05-18 Yung-Yih Jian , Henry D. Pfister , Krishna R. Narayanan

We analyze a class of high performance, low decoding-data-flow error-correcting codes suitable for high bit-rate optical-fiber communication systems. A spatially-coupled split-component ensemble is defined, generalizing from the most…

Information Theory · Computer Science 2015-12-04 Lei M. Zhang , Dmitri Truhachev , Frank Kschischang

Low-density parity-check codes are attractive for high throughput applications because of their low decoding complexity per bit, but also because all the codeword bits can be decoded in parallel. However, achieving this in a circuit…

Hardware Architecture · Computer Science 2012-05-14 François Leduc-Primeau , Saied Hemati , Shie Mannor , Warren J. Gross

We propose an improved soft-aided decoding scheme for product codes that approaches the decoding performance of conventional soft-decision TPD with only a 0.2 dB gap while keeping the complexity and internal decoder data flow similarly low…

Information Theory · Computer Science 2022-07-12 Sisi Miao , Lukas Rapp , Laurent Schmalen

In this paper, we introduce an efficient iterative solver for the joint linear-programming (LP) decoding of low-density parity-check (LDPC) codes and finite-state channels (FSCs). In particular, we extend the approach of iterative…

Information Theory · Computer Science 2016-11-17 Byung-Hak Kim , Henry D. Pfister

We propose a novel soft-aided hard-decision decoding algorithm for general product-like codes. It achieves error correcting performance similar to that of a soft-decision turbo decoder for staircase and OFEC codes, while maintaining a low…

Information Theory · Computer Science 2024-05-01 Lukas Rapp , Sisi Miao , Laurent Schmalen

Low-density parity-check codes, a class of capacity-approaching linear codes, are particularly recognized for their efficient decoding scheme. The decoding scheme, known as the sum-product, is an iterative algorithm consisting of passing…

Information Theory · Computer Science 2014-05-27 Nima Noorshams , Aravind Iyengar

We propose a novel binary message passing decoding algorithm for product-like codes based on bounded distance decoding (BDD) of the component codes. The algorithm, dubbed iterative BDD with scaled reliability (iBDD-SR), exploits the channel…

Information Theory · Computer Science 2019-09-20 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva
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