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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

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

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

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

We use density evolution to optimize the parameters of binary product codes (PCs) decoded based on the recently introduced iterative bounded distance decoding with scaled reliability. We show that binary PCs with component codes of 3-bit…

Information Theory · Computer Science 2019-08-27 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva , Alex Alvarado

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

Non-binary low-density parity-check (LDPC) codes have some advantages over their binary counterparts, but unfortunately their decoding complexity is a significant challenge. The iterative hard- and soft-reliability based majority-logic…

Information Theory · Computer Science 2015-06-22 Chenrong Xiong , Zhiyuan Yan

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

We introduce a novel soft-aided hard-decision decoder for product codes adopting bit marking via updated reliabilities at each decoding iteration. Gains up to 0.8 dB vs. standard iterative bounded distance decoding and up to 0.3 dB vs. our…

Information Theory · Computer Science 2019-06-25 Gabriele Liga , Alireza Sheikh , Alex Alvarado

In this work, we propose the integration of GLDPC codes with short polar-like component codes, termed GLDPC codes with polar component codes (GLDPC-PC). This approach leverages the good distance properties of polar-like codes and mitigates…

Information Theory · Computer Science 2024-05-10 Binghui Shi , Yongpeng Wu , Yin Xu , Xiqi Gao , Xiaohu You , Wenjun Zhang

In this paper, we consider the problem of iterative detection and decoding (IDD) for multi-antenna systems using low-density parity-check (LDPC) codes. The proposed IDD system consists of a soft-input soft-output parallel interference (PIC)…

Information Theory · Computer Science 2013-04-24 Jingjing Liu , Peng Li , Rodrigo C. de Lamare

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

This paper presents a generalized construction of RS-SPC product codes. A low-complexity joint-decoding scheme is proposed for these codes, in which a BP-based iterative decoding is performed based on the binary expansion of the whole…

Information Theory · Computer Science 2021-12-21 Mingyang Zhu , Ming Jiang , Chunming Zhao

We propose a novel soft-aided low-complexity decoder for product codes based on dynamic reliability scores and error-and-erasure decoding. We observe coding gains of up to 1.2 dB compared to conventional hard-decision decoders.

Information Theory · Computer Science 2022-05-18 Sisi Miao , Lukas Rapp , Laurent Schmalen

We propose a binary message passing decoding algorithm for product codes based on generalized minimum distance decoding (GMDD) of the component codes, where the last stage of the GMDD makes a decision based on the Hamming distance metric.…

Information Theory · Computer Science 2019-01-25 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

We propose iterative detection and decoding (IDD) algorithms with Low-Density Parity-Check (LDPC) codes for Multiple Input Multiple Output (MIMO) systems operating in block-fading and fast Rayleigh fading channels. Soft-input soft-output…

Information Theory · Computer Science 2016-11-17 André Uchoa , Cornelius T. Healy , Rodrigo C. de Lamare

A novel adaptive binary decoding algorithm for LDPC codes is proposed, which reduces the decoding complexity while having a comparable or even better performance than corresponding non-adaptive alternatives. In each iteration the variable…

Information Theory · Computer Science 2009-04-24 Ingmar Land , Gottfried Lechner , Lars K. Rasmussen

Recently, we introduced a new class of finite alphabet iterative decoders (FAIDs) for low-density parity-check (LDPC) codes. These decoders are capable of surpassing belief propagation in the error floor region on the Binary Symmetric…

Information Theory · Computer Science 2016-11-17 David Declercq , Bane Vasic , Shiva Kumar Planjery , Erbao Li

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

In this work, we present an adaptive reliability-driven conditional innovation (AR-CID) decoding algorithm for low-density parity check (LDPC) codes. The proposed AR-CID decoding algorithm consists of one stage of message quality checking…

Information Theory · Computer Science 2026-01-13 Hassan Touati , Rodrigo C. de Lamare
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