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In this paper we study the iterative decoding threshold performance of non-binary spatially-coupled low-density parity-check (NB-SC-LDPC) code ensembles for both the binary erasure channel (BEC) and the binary-input additive white Gaussian…

Information Theory · Computer Science 2016-11-18 Lai Wei , Toshiaki Koike-Akino , David G. M. Mitchell , Thomas E. Fuja , Daniel J. Costello

The recent development of deep learning methods provides a new approach to optimize the belief propagation (BP) decoding of linear codes. However, the limitation of existing works is that the scale of neural networks increases rapidly with…

Information Theory · Computer Science 2021-02-11 Jincheng Dai , Kailin Tan , Zhongwei Si , Kai Niu , Mingzhe Chen , H. Vincent Poor , Shuguang Cui

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

In this paper, we propose an efficient reliability based segmentation-discarding decoding (SDD) algorithm for short block-length codes. A novel segmentation-discarding technique is proposed along with the stopping rule to significantly…

Information Theory · Computer Science 2019-01-23 Chentao Yue , Mahyar Shirvanimoghaddam , Yonghui Li , Branka Vucetic

Turbo codes and CRC codes are usually decoded separately according to the serially concatenated inner codes and outer codes respectively. In this letter, we propose a hybrid decoding algorithm of turbo-CRC codes, where the outer codes, CRC…

Signal Processing · Electrical Eng. & Systems 2020-03-26 Yuejun Wei , Ming Jiang , Wen Chen , Yuhang Yang

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

Surface crack segmentation poses a challenging computer vision task as background, shape, colour and size of cracks vary. In this work we propose optimized deep encoder-decoder methods consisting of a combination of techniques which yield…

Computer Vision and Pattern Recognition · Computer Science 2021-08-27 Jacob König , Mark Jenkins , Mike Mannion , Peter Barrie , Gordon Morison

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

While long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels when decoded by a low complexity successive cancelation (SC) algorithm, the error performance of the SC algorithm is inferior for polar…

Hardware Architecture · Computer Science 2016-11-17 Jun Lin , Chenrong Xiong , Zhiyuan Yan

We consider probabilistic shaping to maximize the achievable information rate of coded modulation (CM) with hard decision decoding. The proposed scheme using binary staircase codes outperforms its uniform CM counterpart by more than 1.3 dB…

Information Theory · Computer Science 2017-05-08 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

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

We investigate error propagation in sliding window decoding of braided convolutional codes (BCCs). Previous studies of BCCs have focused on iterative decoding thresholds, minimum distance properties, and their bit error rate (BER)…

Information Theory · Computer Science 2020-04-30 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello, , Baoming Bai

Decoders that provide an estimate of the probability of a logical failure conditioned on the error syndrome ("soft-output decoders") can reduce the overhead cost of fault-tolerant quantum memory and computation. In this work, we construct…

Quantum Physics · Physics 2024-06-04 Nadine Meister , Christopher A. Pattison , John Preskill

A new class of codes, Extended Product (EPC) Codes, consisting of a product code with a number of extra parities added, is presented and applications for erasure decoding are discussed. An upper bound on the minimum distance of EPC codes is…

Information Theory · Computer Science 2018-01-01 Mario Blaum , Steven Hetzler

We introduce a sliding window decoder based on belief propagation (BP) with guided decimation for the purposes of decoding quantum low-density parity-check codes in the presence of circuit-level noise. Windowed decoding keeps the decoding…

Quantum Physics · Physics 2024-03-29 Anqi Gong , Sebastian Cammerer , Joseph M. Renes

We propose an Iterative Detection and Decoding (IDD) scheme with Low Density Parity Check (LDPC) codes for Multiple Input Multiple Output (MIMO) systems for block-fading $F = 2$ and fast fading Rayleigh channels. An IDD receiver with soft…

Information Theory · Computer Science 2014-04-09 A. G. D. Uchoa , C. T. Healy , R. C. de Lamare , P. Li

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

The design of optimal linear block codes capable of being efficiently decoded is of major concern, especially for short block lengths. As near capacity-approaching codes, Low-Density Parity-Check (LDPC) codes possess several advantages over…

Information Theory · Computer Science 2024-10-11 Yoni Choukroun , Lior Wolf

Finite alphabet iterative decoders (FAIDs) for LDPC codes were recently shown to be capable of surpassing the Belief Propagation (BP) decoder in the error floor region on the Binary Symmetric channel (BSC). More recently, the technique of…

Information Theory · Computer Science 2012-07-20 Shiva Kumar Planjery , Bane Vasic , David Declercq

We introduce a unified generalization of several well-established high-throughput coding techniques including staircase codes, tiled diagonal zipper codes, continuously interleaved codes, open forward error correction (OFEC) codes, and…

Information Theory · Computer Science 2025-01-24 Mohannad Shehadeh , Frank R. Kschischang