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The so-called min-sum algorithm has been applied for decoding lattices constructed by Construction D'. We generalize this iterative decoding algorithm to decode lattices constructed by Construction D. An upper bound on the decoding…

Cryptography and Security · Computer Science 2012-01-20 Hassan Mehri

In this paper, we propose an efficient decoding algorithm for short low-density parity check (LDPC) codes by carefully combining the belief propagation (BP) decoding and order statistic decoding (OSD) algorithms. Specifically, a modified BP…

Information Theory · Computer Science 2023-09-06 Weiyang Zhang , Chentao Yue , Yonghui Li , Branka Vucetic

Applying the max-product (and belief-propagation) algorithms to loopy graphs is now quite popular for best assignment problems. This is largely due to their low computational complexity and impressive performance in practice. Still, there…

Information Theory · Computer Science 2011-07-19 Yung-Yih Jian , Henry D. Pfister

Neural Normalized MinSum (N-NMS) decoding delivers better frame error rate (FER) performance on linear block codes than conventional normalized MinSum (NMS) by assigning dynamic multiplicative weights to each check-to-variable message in…

Information Theory · Computer Science 2021-07-12 Linfang Wang , Sean Chen , Jonathan Nguyen , Divsalar Dariush , Richard Wesel

Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes offer excellent decoding performance and can be elegantly decoded with a Windowed Decoder (WD). We determine an efficient WD configuration with low control overhead. For fair…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Janik Frenzel , Stefan Müller-Weinfurtner , Johannes Huber , Ralf Müller

In this letter, we propose a reliability-based windowed decoding scheme for spatially-coupled (SC) low-density parity-check (LDPC) codes. To mitigate the error propagation along the sliding windowed decoder of the SC LDPC codes, a partial…

Information Theory · Computer Science 2018-05-10 Peng Kang , Yixuan Xie , Lei Yang , Jinhong Yuan

In this letter, we develop an efficient linear programming (LP) decoding algorithm for low-density parity-check (LDPC) codes. We first relax the maximum likelihood (ML) decoding problem to a LP problem by using check-node decomposition.…

Information Theory · Computer Science 2019-01-24 Jing Bai , Yongchao Wang , Francis C. M. Lau

In this paper, a new method for decoding Low Density Parity Check (LDPC) codes, based on Multi-Layer Perceptron (MLP) neural networks is proposed. Due to the fact that in neural networks all procedures are processed in parallel, this method…

Information Theory · Computer Science 2014-11-14 Alireza Karami , Mahmoud Ahmadian Attari

In this paper, we introduce two new methods of mitigating decoder error propagation for low-latency sliding window decoding (SWD) of spatially coupled low density parity check (SC-LDPC) codes. Building on the recently introduced idea of…

Information Theory · Computer Science 2020-04-21 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

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

Non-uniform message quantization techniques such as reconstruction-computation-quantization (RCQ) improve error-correction performance and decrease hardware complexity of low-density parity-check (LDPC) decoders that use a flooding…

Signal Processing · Electrical Eng. & Systems 2021-04-20 Caleb Terrill , Linfang Wang , Sean Chen , Chester Hulse , Calvin Kuo , Richard Wesel , Dariush Divsalar

The near channel performance of Low Density Parity Check Codes (LDPC) has motivated its wide applications. Iterative decoding of LDPC codes provides significant implementation challenges as the complexity grows with the code size. Recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-29 Sudeep Kanur , Georgios Georgakarakos , Antti Siirilä , Jérémie Lagravière , Kristian Nybom , Sébastien Lafond , Johan Lilius

In this letter we present an improved distributed video coding (DVC) scheme based on polar coding techniques. Firstly, we adapt log-likelihood ratios (LLRs) for DVC with integer implementation of a discrete cosine transform (DCT). We…

Information Theory · Computer Science 2023-01-19 Grigorii Trofimiuk , Evgeny Belyaev , Peter Trifonov

A method for estimating the performance of low-density parity-check (LDPC) codes decoded by hard-decision iterative decoding algorithms on binary symmetric channels (BSC) is proposed. Based on the enumeration of the smallest weight error…

Information Theory · Computer Science 2007-07-13 Hua Xiao , Amir H. Banihashemi

An efficient implementation of min-sum SC/list decoding of convolutional polar codes is proposed. The complexity of the proposed implementation of SC decoding is more than two times smaller than the straightforward implementation. Moreover,…

Information Theory · Computer Science 2020-07-14 Ruslan Morozov

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

Ensuring extremely high reliability in channel coding is essential for 6G networks. The next-generation of ultra-reliable and low-latency communications (xURLLC) scenario within 6G networks requires frame error rate (FER) below $10^{-9}$.…

Information Theory · Computer Science 2024-11-18 Hee-Youl Kwak , Dae-Young Yun , Yongjune Kim , Sang-Hyo Kim , Jong-Seon No

Cooperative optimization is a new way for finding global optima of complicated functions of many variables. It has some important properties not possessed by any conventional optimization methods. It has been successfully applied in solving…

Information Theory · Computer Science 2007-07-13 Xiaofei Huang

A quantized message passing decoding algorithm for low-density parity-check codes is presented. The algorithm relies on the min approximation at the check nodes, and on modelling the variable node inbound messages as observations of an…

Information Theory · Computer Science 2021-01-01 Emna Ben Yacoub

We analyze the performance of quantized min-sum decoding of low-density parity-check codes under unreliable message storage. To this end, we introduce a simple bit-level error model and show that decoder symmetry is preserved under this…

Information Theory · Computer Science 2014-04-08 Alexios Balatsoukas-Stimming , Andreas Burg