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Low-density parity-check (LDPC) codes have been successfully commercialized in communication systems due to their strong error correction capabilities and simple decoding process. However, the error-floor phenomenon of LDPC codes, in which…

Information Theory · Computer Science 2023-10-31 Hee-Youl Kwak , Dae-Young Yun , Yongjune Kim , Sang-Hyo Kim , Jong-Seon No

In this paper, we propose a finite alphabet message passing algorithm for LDPC codes that replaces the standard min-sum variable node update rule by a mapping based on generic look-up tables. This mapping is designed in a way that maximizes…

Information Theory · Computer Science 2015-10-16 Alexios Balatsoukas-Stimming , Michael Meidlinger , Reza Ghanaatian , Gerald Matz , Andreas Burg

In this paper, we present a fast min-sum algorithm for decoding LDPC codes over GF(q). Our algorithm is different from the one presented by David Declercq and Marc Fossorier in ISIT 05 only at the way of speeding up the horizontal scan in…

Information Theory · Computer Science 2016-11-15 Xiaofei Huang , Suquan Ding , Zhixing Yang , Youshou Wu

5G New Radio (NR) has stringent demands on both performance and complexity for the design of low-density parity-check (LDPC) decoding algorithms and corresponding VLSI implementations. Furthermore, decoders must fully support the wide range…

Information Theory · Computer Science 2024-02-20 Yuqing Ren , Hassan Harb , Yifei Shen , Alexios Balatsoukas-Stimming , Andreas Burg

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

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 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

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

Fault tolerance in quantum protocols requires contributions from error-correcting codes and their suitable decoders. Quantum Low-Density Parity Check (QLDPC) codes are one of the most explored quantum codes that have good coding rate and…

Quantum Physics · Physics 2026-04-24 Mainak Bhattacharyya , Ankur Raina

We propose a quantized decoding algorithm for low- density parity-check codes where the variable node update rule of the standard min-sum algorithm is replaced with a look-up table (LUT) that is designed using an information-theoretic…

Information Theory · Computer Science 2015-12-02 Michael Meidlinger , Alexios Balatsoukas-Stimming , Andreas Burg , Gerald Matz

In this work, we analyze efficient window shift schemes for windowed decoding of spatially coupled low-density parity-check (SC-LDPC) codes, which is known to yield close-tooptimal decoding results when compared to full belief propagation…

Information Theory · Computer Science 2018-10-03 Kevin Klaiber , Sebastian Cammerer , Laurent Schmalen , Stephan ten Brink

A low-precision analog-to-digital converter (ADC) is required to implement a frontend device of wideband digital communication systems in order to reduce its power consumption. The goal of this paper is to present a novel joint quantizer…

Information Theory · Computer Science 2018-04-18 Tadashi Wadayama , Satoshi Takabe

The design of low-density parity-check (LDPC) code ensembles optimized for a finite number of decoder iterations is investigated. Our approach employs EXIT chart analysis and differential evolution to design such ensembles for the binary…

Information Theory · Computer Science 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

This paper proposes a "quasi-synchronous" design approach for signal processing circuits, in which timing violations are permitted, but without the need for a hardware compensation mechanism. The case of a low-density parity-check (LDPC)…

Information Theory · Computer Science 2017-11-21 François Leduc-Primeau , Frank R. Kschischang , Warren J. Gross

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

In this paper, we propose a framework of the mutual information-maximizing (MIM) quantized decoding for low-density parity-check (LDPC) codes by using simple mappings and fixed-point additions. Our decoding method is generic in the sense…

Information Theory · Computer Science 2022-02-15 Peng Kang , Kui Cai , Xuan He , Shuangyang Li , Jinhong Yuan

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

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

Channel coding aims to minimize errors that occur during the transmission of digital information from one place to another. Low-density parity-check (LDPC) codes can detect and correct transmission errors if one encodes the original…

Information Theory · Computer Science 2018-03-14 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

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