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This paper propose a decoder architecture for low-density parity-check convolutional code (LDPCCC). Specifically, the LDPCCC is derived from a quasi-cyclic (QC) LDPC block code. By making use of the quasi-cyclic structure, the proposed…

Information Theory · Computer Science 2016-11-17 Chiu-Wing Sham , Xu Chen , Francis C. M. Lau , Yue Zhao , Wai M. Tam

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

Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has attracted much attention in the research community in the past few years. The aim of LP decoding is to develop an algorithm which has error-correcting performance…

Information Theory · Computer Science 2010-10-05 Mayur Punekar , Mark F. Flanagan

Density evolution for protograph Low-Density Parity-Check (LDPC) codes is considered, and it is shown that the message-error rate falls double-exponentially with iterations whenever the degree-2 subgraph of the protograph is cycle-free and…

Information Theory · Computer Science 2016-11-18 Asit Kumar Pradhan , Andrew Thangaraj , Arunkumar Subramanian

We introduce fair-density parity-check (FDPC) codes targeting high-rate applications. In particular, we start with a base parity-check matrix $H_b$ of dimension $2 \sqrt{n} \times n$, where $n$ is the code block length, and the number of…

Information Theory · Computer Science 2024-02-13 Hessam Mahdavifar

This paper basically expresses the core fundamentals and brief overview of the research of R. G. GALLAGER [1] on Low-Density Parity-Check (LDPC) codes and various parameters related to LDPC codes like, encoding and decoding of LDPC codes,…

Information Theory · Computer Science 2020-09-21 Saumya Borwankar , Dhruv Shah

Reed-Muller (RM) codes exhibit good performance under maximum-likelihood (ML) decoding due to their highly-symmetric structure. In this paper, we explore the question of whether the code symmetry of RM codes can also be exploited to achieve…

Information Theory · Computer Science 2018-04-30 Elia Santi , Christian Häger , Henry D. Pfister

A new method for analyzing low density parity check (LDPC) codes and low density generator matrix (LDGM) codes under bit maximum a posteriori probability (MAP) decoding is introduced. The method is based on a rigorous approach to spin…

Information Theory · Computer Science 2016-11-18 Andrea Montanari

An ultra-high throughput low-density parity check (LDPC) decoder with an unrolled full-parallel architecture is proposed, which achieves the highest decoding throughput compared to previously reported LDPC decoders in the literature. The…

One of the major challenges in Wireless Body Area Networks (WBANs) is to prolong the lifetime of network. Traditional research work focuses on minimizing transmit power; however, in the case of short range communication the consumption…

Networking and Internet Architecture · Computer Science 2013-09-18 O. Rehman , N. Javaid , A. Haider , N. Amjad , A. A. Awan , M. Qamar , Z. A. Khan , U. Qasim

We consider linear-programming (LP) decoding of low-density parity-check (LDPC) codes. While it is clear that one can use any general-purpose LP solver to solve the LP that appears in the decoding problem, we argue in this paper that the LP…

Information Theory · Computer Science 2007-07-16 Pascal O. Vontobel , Ralf Koetter

Partial decoding has the potential to achieve a larger capacity region than full decoding in two-way relay (TWR) channels. Existing partial decoding realizations are however designed for Gaussian channels and with a static physical layer…

Information Theory · Computer Science 2016-11-15 Jianquan Liu , Meixia Tao , Youyun Xu

We consider automorphism ensemble decoding (AED) of quasi-cyclic (QC) low-density parity-check (LDPC) codes. Belief propagation (BP) decoding on the conventional factor graph is equivariant to the quasi-cyclic automorphisms and therefore…

Information Theory · Computer Science 2022-08-17 Marvin Geiselhart , Moustafa Ebada , Ahmed Elkelesh , Jannis Clausius , Stephan ten Brink

The theoretical analysis of detection and decoding of low-density parity-check (LDPC) codes transmitted over channels with two-dimensional (2D) interference and additive white Gaussian noise (AWGN) is provided in this paper. The detection…

Information Theory · Computer Science 2017-01-17 Jun Yao , Kah Chan Teh , Kwok Hung Li

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

To reduce the implementation complexity of a belief propagation (BP) based low-density parity-check (LDPC) decoder, shuffled BP decoding schedules, which serialize the decoding process by dividing a complete parallel message-passing…

Information Theory · Computer Science 2012-02-07 Yen-Cheng Hsu , Tofar C. -Y. Chang , Yu T. Su , Jian-Jia Weng

Efficient decoding is crucial to high-throughput and power-sensitive wireless communication scenarios. A theoretical analysis of the performance-complexity tradeoff toward low-complexity decoding is required for a better understanding of…

Information Theory · Computer Science 2025-11-12 Qingqing Peng , Dawei Yin , Dongxu Chang , Yuan Li , Huazi Zhang , Guiying Yan , Guanghui Wang

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

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

We show how the iterative decoding threshold of tailbiting spatially coupled (SC) low-density parity-check (LDPC) code ensembles can be improved over the binary input additive white Gaussian noise channel by allowing the use of different…

Information Theory · Computer Science 2018-02-19 Thomas Jerkovits , Gianluigi Liva , Alexandre Graell i Amat
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