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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…

信息论 · 计算机科学 2016-11-17 Ian P. Mulholland , Enrico Paolini , Mark F. Flanagan

In this paper, we propose a new design method of irregular spatially-coupled low-density parity-check (SC-LDPC) codes with non-uniform degree distributions by linear programming (LP). In general, irregular SC-LDPC codes with non-uniform…

信息论 · 计算机科学 2018-03-28 Heeyoul Kwak , Jong-Seon No , Hosung Park

The problem of designing high rate, full diversity noncoherent space-time block codes (STBCs) with low encoding and decoding complexity is addressed. First, the notion of $g$-group encodable and $g$-group decodable linear STBCs is…

信息论 · 计算机科学 2016-11-17 G. Susinder Rajan , B. Sundar Rajan

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…

信息论 · 计算机科学 2009-04-24 Ingmar Land , Gottfried Lechner , Lars K. Rasmussen

We propose a new low-density parity-check code construction scheme based on 2-lifts. The proposed codes have an advantage of admitting efficient hardware implementations. With the motivation of designing codes with low error floors, we…

信息论 · 计算机科学 2009-08-27 Xudong Ma , En-hui Yang

This paper describes an efficient implementation of binning for the relay channel using low-density parity-check (LDPC) codes. We devise bilayer LDPC codes to approach the theoretically promised rate of the decode-and-forward relaying…

信息论 · 计算机科学 2016-11-17 Peyman Razaghi , Wei Yu

Low-density parity-check (LDPC) codes together with belief propagation (BP) decoding yield exceptional error correction capabilities in the large block length regime. Yet, there remains a gap between BP decoding and maximum likelihood…

信息论 · 计算机科学 2025-01-22 Jonathan Mandelbaum , Holger Jäkel , Laurent Schmalen

We address the problem of performing message-passing-based decoding of quantum LDPC codes under hardware latency limitations. We propose a novel way to do layered decoding that suits quantum constraints and outperforms flooded scheduling,…

We investigate iterative low-resolution message-passing algorithms for quasi-cyclic LDPC codes with horizontal and vertical layered schedules. Coarse quantization and layered scheduling are highly relevant for hardware implementations to…

信息论 · 计算机科学 2022-12-19 Philipp Mohr , Gerhard Bauch

In this paper, we introduce a new practical and general method for solving the main problem of designing the capacity approaching, optimal rate, irregular low-density parity-check (LDPC) code ensemble over binary erasure channel (BEC).…

信息论 · 计算机科学 2016-11-18 H. Tavakoli , M. Ahmadian Attari , M. Reza Peyghami

Most existing works on analyzing the performance of a random ensemble of low-density parity-check (LDPC) codes assume that the degree distributions of the two ends of a randomly selected edge are independent. In the paper, we take one step…

信息论 · 计算机科学 2023-04-20 Hsiao-Wen Yu , Cheng-En Lee , Ruhui Zhang , Cheng-Shang Chang , Duan-Shin Lee

Binary LDPC coded relay systems have been well studied previously with the assumption of infinite codeword length. In this paper, we deal with non-binary LDPC codes which can outperform their binary counterpart especially for practical…

信息论 · 计算机科学 2011-08-17 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil , Kohichi Sakaniwa

This paper studies coding schemes for the $q$-ary symmetric channel based on binary low-density parity-check (LDPC) codes that work for any alphabet size $q=2^m$, $m\in\mathbb{N}$, thus complementing some recently proposed packet-based…

信息论 · 计算机科学 2015-03-13 Claudio Weidmann , Gottfried Lechner

Despite encouraging advances in the design of relay codes, several important challenges remain. Many of the existing LDPC relay codes are tightly optimized for fixed channel conditions and not easily adapted without extensive…

信息论 · 计算机科学 2016-11-18 Thuy Van Nguyen , Aria Nosratinia , Dariush Divsalar

In this paper, we propose to study and optimize a very general class of LDPC codes whose variable nodes belong to finite sets with different orders. We named this class of codes Hybrid LDPC codes. Although efficient optimization techniques…

信息论 · 计算机科学 2007-07-16 Lucile Sassatelli , David Declercq

We address the problem of constructing of coding schemes for the channels with high-order modulations. It is known, that non-binary LDPC codes are especially good for such channels and significantly outperform their binary counterparts.…

信息论 · 计算机科学 2017-02-09 Valeriya Potapova , Alexey Frolov

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

信号处理 · 电气工程与系统科学 2020-03-04 Yang Yu , Wen Chen , Lili Wei

We propose a deterministic method to design irregular Low-Density Parity-Check (LDPC) codes for binary erasure channels (BEC). Compared to the existing methods, which are based on the application of asymptomatic analysis tools such as…

信息论 · 计算机科学 2008-01-24 Hamid Saeedi , Amir H. Banihashemi

In this paper, we propose a non-uniform windowed decoder for multi-dimensional spatially-coupled LDPC (MD-SC-LDPC) codes over the binary erasure channel. An MD-SC-LDPC code is constructed by connecting together several SC-LDPC codes into…

信息论 · 计算机科学 2020-05-13 Lev Tauz , Homa Esfahanizadeh , Lara Dolecek

This paper considers the optimization of multi-edge type low-density parity-check (METLDPC) codes to maximize the decoding threshold. We propose an algorithm to jointly optimize the node degree distribution and the multi-edge structure of…

信息论 · 计算机科学 2016-05-17 Sachini Jayasooriya , Mahyar Shirvanimoghaddam , Lawrence Ong , Sarah J. Johnson
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