13 papers · ranked by Valyu relevance
Yongchao Wang, Jing Bai
In this paper, we focus on decoding nonbinary low-density parity-check (LDPC) codes in Galois fields of characteristic two via the proximal alternating direction method of multipliers (proximal-ADMM). By exploiting Flanagan/Constant-Weighting embedding techniques and the decomposition technique based on three-variables…
Xiaomeng Guo, Yongchao Wang
—In this paper, we devote to devise a non-binary low-density parity-check (LDPC) decoder in Galois fields of characteristic two ( F 2 q ) via the alternating direction method of multipliers (ADMM) technique. Through the proposed bit embedding technique and the decomposition technique of the three-variables parity-check…
Oscar Ferraz, Vitor Silva, Gabriel Falcao
Low-density parity-check (LDPC) codes are an important feature of several communication and storage applications, offering a flexible and effective method for error correction. These codes are computationally complex and require the exploitation of parallel processing to meet real-time constraints. As advancements in…
Jesús Martínez-Mateo, David Elkouss
with Multiplicatively Repeated Non-Binary LDPC Codes Authors: ['Jesús Martínez-Mateo' 'David Elkouss'] Continuous variable quantum key distribution bears the promise of simple quantum key distribution directly compatible with commercial off the shelf equipment. However, for a long time its performance was hindered by…
Ali Farsiabi, Hamid Ebrahimzad, Masoud Ardakani, Chuandong Li
—Non-binary polar codes (NBPCs) decoded by successive cancellation (SC) algorithm have remarkable bit-errorrate performance compared to the binary polar codes (BPCs). Due to the serial nature, SC decoding suffers from large latency. The latency issue in BPCs has been the topic of extensive research and it has been…
Rongchi Xu, Peiyao Chen, Ling Liu, Min Zhu + 3 more
'Yongpeng Wu' 'Peihong Yuan'] In this paper, we discuss non-binary polar codes using a $2\times2$ matrix over a Galois field GF( $2q$) as the kernel. Conventional construction of non-binary polar codes divides the synthesized channels into frozen channels and information channels. Each information channel carries one…
Jinkai Ren, Dan Song, Huihui Wu, Lin Wang + 3 more
'Jun Chen' 'Sadaf Salehkalaibar'] It is challenging to design an efficient lossy compression scheme for complicated sources based on block codes, especially to approach the theoretical distortion-rate limit. In this paper, a lossy compression scheme is proposed for Gaussian and Laplacian sources. In this scheme, a new…
Erik Perrins, Jun Chen
This paper examines the iterative decoding of low-density parity check (LDPC) codes concatenated with continuous phase modulation (CPM). As relevant case studies, we focus on the family of three CPM waveforms that are embodied in the IRIG-106 aeronautical telemetry standard. Two of these CPMs have recently had LDPC…
Tobias Monsees, Oliver Griebel, Matthias Herrmann, Dirk Wübben + 3 more
'Armin Dekorsy' 'Norbert Wehn' 'Syed A. Jafar'] In Message Passing (MP) decoding of Low-Density Parity Check (LDPC) codes, extrinsic information is exchanged between Check Nodes (CNs) and Variable Nodes (VNs). In a practical implementation, this information exchange is limited by quantization using only a small number…
Lingjun Kong, Haiyang Liu, Yuezhuang Shi, Jiacheng Miao + 1 more
In modern communication systems, the concatenation of a low-density parity-check (LDPC) code with a cyclic redundancy check (CRC) code is commonly used for error correction. In this paper, we propose a low-complexity two-stage scheme for decoding these codes using their concatenation structures. In the first stage, the…
Jovan Milojković, Srdjan Brkić, Predrag Ivaniš, Bane Vasić + 1 more
'Jun Chen'] In this paper, we introduce a novel gradient descent bit-flipping algorithm with a finite state machine (GDBF-wSM) for iterative decoding of low-density parity-check (LDPC) codes. The algorithm utilizes a finite state machine to update variable node potentials-for each variable node, the corresponding…
Lingjun Kong, Haiyang Liu, Wentao Hou, Chao Meng + 2 more
'Sadaf Salehkalaibar'] This paper presents a coding scheme based on bilayer low-density parity-check (LDPC) codes for multi-level cell (MLC) NAND flash memory. The main feature of the proposed scheme is that it exploits the asymmetric properties of an MLC flash channel and stores the extra parity-check bits in the…
Yixin Wang, Fanhui Meng, Xiao Ma
This paper is concerned with the systematic Bernoulli generator matrix (BGM) codes, which have been proved to be capacity-achieving over binary-input output-symmetric (BIOS) channels in terms of bit-error rate (BER). We prove that the systematic BGM codes are also capacity-achieving over BIOS channels in terms of…