14 papers · ranked by Valyu relevance
Jiahui Meng, Danfeng Zhao, Liang Zhang
In order to enhance the reliability and anti-interference performance of wireless sensor network (WSN) data transmission, this paper designs the low power scheme of the WSN from the angle of error correction coding and proposes the hybrid check matrix construction (HC) algorithm based on iterative coding algorithms…
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…
Koji Tazoe, Kenta Kasai, Kohichi Sakaniwa
—We study LDPC codes for the channel with input x ∈ F mq and output y = x + z ∈ F mq . The aim of this paper is to evaluate decoding performance of q m-ary non-binary LDPC codes for large m. We give density evolution and decoding performance evaluation for regular non-binary LDPC codes and spatially-coupled (SC) codes.…
Erdal Arıkan, Najeeb ul Hassan, Michael Lentmaier, G. Montorsi + 1 more
The history of channel coding began hand in hand with Shannon's information theory [1]. Following on the pioneering work of Golay [2] and Hamming [3], the majority of linear codes developed in the early ages of coding theory were "error correction" codes in the sense that their aim is to correct errors made by the…
Yang Yu, Wen Chen, Jun Li, Xiao Ma + 1 more
—The equivalent binary parity check matrices for the binary images of the cycle-free non-binary LDPC codes have numerous bit-level cycles. In this paper, we show how to transform these binary parity check matrices into their cycle-free forms. It is shown that the proposed methodology can be adopted not only for the…
Fabian Steiner, Gianluigi Liva, Georg Böcherer
—This work shows how non-binary low-density paritycheck codes over F2p can be combined with probabilistic amplitude shaping (PAS) (Bocherer, ¨ et al., 2015), which combines forward-error correction with non-uniform signaling for powerefficient communication. Ultra-sparse low-density parity-check codes over F64 and F256…
Valeriya Potapova, Alexey Frolov
—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. Unfortunately, their decoding complexity is still large. In order to reduce the…
Haoqiang Liu, Hongbo Zhao, Xiaowen Chen, Wenquan Feng + 1 more
Modern navigation satellite communication has the characteristic of high transmitting rate. To avoid bit errors in data transmission, low density parity check (LDPC) codes are widely recognized as efficient ways for navigation communication. Conventionally, the LDPC decoding is applied for additive white Gaussian noise…
Mayur Punekar, Pascal O. Vontobel, Mark F. Flanagan
—Linear Programming (LP) decoding of Low-Density Parity-Check (LDPC) codes has attracted much attention in the research community in the past few years. LP decoding has been derived for binary and nonbinary linear codes. However, the most important problem with LP decoding for both binary and nonbinary linear codes is…
Jiahui Meng, Danfeng Zhao, Hai Tian, Liang Zhang
In order to improve the performance of non-binary low-density parity check codes (LDPC) hard decision decoding algorithm and to reduce the complexity of decoding, a sum of the magnitude for hard decision decoding algorithm based on loop update detection is proposed. This will also ensure the reliability, stability and…
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…
Elizabeth Tapia, Flavio Spetale, Flavia Krsticevic, Laura Angelone + 2 more
'Pilar Bulacio' 'Lars Kaderali'] For many parallel applications of Next-Generation Sequencing (NGS) technologies short barcodes able to accurately multiplex a large number of samples are demanded. To address these competitive requirements, the use of error-correcting codes is advised. Current barcoding systems are…
Imanol Granada, Pedro M. Crespo, Javier Garcia-Frías
In this paper, we look at the problem of implementing high-throughput Joint Source- Channel (JSC) coding schemes for the transmission of binary sources with memory over AWGN channels. The sources are modeled either by a Markov chain (MC) or a hidden Markov model (HMM). We propose a coding scheme based on the…
Shubham Chandak, Kedar Tatwawadi, Billy Lau, Jay Mardia + 6 more
With the amount of data being stored increasing rapidly, there is significant interest in exploring alternative storage technologies. In this context, DNA-based storage systems can offer significantly higher storage densities (petabytes/gram) and durability (thousands of years) than current technologies. Specifically…