17 papers · ranked by Valyu relevance
Gianira N. Alfarano, Julia Lieb, Joachim Rosenthal
In this paper, a construction of $n,k,\delta $ LDPC convolutional codes over arbitrary finite fields, which generalizes the work of Robinson and Bernstein and the later work of Tong is provided. The sets of integers forming a (k, w)-(weak) difference triangle set are used as supports of some columns of the sliding…
Marco Baldi, Marco Bianchi, Giovanni Cancellieri, Franco Chiaraluce
We present a new family of low-density parity-check (LDPC) convolutional codes that can be designed using ordered sets of progressive differences. We study their properties and define a subset of codes in this class that have some desirable features, such as fixed minimum distance and Tanner graphs without short…
Yue Zhao, Francis C. M. Lau
However, the BP decoding algorithm requires intensive computations. For applications like optical communication [3], [4] which requires BERs down to 10−15, using CPU-based programs to simulate the LDPC decoder is impractical. Fortunately, the decoding algorithm possesses a high data-parallelism feature, i.e., the data…
Alberto Tarable, Alessandro Nordio, Fabrizio Dabbene, Roberto Tempo
—This paper deals with the problem of stabilizing an unstable system through networked control over the wireless medium. In such a situation a remote sensor communicates the measurements to the system controller through a noisy channel. In particular, in the AWGN scenario, we show that protographbased LDPC…
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…
Laurent Schmalen, Detlef Suikat, D. Rosener, Vahid Aref + 2 more
'Stephan ten Brink'] Abstract—In this paper, we highlight the class of spatially coupled codes and discuss their applicability to long-haul and submarine optical communication systems. We first demonstrate how to optimize irregular spatially coupled LDPC codes for their use in optical communications with limited…
Yixin Wang, Tingting Zhu, Xiao Ma
We propose in this paper to exploit convolutional low density generator matrix (LDGM) codes for transmission of Bernoulli sources over binary-input output-symmetric (BIOS) channels. To this end, we present a new framework to prove the coding theorems for linear codes, which unifies the channel coding theorem, the…
Zihui Yan, Guanjin Qu, Xin Chen, Gang Zheng + 1 more
DNA-based data storage is a promising solution to the challenges of large-scale data storage. However, the low throughput of the mainstream inkjet-based DNA synthesis method has hindered its widespread adoption. In contrast, high-throughput electrochemical synthesis provides higher throughput but with more nucleotide…
Shen Li, Yongpeng Wu, Yin Xu, Xiaohu You + 2 more
—The sixth generation (6G) wireless communication system will improve the key technical indicators by one to two orders of magnitude, and come with some new features. As a crucial technique to enhance the reliability and efficiency of data transmission, the next generation channel coding is not only required to satisfy…
M. Revathy, R. Saravanan
Low-density parity-check (LDPC) codes have been implemented in latest digital video broadcasting, broadband wireless access (WiMax), and fourth generation of wireless standards. In this paper, we have proposed a high efficient low-density parity-check code (LDPC) decoder architecture for low power applications. This…
Shubham Chandak, Joachim Neu, Kedar Tatwawadi, Jay Mardia + 7 more
As magnetization and semiconductor based storage technologies approach their limits, bio-molecules, such as DNA, have been identified as promising media for future storage systems, due to their high storage density (petabytes/gram) and long-term durability (thousands of years). Furthermore, nanopore DNA sequencing…
Pavel Rybin, Kirill Andreev, Victor Zyablov, Balazs Matuz + 2 more
'Alexey Frolov' 'Aaron Gulliver'] This paper deals with the specific construction of binary low-density parity-check (LDPC) codes. We derive lower bounds on the error exponents for these codes transmitted over the memoryless binary symmetric channel (BSC) for both the well-known maximum-likelihood (ML) and proposed…
Lu Xu, Yixin Ma, Rui Shi, Juanjuan Li + 2 more
'Antonio Guerrieri'] The accurate identification of channel-coding types plays a crucial role in wireless communication systems. The recognition of convolutional codes presents challenges, primarily due to their strong temporal dependencies, varying constraint lengths, and additional contamination from noise. However…
Niklas Gassner, Julia Lieb, Abhinaba Mazumder, Michael Schaller
In this paper, we present a framework for generic decoding of convolutional codes, which allows us to do cryptanalysis of code-based systems that use convolutional codes as public keys. We then apply this framework to information set decoding, study success probabilities and give tools to choose variables. Finally, we…
Julia Lieb, Joachim Rosenthal
It is well known that there is a correspondence between convolutional codes and discrete-time linear systems over finite fields. In this paper, we employ the linear systems representation of a convolutional code to develop a decoding algorithm for convolutional codes over the erasure channel. In this kind of channel…
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…
Authors not listed
Obtaining quantitative information about residence time behavior (i.e., the residence time distribution function) in realistic experimental systems is oftentimes experimentally challenging and numerically complex. The conventional way is to conduct very simple pulse or step tracer experiments or construct elaborate…