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Coding schemes for discrete memoryless multicast networks (DM-MN) with rate-limited feedback from the receivers and relays to the transmitter are proposed. The schemes improve over the noisy network coding proposed by Lim et al.. For the…

Information Theory · Computer Science 2016-11-17 Youlong Wu

In this paper, we propose the explicit construction of a new class of lattices based on polar codes, which are provably good for the additive white Gaussian noise (AWGN) channel. We follow the multilevel construction of Forney \textit{et…

Information Theory · Computer Science 2013-07-05 Yanfei Yan , Cong Ling , Xiaofu Wu

For a continuous-time additive white Gaussian noise (AWGN) channel with possible feedback, it has been shown that as sampling gets infinitesimally fine, the mutual information of the associative discrete-time channels converges to that of…

Information Theory · Computer Science 2020-08-26 Guangyue Han , Shlomo Shamai

We study the best exponential decay in the blocklength of the probability of error that can be achieved in the transmission of a single bit over the Gaussian channel with an active noisy Gaussian feedback link. We impose an \emph{expected}…

Information Theory · Computer Science 2009-09-24 Young-Han Kim , Amos Lapidoth , Tsachy Weissman

Channel capacities quantify the optimal rates of sending information reliably over noisy channels. Usually, the study of capacities assumes that the circuits which sender and receiver use for encoding and decoding consist of perfectly…

Quantum Physics · Physics 2024-04-15 Paula Belzig , Matthias Christandl , Alexander Müller-Hermes

DNA storage has emerged as a promising solution for large-scale and long-term data preservation. Among various error types, insertions are the most frequent errors occurring in DNA sequences, where the inserted symbol is often identical or…

Information Theory · Computer Science 2026-04-07 Hengfeng Liu , Chunming Tang , Cuiling Fan

We introduce a novel framework for implementing error-correction in constrained systems. The main idea of our scheme, called Quantized-Constraint Concatenation (QCC), is to employ a process of embedding the codewords of an error-correcting…

Information Theory · Computer Science 2023-02-07 Dor Elimelech , Tom Meyerovitch , Moshe Schwartz

The development of delay-sensitive applications that require ultra high reliability created an additional challenge for wireless networks. This led to Ultra-Reliable Low-Latency Communications, as a use case that 5G and beyond 5G systems…

Information Theory · Computer Science 2023-06-16 Nourhan Hesham , Mohamed Bouzid , Ahmad Abdel-Qader , Anas Chaaban

The feedback capacity of additive stationary Gaussian noise channels is characterized as the solution to a variational problem. Toward this end, it is proved that the optimal feedback coding scheme is stationary. When specialized to the…

Information Theory · Computer Science 2007-07-13 Young-Han Kim

The problem of communicating a single message to a destination in presence of multiple relay nodes, referred to as cooperative unicast network, is considered. First, we introduce "Mixed Noisy Network Coding" (MNNC) scheme which generalizes…

Information Theory · Computer Science 2014-10-21 Arash Behboodi , Pablo Piantanida

We analyze deterministic message identification via channels with non-discrete additive white noise and with a noiseless feedback link under both average power and peak power constraints. The identification task is part of Post Shannon…

Information Theory · Computer Science 2022-02-18 Moritz Wiese , Wafa Labidi , Christian Deppe , Holger Boche

Theoretical analysis has long indicated that feedback improves the error exponent but not the capacity of single-user memoryless channels. Recently Polyanskiy et al. studied the benefit of variable-length feedback with termination (VLFT)…

Information Theory · Computer Science 2013-02-26 Tsung-Yi Chen , Adam R. Williamson , Richard D. Wesel

Designing capacity-achieving coding schemes for the band-limited additive colored Gaussian noise (ACGN) channel has been and is still a challenge. In this paper, the capacity of the band-limited ACGN channel is studied from a fundamental…

Information Theory · Computer Science 2023-06-02 Holger Boche , Andrea Grigorescu , Rafael F. Schaefer , H. Vincent Poor

In this paper, we presented three approaches to improve the design of Kite codes (newly proposed rateless codes), resulting in an ensemble of rate-compatible LDPC codes with code rates varying "continuously" from 0.1 to 0.9 for additive…

Information Theory · Computer Science 2012-05-21 Kai Zhang , Xiao Ma , Shancheng Zhao , Baoming Bai , Xiaoyi Zhang

For the additive Gaussian noise channel with average codeword power constraint, sparse superposition codes and adaptive successive decoding is developed. Codewords are linear combinations of subsets of vectors, with the message indexed by…

Information Theory · Computer Science 2010-06-22 Andrew R Barron , Antony Joseph

Brain-inspired machine learning is gaining increasing consideration, particularly in computer vision. Several studies investigated the inclusion of top-down feedback connections in convolutional networks; however, it remains unclear how and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 Andrea Alamia , Milad Mozafari , Bhavin Choksi , Rufin VanRullen

Consider a problem of forward error-correction for the additive white Gaussian noise (AWGN) channel. For finite blocklength codes the backoff from the channel capacity is inversely proportional to the square root of the blocklength. In this…

Information Theory · Computer Science 2014-08-12 Yury Polyanskiy , Yihong Wu

It is well known that the problem of computing the feedback capacity of a stationary Gaussian channel can be recast as an infinite-dimensional optimization problem; moreover, necessary and sufficient conditions for the optimality of a…

Information Theory · Computer Science 2018-01-10 Tao Liu , Guangyue Han

In this paper, we revisit the design of Raptor codes for binary input additive white Gaussian noise (BIAWGN) channels, where we are interested in very low signal to noise ratios (SNRs). A linear programming degree distribution optimization…

Information Theory · Computer Science 2018-07-13 Mahyar Shirvanimoghaddam , Sarah J. Johnson

In a recent paper [1] an improved analysis concerning the analysis of List Decoding was presented. The event that the correct codeword is excluded from the list is central. For the additive white Gaussian noise (AWGN) channel an important…

Information Theory · Computer Science 2007-07-13 Tor M. Aulin