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Related papers: Partial Enumerative Sphere Shaping

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In this work, an explicit wiretap coding scheme based on polar lattices is proposed to achieve the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel. Firstly, polar lattices are used to construct secrecy-good…

Information Theory · Computer Science 2017-12-27 Ling Liu , Yanfei Yan , Cong Ling

This paper investigates polar codes for the additive white Gaussian noise (AWGN) channel. The scaling exponent $\mu$ of polar codes for a memoryless channel $q_{Y|X}$ with capacity $I(q_{Y|X})$ characterizes the closest gap between the…

Information Theory · Computer Science 2017-10-11 Silas L. Fong , Vincent Y. F. Tan

We consider the continuous-time ARMA(1,1) Gaussian channel and derive its feedback capacity in closed form. More specifically, the channel is given by $\boldsymbol{y}(t) =\boldsymbol{x}(t) +\boldsymbol{z}(t)$, where the channel input…

Information Theory · Computer Science 2024-04-11 Jun Su , Guangyue Han , Shlomo Shamai

In this work, we study scaling limits of shallow Bayesian neural networks (BNNs) via their connection to Gaussian processes (GPs), with an emphasis on statistical modeling, identifiability, and scalable inference. We first establish a…

Machine Learning · Statistics 2026-02-27 Gracielle Antunes de Araújo , Flávio B. Gonçalves

This work establishes that the physical layer can be used to perform information-theoretic authentication in additive white Gaussian noise channels, as long as the adversary is not omniscient. The model considered consists of an encoder,…

Information Theory · Computer Science 2021-11-12 Eric Graves , Allison Beemer , Jorg Kliewer , Oliver Kosut , Paul Yu

A simple model for image formation in linear shift-invariant systems is considered, in which both the detected signal and the noise variance are varying slowly compared to the point-spread function of the system. It is shown that within the…

Medical Physics · Physics 2017-08-10 Timur Gureyev , Yakov Nesterets , Frank de Hoog

We develop several analytical lower bounds on the capacity of binary insertion and deletion channels by considering independent uniformly distributed (i.u.d.) inputs and computing lower bounds on the mutual information between the input and…

Information Theory · Computer Science 2015-03-17 Mojtaba Rahmati , Tolga M. Duman

Band-trellis enumerative sphere shaping is proposed to decrease the energy variations in channel input sequences. Against sphere shaping, 0.74 dB SNR gain and up to 9% increase in data rates are demonstrated for single-span systems.

Signal Processing · Electrical Eng. & Systems 2022-01-11 Yunus Can Gültekin , Alex Alvarado , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Frans M. J. Willems

When recovering a sparse signal from noisy compressive linear measurements, the distribution of the signal's non-zero coefficients can have a profound effect on recovery mean-squared error (MSE). If this distribution was apriori known, then…

Information Theory · Computer Science 2015-06-05 Jeremy P. Vila , Philip Schniter

This letter generalizes noise modulation by introducing two voltage biases and employing non-Gaussian noise distributions, such as Mixture of Gaussian (MoG) and Laplacian, in addition to traditional Gaussian noise. The proposed framework…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Hadi Zayyani , Mohammad Salman , Felipe A. P. de Figueiredo , Rausley A. A. de Souza

In this article, we are proposing a closed-form solution for the capacity of the single quantum channel. The Gaussian distributed input has been considered for the analytical calculation of the capacity. In our previous couple of papers, we…

Information Theory · Computer Science 2023-02-17 Mouli Chakraborty , Harun Siljak , Indrakshi Dey , Nicola Marchetti

In this paper, the k-th order autoregressive moving average (ARMA(k)) Gaussian wiretap channel with noiseless causal feedback is considered, in which an eavesdropper receives noisy observations of the signals in both forward and feedback…

Information Theory · Computer Science 2018-01-23 Chong Li , Yingbin Liang , H. Vincent Poor , Shlomo Shamai

We extend previous results on covert communication over the additive white Gaussian noise channel to two other types of additive noise channels. The first is the Gaussian channel with memory, where the noise sequence is a Gaussian vector…

Information Theory · Computer Science 2023-03-22 Cécile Bouette , Laura Luzzi , Ligong Wang

In this paper, we focus on the convex mutual information, which was found at the lowest level split in multilevel coding schemes with communications over the additive white Gaussian noise (AWGN) channel. Theoretical analysis shows that…

Information Theory · Computer Science 2021-05-25 Mingxi Yin , Bingli Jiao , Dongsheng Zheng , Yuli Yang

Four dimensional geometric shell shaping (4D-GSS) is introduced as an approach for closing the nonlinearity-caused shaping gap. This format is designed at the spectral efficiency of 8 b/4D-sym and is compared against…

Signal Processing · Electrical Eng. & Systems 2024-01-08 Sebastiaan Goossens , Yunus Can Gültekin , Olga Vassilieva , Inwoong Kim , Paparao Palacharla , Chigo Okonkwo , Alex Alvarado

In this paper, we perform a threshold analysis of braided convolutional codes (BCCs) on the additive white Gaussian noise (AWGN) channel. The decoding thresholds are estimated by Monte-Carlo density evolution (MC-DE) techniques and compared…

Information Theory · Computer Science 2018-03-01 Muhammad Umar Farooq , Saeedeh Moloudi , Michael Lentmaier

We investigate the sign-linear embeddings of 1-bit compressed sensing given by Gaussian measurements. One can give short arguments concerning a Restricted Isometry Property of such maps using Vapnik-Chervonenkis dimension of sparse…

Classical Analysis and ODEs · Mathematics 2016-04-13 Scott Spencer

Communication over a multiple access channel is considered. Each user modulates his signal as a superposition of redundant data streams where interconnection of data bits can be represented by means of a sparse graph. The receiver observes…

Information Theory · Computer Science 2011-11-28 Dmitri Truhachev

In optical communication systems, short blocklength probabilistic enumerative sphere shaping (ESS) provides both linear shaping gain and nonlinear tolerance. In this work, we investigate the performance and complexity of ESS in comparison…

Information Theory · Computer Science 2020-10-23 Abdelkerim Amari , Lutz Lampe , O. S. Sunish Kumar , Yunus Can Gultekin , Alex Alvarado

This paper studies the transmission of Gaussian sources through additive white Gaussian noise (AWGN) channels in bandwidth expansion regime, i.e., the channel bandwidth is greater than the source bandwidth. To mitigate the error propagation…

Information Theory · Computer Science 2016-03-08 Shancheng Zhao , Xiao Ma