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This paper investigates the asymptotics of the maximal throughput of communication over AWGN channels by $n$ channel uses under a covert constraint in terms of an upper bound $\delta$ of Kullback-Leibler divergence (KL divergence). It is…

Information Theory · Computer Science 2026-04-08 Xinchun Yu , Shuangqing Wei , Shao-Lun Huang , Xiao-Ping Zhang

In this paper, we investigate the problem of transmitting an analog source to a destination over $N$ uses of an additive-white-Gaussian-noise (AWGN) channel, where $N$ is very small (in the order of 10 or even less). The proposed coding…

Information Theory · Computer Science 2024-02-01 Mohammad Ali Maddah-Ali , Soheil Mohajer

The capacity of a complex and discrete-time memoryless additive white Gaussian noise (AWGN) channel under three constraints, namely, input average power, input amplitude and output delivered power is studied. The output delivered power…

Information Theory · Computer Science 2020-04-27 Morteza Varasteh , Borzoo Rassouli , Bruno Clerckx

In this paper, we propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction…

Information Theory · Computer Science 2016-11-18 Wael Alghamdi , Walid Abediseid , Mohamed-Slim Alouini

This paper investigates the capacity of a communications channel that, in addition to additive white Gaussian noise, also suffers from interference caused by a co-existing radar transmission. The radar interference (of short duty-cycle and…

Information Theory · Computer Science 2018-10-16 Sara Shahi , Daniela Tuninetti , Natasha Devroye

This paper studies the achievable rates of Gaussian interference channels with additive white Gaussian noise (AWGN), when improper or circularly asymmetric complex Gaussian signaling is applied. For the Gaussian multiple-input…

Information Theory · Computer Science 2016-11-18 Yong Zeng , Cenk M. Yetis , Erry Gunawan , Yong Liang Guan , Rui Zhang

In this paper, we establish the second-order randomized identification capacity (RID capacity) of the Additive White Gaussian Noise Channel (AWGNC). On the one hand, we obtain a refined version of Hayashi's theorem to prove the…

Information Theory · Computer Science 2024-06-28 Zhicheng Liu , Yuan Li , Huazi Zhang , Jun Wang , Guiying Yan , Zhiming Ma

We study the growth of the support size of the capacity-achieving input distribution for the amplitude-constrained additive white Gaussian noise (AWGN) channel. While it is known since Smith (1971) that the optimal input is discrete with…

Information Theory · Computer Science 2025-12-04 Haiyang Wang

The mutual information between a complex-valued channel input and its complex-valued output is decomposed into four parts based on polar coordinates: an amplitude term, a phase term, and two mixed terms. Numerical results for the additive…

Information Theory · Computer Science 2015-03-13 Bernhard Goebel , René-Jean Essiambre , Gerhard Kramer , Peter J. Winzer , Norbert Hanik

We consider an additive Gaussian channel with additive Gaussian noise feedback. We derive an upper bound on the n-block capacity (defined by Cover [1]). It is shown that this upper bound can be obtained by solving a convex optimization…

Information Theory · Computer Science 2015-03-19 Chong Li , Nicola Elia

A new converse bound is presented for the two-user multiple-access channel under the average probability of error constraint. This bound shows that for most channels of interest, the second-order coding rate -- that is, the difference…

Information Theory · Computer Science 2021-10-04 Oliver Kosut

We study communication systems over band-limited Additive White Gaussian Noise (AWGN) channels in which the transmitter output is constrained to be symmetric binary (bi-polar). In this work we improve the original Ozarov-Wyner-Ziv (OWZ)…

Information Theory · Computer Science 2021-10-07 Michael Peleg , Tomer Michaeli , Shlomo Shamai

We consider a block fading additive white Gaussian noise (AWGN) channel with perfect channel state information (CSI) at the transmitter and the receiver. First, for a given codeword length and non-vanishing average probability of error, we…

Information Theory · Computer Science 2019-04-10 Deekshith P K , K Gautam Shenoy , Vinod Sharma

We present a square root limit on the amount of information transmitted reliably and with low probability of detection (LPD) over additive white Gaussian noise (AWGN) channels. Specifically, if the transmitter has AWGN channels to an…

Information Theory · Computer Science 2013-10-18 Boulat A. Bash , Dennis Goeckel , Don Towsley

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

Tight bounds on the minimum mean square error for the additive Gaussian noise channel are derived, when the input distribution is constrained to be epsilon-close to a Gaussian reference distribution in terms of the Kullback--Leibler…

Statistics Theory · Mathematics 2018-04-27 Michael Fauss , Alex Dytso , Abdelhak M. Zoubir , H. Vincent Poor

Almost all modern communication systems rely on electromagnetic fields as a means of information transmission, and finding the capacities of these systems is a problem of significant practical importance. The Additive White Gaussian Noise…

Quantum Physics · Physics 2013-02-05 Robert Koenig , Graeme Smith

We investigate the Peak-Power Limited (PPL) Additive White Gaussian Noise (AWGN) channels in which the signal is band-limited, and its instantaneous power cannot exceed the power P. This model is relevant to many communication systems;…

Information Theory · Computer Science 2024-12-10 Michael Peleg , Shlomo Shamai

In this paper, we derive upper and lower bounds as well as a simple closed-form approximation for the capacity of the continuous-time, bandlimited, additive white Gaussian noise channel in a three-dimensional free-space electromagnetic…

Information Theory · Computer Science 2017-02-27 Richard J. Barton

We study memoryless, discrete time, matrix channels with additive white Gaussian noise and input power constraints of the form $Y_i = \sum_j H_{ij} X_j + Z_i$, where $Y_i$ ,$X_j$ and $Z_i$ are complex, $i=1..m$, $j=1..n$, and $H$ is a…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Anirvan Mayukh Sengupta , Partha Pratim Mitra