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We study the amplitude-constrained additive white Gaussian noise channel. It is well known that the capacity-achieving input distribution for this channel is discrete and supported on finitely many points. The best known bounds show that…

信息论 · 计算机科学 2026-03-26 Haiyang Wang , Luca Barletta , Alex Dytso

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…

信息论 · 计算机科学 2025-12-04 Haiyang Wang

The capacity-achieving input distribution of the discrete-time, additive white Gaussian noise (AWGN) channel with an amplitude constraint is discrete and seems difficult to characterize explicitly. A dual capacity expression is used to…

信息论 · 计算机科学 2015-11-30 Andrew Thangaraj , Gerhard Kramer , Georg Bocherer

In this paper, we consider single- and multi-user Gaussian channels with feedback under expected power constraints and with non-vanishing error probabilities. In the first of two contributions, we study asymptotic expansions for the…

信息论 · 计算机科学 2016-09-22 Lan V. Truong , Silas L. Fong , Vincent Y. F. Tan

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…

信息论 · 计算机科学 2020-04-27 Morteza Varasteh , Borzoo Rassouli , Bruno Clerckx

We investigate the limits of communication over the discrete-time Additive White Gaussian Noise (AWGN) channel, when the channel output is quantized using a small number of bits. We first provide a proof of our recent conjecture on the…

信息论 · 计算机科学 2008-05-15 Jaspreet Singh , Onkar Dabeer , Upamanyu Madhow

In this paper, the capacity of the additive white Gaussian noise (AWGN) channel, affected by time-varying Wiener phase noise is investigated. Tight upper and lower bounds on the capacity of this channel are developed. The upper bound is…

信息论 · 计算机科学 2015-09-22 M. Reza Khanzadi , Rajet Krishnan , Johan Söder , Thomas Eriksson

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…

信息论 · 计算机科学 2017-02-27 Richard J. Barton

Information transmission over discrete-time channels with memoryless additive noise obeying a Cauchy, rather than Gaussian, distribution, are studied. The channel input satisfies an average power constraint. Upper and lower bounds to such…

信息论 · 计算机科学 2024-11-19 Shuqin Pang , Wenyi Zhang

This paper investigates the asymptotic expansion for the size of block codes defined for the additive white Gaussian noise (AWGN) channel with feedback under the following setting: A peak power constraint is imposed on every transmitted…

信息论 · 计算机科学 2014-10-14 Silas L. Fong , Vincent Y. F. Tan

This work considers a discrete-time Poisson noise channel with an input amplitude constraint $\mathsf{A}$ and a dark current parameter $\lambda$. It is known that the capacity-achieving distribution for this channel is discrete with…

信息论 · 计算机科学 2024-01-11 Luca Barletta , Alex Dytso , Shlomo Shamai

We study the binomial channel and the structure of its capacity-achieving input and output distributions. It is known that the capacity-achieving input distribution is discrete and supported on finitely many points. The best previously…

信息论 · 计算机科学 2026-05-13 Mohammadamin Baniasadi , Luca Barletta , Alex Dytso

This paper considers the problem of communication over a discrete memoryless channel (DMC) or an additive white Gaussian noise (AWGN) channel subject to the constraint that the probability that an adversary who observes the channel outputs…

信息论 · 计算机科学 2016-11-17 Ligong Wang , Gregory Wornell , Lizhong Zheng

In some applications, the variance of additive measurement noise depends on the signal that we aim to measure. For instance, additive Gaussian signal-dependent noise (AGSDN) channel models are used in molecular and optical communication.…

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;…

信息论 · 计算机科学 2024-12-10 Michael Peleg , Shlomo Shamai

The problem of transmitting a parameter value over an additive white Gaussian noise (AWGN) channel is considered, where, in addition to the transmitter and the receiver, there is a helper that observes the noise non-causally and provides a…

信息论 · 计算机科学 2024-10-28 Anatoly Khina , Neri Merhav

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…

量子物理 · 物理学 2013-02-05 Robert Koenig , Graeme Smith

This work studies the secrecy-capacity of a scalar-Gaussian wiretap channel with an amplitude constraint on the input. It is known that for this channel, the secrecy-capacity-achieving distribution is discrete with finitely many points.…

信息论 · 计算机科学 2021-09-06 Luca Barletta , Alex Dytso

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…

信息论 · 计算机科学 2018-10-16 Sara Shahi , Daniela Tuninetti , Natasha Devroye

This paper provides an upper-bound for the capacity of the underwater acoustic (UWA) channel with dominant noise sources and generalized fading environments. Previous works have shown that UWA channel noise statistics are not necessary…

信息论 · 计算机科学 2014-04-29 Mustafa A. Kishk , Ahmed M. Alaa
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