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A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the classical Shannon-Nyquist sampling theorem, where the…

Probability · Mathematics 2018-10-19 Xianming Liu , Guangyue Han

A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the Shannon-Nyquist sampling theorem, where the original…

Information Theory · Computer Science 2018-10-18 Xianming Liu , Guangyue Han

We consider a continuous-time bandlimited additive white Gaussian noise channel with 1-bit output quantization. On such a channel the information is carried by the temporal distances of the zero-crossings of the transmit signal. The set of…

Information Theory · Computer Science 2017-09-25 Sandra Bender , Meik Dörpinghaus , Gerhard Fettweis

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

A continuous-time model for the additive white Gaussian noise (AWGN) channel in the presence of white (memoryless) phase noise is proposed and discussed. It is shown that for linear modulation the output of the baud-sampled filter matched…

Information Theory · Computer Science 2014-04-29 Luca Barletta , Gerhard Kramer

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…

Information Theory · Computer Science 2024-11-19 Shuqin Pang , Wenyi Zhang

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…

Information Theory · Computer Science 2016-09-22 Lan V. Truong , Silas L. Fong , Vincent Y. F. Tan

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…

Information Theory · Computer Science 2008-05-15 Jaspreet Singh , Onkar Dabeer , Upamanyu Madhow

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

The channel capacity theorem for additive white Gaussian noise channel (AWGN), widely known as the Shannon-Hartley Law, expresses the information capacity of a channel bandlimited in the conventional Fourier domain in terms of the…

Information Theory · Computer Science 2009-01-29 Kamalesh Kumar Sharma

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…

Information Theory · Computer Science 2015-11-30 Andrew Thangaraj , Gerhard Kramer , Georg Bocherer

We consider the classical AWGN channel where the channel input is constrained to an amplitude constraint that stochastically varies at each channel use, independent of the message. This is an abstraction of an energy harvesting transmitter…

Information Theory · Computer Science 2012-01-24 Omur Ozel , Sennur Ulukus

A waveform channel is considered where the transmitted signal is corrupted by Wiener phase noise and additive white Gaussian noise (AWGN). A discrete-time channel model is introduced that is based on a multi-sample receiver. Tight lower…

Information Theory · Computer Science 2013-03-28 Hassan Ghozlan , Gerhard Kramer

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…

Information Theory · Computer Science 2015-09-22 M. Reza Khanzadi , Rajet Krishnan , Johan Söder , Thomas Eriksson

Simultaneous transmission of information and power over a point-to-point flat-fading complex Additive White Gaussian Noise (AWGN) channel is studied. In contrast with the literature that relies on an inaccurate linear model of the energy…

Information Theory · Computer Science 2017-06-01 Morteza Varasteh , Borzoo Rassouli , Bruno Clerckx

With the advent of massive data outputs at a regular rate, admittedly, signal processing technology plays an increasingly key role. Nowadays, signals are not merely restricted to physical sources, they have been extended to digital sources…

Information Theory · Computer Science 2015-07-28 Yi Lu

Consider a pair of terminals connected by two independent (feedforward and feedback) Additive White Gaussian Noise (AWGN) channels, and limited by individual power constraints. The first terminal would like to reliably send information to…

Information Theory · Computer Science 2015-04-16 Assaf Ben-Yishai , Ofer Shayevitz

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…

Information Theory · Computer Science 2026-03-26 Haiyang Wang , Luca Barletta , Alex Dytso

In the literature, it has been shown that the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel with noise-free feedback equals the capacity of the same model without secrecy constraint, and the classical…

Information Theory · Computer Science 2026-01-15 Sheng Su , Yuhan Yang , Chao Qi , Xuan He , Bin Dai , Xiaohu Tang

Recent advances in deep learning for wireless communications have renewed interest in channel output feedback codes. In the additive white Gaussian broadcast channel with feedback (AWGN-BC-F), feedback can expand the channel capacity region…

Signal Processing · Electrical Eng. & Systems 2025-12-02 Jacqueline Malayter , Yingyao Zhou , Natasha Devroye , Chih-Chun Wang , Christopher Brinton , David J. Love
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