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Flat-fading channels that are correlated in time are considered under peak and average power constraints. For discrete-time channels, a new upper bound on the capacity per unit time is derived. A low SNR analysis of a full-scattering vector…

Information Theory · Computer Science 2007-07-13 Vignesh Sethuraman , Bruce Hajek

We optimize modulation formats for the additive white Gaussian noise channel with nonnegative input, also known as the intensity-modulated direct-detection channel, with and without confining them to a lattice structure. Our optimization…

Information Theory · Computer Science 2015-01-07 Johnny Karout , Erik Agrell , Krzysztof Szczerba , Magnus Karlsson

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…

Information Theory · Computer Science 2014-10-14 Silas L. Fong , Vincent Y. F. Tan

In this paper, we relate the feedback capacity of parallel additive colored Gaussian noise (ACGN) channels to a variant of the Kalman filter. By doing so, we obtain lower bounds on the feedback capacity of such channels, as well as the…

Information Theory · Computer Science 2021-02-17 Song Fang , Quanyan Zhu

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

In this paper, the fundamental limits on the rates at which information and energy can be simultaneously transmitted over an additive white Gaussian noise channel are studied under the following assumptions: $(a)$ the channel is memoryless;…

Information Theory · Computer Science 2021-10-06 Sadaf ul Zuhra , Samir M. Perlaza , Eitan Altman

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…

Information Theory · Computer Science 2024-10-28 Anatoly Khina , Neri Merhav

We consider communication over the block noncoherent AWGN channel with low-precision Analog-to-Digital Converters (ADCs) at the receiver. For standard uniform Phase Shift Keying (PSK) modulation, we investigate the performance of a receiver…

Information Theory · Computer Science 2009-05-28 Jaspreet Singh , Upamanyu Madhow

We study the amplitude-constrained additive white Gaussian noise (AWGN) channel from the perspective of near-optimal input distributions. While it is known that the capacity-achieving input is discrete with finitely many mass points, the…

Information Theory · Computer Science 2026-04-17 Luca Barletta , Alex Dytso

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

The capacity of the AWGN broadcast channel is achieved by superposition coding, but superposition of individual coded modulations expands the modulation alphabet and distorts its configuration. Coded modulation over a broadcast channel…

Information Theory · Computer Science 2016-10-31 Ahmed Abotabl , Aria Nosratinia

Under which condition is quantization optimal? We address this question in the context of the additive uniform noise channel under peak amplitude and cost constraints. We compute analytically the capacity-achieving input distribution as a…

Information Theory · Computer Science 2025-10-15 Jonas Stapmanns , Catarina Dias , Luke Eilers , Tobias Kühn , Jean-Pascal Pfister

Lattice coding and decoding have been shown to achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was accomplished using a minimum mean-square error scaling and randomization to transform the AWGN channel into a…

Information Theory · Computer Science 2013-08-08 Charles H. Swannack , Uri Erez , Gregory W. Wornell

We consider the problem of jointly optimum modulation and estimation of a real-valued random parameter, conveyed over an additive white Gaussian noise (AWGN) channel, where the performance metric is the large deviations behavior of the…

Information Theory · Computer Science 2016-11-17 Neri Merhav

We revisit Shannon's problem of bounding the capacity of bandlimited Gaussian channel (BLGC) with peak power constraint, and extend the problem to the peak-to-average-power-ratio (PAPR) constrained case. By lower bounding the achievable…

Information Theory · Computer Science 2018-08-31 Yizhu Wang , Jing Zhou , Wenyi Zhang

The additivity problem asks if the use of entanglement can boost the information-carrying capacity of a given channel beyond what is achievable by coding with simple product states only. This has recently been shown not to be the case for…

Quantum Physics · Physics 2018-04-10 Stefan Huber , Robert Koenig

Quantum communication is an important branch of quantum information science, promising unconditional security to classical communication and providing the building block of a future large-scale quantum network. Noise in realistic quantum…

Quantum Physics · Physics 2020-01-24 Kyungjoo Noh , Stefano Pirandola , Liang Jiang

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

We derive upper and lower bounds for the covert capacity of Additive White Gaussian Noise channels when measuring reliability in terms of the average error probability and covertness in terms of Kullback-Leibler divergence. This…

Information Theory · Computer Science 2025-06-18 C. Bouette , L. Luzzi , M. Bloch

We determine the loss in capacity incurred by using signal constellations with a bounded support over general complex-valued additive-noise channels for suitably high signal-to-noise ratio. Our expression for the capacity loss recovers the…

Information Theory · Computer Science 2016-11-17 Tobias Koch , Alfonso Martinez , Albert Guillén i Fàbregas