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Recent results have shown that lattice codes can be used to construct good channel codes, source codes and physical layer network codes for Gaussian channels. On the other hand, for Gaussian channels with secrecy constraints, efforts to…

Information Theory · Computer Science 2009-05-19 Xiang He , Aylin Yener

This paper considers a degraded Gaussian broadcast channel over which Gaussian sources are to be communicated. When the sources are independent, this paper shows that hybrid coding achieves the optimal distortion region, the same as that of…

Information Theory · Computer Science 2009-06-16 Rajiv Soundararajan , Sriram Vishwanath

We study the second-order asymptotics of information transmission using random Gaussian codebooks and nearest neighbor (NN) decoding over a power-limited stationary memoryless additive non-Gaussian noise channel. We show that the dispersion…

Information Theory · Computer Science 2016-10-20 Jonathan Scarlett , Vincent Y. F. Tan , Giuseppe Durisi

The capacity of multiple-input multiple-output additive white Gaussian noise channels is investigated under peak amplitude constraints on the norm of the input vector. New insights on the capacity-achieving input distribution are presented.…

Information Theory · Computer Science 2021-05-06 Antonino Favano , Marco Ferrari , Maurizio Magarini , Luca Barletta

A coding scheme is proposed for the memoryless Gaussian broadcast channel with correlated noises and feedback. For all noise correlations other than -1, the gap between the sum-rate the scheme achieves and the full-cooperation bound…

Information Theory · Computer Science 2015-03-13 Michael Gastpar , Amos Lapidoth , Yossef Steinberg , Michele Wigger

We study the problem of communicating a distributed correlated memoryless source over a memoryless network, from source nodes to destination nodes, under quadratic distortion constraints. We establish the following two complementary…

Information Theory · Computer Science 2013-04-09 Himanshu Asnani , Ilan Shomorony , A. Salman Avestimehr , Tsachy Weissman

A low-complexity model for signal quality prediction in a nonlinear fiber-optical network is developed. The model, which builds on the Gaussian noise model, takes into account the signal degradation caused by a combination of chromatic…

Optics · Physics 2015-01-07 Pontus Johannisson , Erik Agrell

Signal processing in non-Gaussian noise environment is addressed in this paper. For many real-life situations, the additive noise process present in the system is found to be dominantly non-Gaussian. The problem of detection and estimation…

Statistics Theory · Mathematics 2014-01-23 Jugalkishore K. Banoth , Pradip Sircar

We propose a new covert communication scheme that operates without pre-sharing side information and channel estimation, utilizing a Gaussian-distributed Grassmann constellation for noncoherent detection. By designing constant-amplitude…

Signal Processing · Electrical Eng. & Systems 2025-02-20 Hiroki Fukada , Hiroki Iimori , Chandan Pradhan , Szabolcs Malomsoky , Naoki Ishikawa

Interference alignment has emerged as a powerful tool in the analysis of multi-user networks. Despite considerable recent progress, the capacity region of the Gaussian K-user interference channel is still unknown in general, in part due to…

Information Theory · Computer Science 2016-11-15 Or Ordentlich , Uri Erez , Bobak Nazer

The capacity of the Gaussian cognitive interference channel, a variation of the classical two-user interference channel where one of the transmitters (referred to as cognitive) has knowledge of both messages, is known in several parameter…

Information Theory · Computer Science 2016-11-17 Stefano Rini , Daniela Tuninetti , Natasha Devroye

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also feedback channel with independent additive Gaussian noise, and the transmitter observes without delay all outputs of the…

Information Theory · Computer Science 2012-08-15 M. V. Burnashev , H. Yamamoto

This paper considers distributed estimation of linear systems when the state observations are corrupted with Gaussian noise of unbounded support and under possible random adversarial attacks. We consider sensors equipped with single…

Systems and Control · Electrical Eng. & Systems 2021-05-25 Mohammadreza Doostmohammadian , Themistoklis Charalambous , Miadreza Shafie-khah , Nader Meskin , Usman A. Khan

In gravitational wave astronomy, non-Gaussian noise, such as scattered light noise disturbs stable interferometer operation, limiting the interferometer's sensitivity, and reducing the reliability of the analyses. In scattered light noise,…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Shunsei Yamamura , Hirotaka Yuzurihara , Takahiro Yamamoto , Takashi Uchiyama

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

Information Theory · Computer Science 2021-11-17 Nir Weinberger

We have previously reported a Bayesian algorithm for determining the coordinates of points in three-dimensional space from uncertain constraints. This method is useful in the determination of biological molecular structure. It is limited,…

Artificial Intelligence · Computer Science 2013-02-28 Russ B. Altman , Cheng C. Chen , William B. Poland , Jaswinder Pal Singh

Multilayer (or deep) networks are powerful probabilistic models based on multiple stages of a linear transform followed by a non-linear (possibly random) function. In general, the linear transforms are defined by matrices and the non-linear…

Information Theory · Computer Science 2017-10-13 Galen Reeves

We provide new single-integral formulas of the power spectral density of single-channel and cross-channel nonlinear interference in highly-dispersed coherent optical links for which the Gaussian Noise model [1], [2] applies.

Optics · Physics 2013-09-03 Alberto Bononi , Ottma Beucher

A classical result in Information Theory states that the Gaussian noise is the worst-case additive noise in point-to-point channels, meaning that, for a fixed noise variance, the Gaussian noise minimizes the capacity of an additive noise…

Information Theory · Computer Science 2013-01-30 Ilan Shomorony , A. Salman Avestimehr

We study the evolution of higher-order nonclassicality and entanglement criteria in atmospheric fluctuating-loss channels. By formulating input-output relations for the matrix of moments, we investigate the influence of such channels on the…

Quantum Physics · Physics 2017-01-25 M. Bohmann , J. Sperling , A. A. Semenov , W. Vogel