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The Capacity Gains of Gaussian Channels with Unstable Versus Stable Autoregressive Noise. [PDF]

Entropy (Basel)
Charalambous CD, Kourtellaris C, Louka S, Loyka S.   +3 more
europepmc   +1 more source

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Non-Gaussian distributions

Applied Mathematics and Computation, 1999
The paper studies (non-Gaussian) diffusions classified as either ``hypo-diffusion'' or ``hyper-diffusion'', where the \(\beta\) order moments are of the type \(t^{\beta/\alpha}\), with \(\beta\) and \(\alpha\) belonging to \(\mathbb{R}^*_+\). The authors introduce signed measures corresponding to non-Gaussian diffusions on \(\mathbb{R}\), inspired by ...
Mastrangelo, Michèle, Mastrangelo, Victor, Teuler, Jean-Marie   +2 more
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Laguerre-Gaussian supercontinuum

SPIE Proceedings, 2006
We show what is believed to be the first coherent white-light optical vortices generated from supercontinuum that have the azimuthally varying phase structure consistent with a monochromatic Laguerre-Gaussian beam. Two methods of Laguerre-Gaussian supercontinuum generation are discussed and contrasted.
H I, Sztul, V, Kartazayev, R R, Alfano
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Gaussian Optics and Gaussian Brackets*†

Journal of the Optical Society of America, 1943
Not ...
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From almost Gaussian to Gaussian

AIP Conference Proceedings, 2015
We consider lower and upper bounds on the difference of differential entropies of a Gaussian random vector and an approximately Gaussian random vector after they are “smoothed” by an arbitrarily distributed random vector of finite power. These bounds are important to establish the optimality of the corner points in the capacity region of Gaussian ...
Max H. M. Costa, Olivier Rioul
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Model-Based Gaussian and Non-Gaussian Clustering

Biometrics, 1993
Summary: The classification maximum likelihood approach is sufficiently general to encompass many current clustering algorithms, including those based on the sum of squares criterion and on the criterion of \textit{H. P. Friedman} and \textit{J. Rubin} [J. Am. Stat. Assoc. 62, 1159-1178 (1967)].
Banfield, Jeffrey D., Raftery, Adrian E.
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Gaussian and non-Gaussian statistics

Proceedings of International Symposium on Electromagnetic Compatibility ELMAGC-97, 1997
The article presents a description of Gaussian statistical theory in relation to signal analysis. Special attention is placed on the correlation phenomena and the spectra. The main part of the paper deals with the higher-order statistics. The notions of the 3rd-moment and the cumulant function are introduced and their relation to the spectra and the ...
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On the Gaussian sum of Gaussian variates, the non-Gaussian sum of Gaussian variates, and the Gaussian sum of non-Gaussian variates

Proceedings of the IEEE, 1967
The random variable generated by adding two Gaussian variables may or may not have a Gaussian distribution. Also, the random variable generated by adding two non-Gaussian variables may or may not have a non-Gaussian distribution. Of several examples given, one illustrates how the sum may be Gaussian while the individual variables are not.
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Gaussian Variables and Gaussian Processes

2016
Gaussian random processes play an important role both in theoretical probability and in various applied models. We start by recalling basic facts about Gaussian random variables and Gaussian vectors. We then discuss Gaussian spaces and Gaussian processes, and we establish the fundamental properties concerning independence and conditioning in the ...
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Gaussian Process Regression for Materials and Molecules

Chemical Reviews, 2021
Volker L Deringer, Albert P Bartók, Noam Bernstein   +2 more
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