==== What about non-Gaussian? ====

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**Description**\\ 
In many engineering problems, Gaussian noise is assumed.
Sometimes for good reasons, sometimes for convenience.
In information theory, another important property of Gaussian distributions,
is that they maximize the entropy under a variance constraint.
However, in many multi-user problems, this property
is not sufficient to figure out the capacity achieving inputs.
Indeed it could be helpful to use non-Gaussian input distributions.
But non-Gaussian input distributions are hard to analyze over Gaussian noise channels.
In [1], a technique using Hermite polynomials has been proposed for that purpose.
The Goal of the project is to study this technique and its application
to some problem.

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**Perequisit**\\  
Information theory, probability, analysis.
The project can be approached from a more theoretic or applied persepctive.

[1] E. Abbe, L. Zheng, "Coding Along Hermite Polynomials for Gaussian Noise Channels", ISIT 2009, Seoul. (Email if interested in the paper.)


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**Supervisor**\\
Dr. Emmanuel Abbe, LCM, Office INR 130, tel 35657, emmanuel.abbe@epfl.ch

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**Professor**\\ 
Prof. Bixio Rimoldi, LCM
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