==== Polar codes for the AWGN channel ====

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**Description**\\ 
The polarization technique, recently introduced in [1], allows to construct capacity achieving codes on discrete input channels.
An important channel in communication is the additive white Gaussian noise (AWGN) channel.
However, the AWGN channel allows the use of a continuous alphabet.
It is not clear how to best use the continuous VS discrete alphabet setting.
We have proposed different theoretical constructions for the AWGN channel polarization.
The goal of this project is to understand (pursue the analysis of) these constructions and implement them.

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**Perequisit**\\  
Probability, analysis and programming. Notions of simulation may be useful. The amount of theory VS programming work may be discussed.

[1] E. Erikan, Channel polarization: A method for constructing capacity-achieving codes for
symmetric binary-input memoryless channels CoRR abs/0807.3917: (2008)

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

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**Professors**\\ 
Prof. Bixio Rimoldi, LCM and Prof. E. Telatar, LTHI
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