What : Master research internship on the simulation in finite block length regime for the Gaussian broadcast channel.
Topic: The intership aims at simulating the achievability bounds and converse of the Gaussian broadcast channel (GBC) with the use of the finite block length toolbox Spectre.
When : From February to July 2017
Where : INSA de Rennes / IETR UMR 6164
IETR : Institut d’Electronique et de Télécommunication de Rennes
Start date : 1st February – duration : 6 months
With the recent development of machine-to-machine (M2M) communications and internet-of-things (IoT) networks, the infrastructures have to support more users (or nodes) but each of them requesting a very small quantity of information. The performance of networks has been widely studied during the past decades with usual theoretical tools such as Shannon theory. This tool provided interesting insights about scaling laws and theoretical limits but with a limited applicability in the context of M2M, IoT and future 5G. Indeed, the small packet size invalidates the use of the asymptotic Shannon capacity as a performance indicator [1,2]. As a consequence fundamental limits are neither well known nor even well formulated. The internship aims at simulating the achievability bounds and converse of the Gaussian broadcast channel (GBC).
Starting with the achievable region of the Gaussian multiple access channel in finite block length , the candidate will first recover the results of  and explore the functionalities of Spectre toolbox project  in the bounds computation and their applicability in multi-user case. Then, the computation of the fundamental bounds of GBC in finite length regime will be assessed.
 Y. Polyanskiy, H. V. Poor and S. Verdu, “Channel coding rate in the finite blocklength regime”, IEEE Transactions on Information Theory, vol. 56, no. 5, pp. 2307-2359, May 2010.
 P. Mary, J.-M. Gorce, A. Unsal, H.V. Poor, “Finite Block Length Information Theory: What is the Practical Impact on Wireless Communications”, IEEE Globecom Workshops, IoT-Link, Washington D.C., USA, 2016
 E. MolavianJazi and J. N. Laneman, “A finite blocklength perspective on Gaussian multi-access channels”, CoRR, abs/1309.2343, 2013.
 Short packet communication toobox: Spectre, https://sites.google.com/site/durisi/software/spectre
The candidate should apply for an MSc degree, or equivalent, in one of the following field: information theory, signal processing, electrical engineering, applied mathematics. He should have a strong background in probabilities and information theory as well as in signal processing for wireless communications. The candidate should be familiar with Matlab and C/C++ languages.
Asymptotic and non-asymptotic information theory, second-order rate, probabilities, mutual information, measure theory.
How to apply:
Prof. Jean-Marie Gorce, INSA Lyon / CITI Lab
(c) GdR 720 ISIS - CNRS - 2011-2015.