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This work deals with coding systems based on sparse graph codes. The key issue we address is the relationship between iterative (in particular belief propagation) and maximum a posteriori decoding. We show that between the two there is a fundamental connec ...
This thesis addresses the problem of information transmission over noisy channels. In 1993, Berrou, Glavieux and Thitimajshima discovered Turbo-codes. These codes made it possible to achieve a very good performance at low decoding complexity. In hindsight, ...
In this paper, we describe one solution to the two-user Slepian-Wolf problem in a certain part of the achievable region using fountain codes. Symmetric case of memoryless compression of two correlated sources is considered and modeled by a BSC channel. The ...
In this paper we consider the orthogonal cooperative broadcast channel with a common message. The downlink and cooperation channels are modelled by erasure channels and assumed to be orthogonal. We derive an achievable rate for this channel by using a comb ...
The goal of this project is to present the main list-decoding algorithms for Reed-Solomon codes, implement them and study more specifically some of their properties and possible improvements. ...
In this paper we present a rapid review of known results in the context of different scenario of the erasure channel. We will also give a converse capacity bound for relay channel showing that the cut-set bound is not attainable in general by any fixed cod ...
In this paper, we will investigate the performance of Raptor codes on arbitrary binary input memoryless symmetric channels (BIMSCs). In doing so, we generalize some of the results that were proved before for the erasure channel. We will generalize the stab ...
We consider communication over a time invariant discrete memoryless channel with noiseless and instantaneous feedback. We assume that the communicating parties are not aware of the underlying channel, however they know that it belongs to some specific fami ...
In this paper we describe some practical aspects of the design process of good Raptor codes for finite block lengths over arbitrary binary input symmetric channels. In particular we introduce a simple model for the finite-length convergence behavior of the ...
We consider communication over a time-invariant discrete memoryless channel (DMC) with noiseless and instantaneous feedback. We assume that the transmitter and the receiver are not aware of the underlying channel, however, they know that it belongs to some ...
