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Analysis of Spatially Coupled Systems using the Potential Functional with Applications to Coding Theory

Publications associées (116)

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Belief Propagation Decoding for Codes Based on Discretized Chaotic Maps

Martin Hasler, Slobodan Kozic

In this paper a class of discretized piecewise linear chaotic maps of a very high dimensions are used for communication over a noisy channel. An information payload that is sent over a channel is controlled in the transmitter and is related to the symbolic ...

2006

List-Decoding Algorithms

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. ...

2006

Wireless Image Transmission Using Turbo Codes and Optimal Unequal Error Protection

Nikolaos Thomos

A novel image transmission scheme is proposed for the communication of SPIHT image streams over wireless channels. The proposed scheme employs turbo codes and Reed-Solomon codes in order to deal effectively with burst errors. An algorithm for the optimal u ...

Institute of Electrical and Electronics Engineers2005

Unequal Error Protection of Atomic Image Streams

Pascal Frossard, Pierre Vandergheynst

This paper presents an unequal error protection scheme for atomic image bitstreams. An atomic stream is the encoded version of a digital image, which is represented as a sum of bi-dimensional functions, as typically generated by Matching Pursuit encoders. ...

2005

LDPC codes for fading Gaussian broadcast channels

Peter Allan Berlin, Daniela Tuninetti

In this work, we study coding over a class of two-user broadcast channels (BCs) with additive white Gaussian noise and multiplicative fading known at the receivers only. Joint decoding of low-density parity-check (LDPC) codes is analyzed. The message updat ...

2005

Improved Decoding of Interleaved AG-Codes

Mohammad Amin Shokrollahi, Lorenz Minder, Andrew Brown

We analyze a generalization of a recent algorithm of Bleichenbacher et al.~for decoding interleaved codes on the

Q

-ary symmetric channel for large

Q

. We will show that for any

m

and any

\epsilon

the new algorithms can decode up to a fraction of at ...

2005

Concatenated codes for block-fading channels

Albert Guillén i Fàbregas

In this thesis we study coding strategies for single-user block-fading channels. The block-fading channel is a simplified model of slowly varying wireless communication channels with stringent delay constraints. This model is particularly important in prac ...

EPFL2004

Asymptotic and finite-length analysis of low-density parity-check codes

Changyan Di

This thesis addresses the topic of Low-Density Parity-Check (LDPC) code analysis, both asymptotically and for finite block lengths. Since in general it is a difficult problem to analyze individual code instances, ensemble averages are studied by following ...

EPFL2004

Low-density parity-check codes with rates very close to the capacity of the q-ary symmetric channel for large q

Mohammad Amin Shokrollahi

Transmission of packets over computer networks is subject to packet-level errors, which appear as "bursts" of bit-level errors and are not well modeled by memoryless binary channels. A standard scrambling technique is used for transmission of packets by th ...

2004

On the joint source and channel coding of atomic image streams

Pascal Frossard

This paper presents an error resilient coding scheme for atomic image bitstreams, as generated by Matching Pursuit encoders. A joint source and channel coding algorithm is proposed, that takes benefit of both the flexibility in the image representation, an ...

IEEE2004

Improved Decoding of Interleaved AG-Codes

Mohammad Amin Shokrollahi, Lorenz Minder, Andrew Brown

We analyze a generalization of a recent algorithm of Bleichenbacher et al.~for decoding interleaved codes on the

Q

-ary symmetric channel for large

Q

. We will show that for any

m

and any

\epsilon

the new algorithms can decode up to a fraction of at ...

2005