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Raptor codes on symmetric channels

Publications associées (37)

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Fountain Codes for the Slepian-Wolf Problem

Mohammad Amin Shokrollahi, Bertrand Ndzana Ndzana

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 ...

2006

Raptor Codes

Mohammad Amin Shokrollahi

LT-codes are a new class of codes introduced by Luby for the purpose of scalable and fault-tolerant distribution of data over computer networks. In this paper, we introduce Raptor codes, an extension of LT-codes with linear time encoding and decoding. We w ...

2006

Capacity-approaching codes on the q-ary symmetric channel for large q

Mohammad Amin Shokrollahi

We give a short survey of several techniques to construct codes on GF(q) that approach the capacity of the q-ary symmetric channel. The q-ary symmetric channel represents the next level of difficulty after the binary erasure channel (BEC). Since the channe ...

2004

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

Raptor codes

Mohammad Amin Shokrollahi

This paper exhibits a class of universal Raptor codes: for a given integer k, and any real /spl epsiv/>0, Raptor codes in this class produce a potentially infinite stream of symbols such that any subset of symbols of size k(1 + /spl epsiv/) is sufficient t ...

2004

Finite-length analysis of various low-density parity-check ensembles for the binary erasure channel

Rüdiger Urbanke, Mohammad Amin Shokrollahi

We investigate the average erasure probability of the belief propagation algorithm over the binary erasure channel (BEC) for various finite-length low- density parity-check (LDPC) ensembles. In particular, we give tight upper bounds on the "error floor", i ...

2002

Separable Term Structures and the Maximal Degree Problem

Damir Filipovic

This paper discusses separable term structure diffusion models in an arbitrage-free environment. Using general consistency results we exploit the interplay between the diffusion coefficients and the functions determining the forward curve. We introduce the ...

Wiley-Blackwell2002