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Recursive Projection-Aggregation Decoding of Reed-Muller Codes

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Source and channel coding using Fountain codes

Bertrand Ndzana Ndzana

The invention of Fountain codes is a major advance in the field of error correcting codes. The goal of this work is to study and develop algorithms for source and channel coding using a family of Fountain codes known as Raptor codes. From an asymptotic poi ...

EPFL2009

Finite-Length Scaling of Turbo-Like Code Ensembles on the Binary Erasure Channel

A possibility of estimating the finite-length performance of sparse-graph code ensembles gives two opportunities: to compare different codes of the same length in a context very close to real, practical applications and to perform the parameter optimizatio ...

2009

Polar codes: Characterization of exponent, bounds, and constructions

Rüdiger Urbanke, Satish Babu Korada, Eren Sasoglu

Polar codes were recently introduced by Arikan. They achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancellation decoding strategy. The original polar code construction is closely rel ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Polar Codes are Optimal for Lossy Source Coding

Rüdiger Urbanke, Satish Babu Korada

We consider lossy source compression of a binary symmetric source with Hamming distortion function. We show that polar codes combined with a low-complexity successive cancellation encoding algorithm achieve the rate-distortion bound. The complexity of both ...

2009

Low-Density Codes Based on Chaotic Systems for Low-Density Codes Based on Chaotic Systems for Simple Encoding

Martin Hasler, Slobodan Kozic

This paper proposes a new class of low-density generator-matrix codes (LDGM) based on chaotic dynamical systems. The codes are designed by controlling symbolic dynamics and using linear convolutional codes. Analyzing the complex structure of chaotic system ...

2009

Performance of Polar Codes for Channel and Source Coding

Rüdiger Urbanke, Satish Babu Korada, Nadine Hussami

Polar codes, introduced recently by Arikan, are the first family of codes known to achieve capacity of symmetric channels using a low complexity successive cancellation decoder. Although these codes, combined with successive cancellation, are optimal in th ...

2009

A Simple Converse of Burnashev's Reliability Function

Bixio Rimoldi, Emre Telatar, Peter Allan Berlin

In a remarkable paper published in 1976, Burna- shev determined the reliability function of variable-length block codes over discrete memoryless channels (DMCs) with feedback. Subsequently, an alternative achievability proof was obtained by Yamamoto and It ...

2009

Differential Distributed Cayley Space-Time Codes

Frédérique Oggier

We consider a wireless relay network with no channel information, which implements differential distributed space-time coding. We propose a coding strategy based on Cayley codes, which yields high data rate codes available for an arbitrary number of relay ...

2009

Compiling generics through user-directed type specialization

Martin Odersky, Iulian Dragos

Compilation of polymorphic code through type erasure gives compact code but performance on primitive types is significantly hurt. Full specialization gives good performance, but at the cost of increased code size and compilation time. Instead we propose a ...

ACM2009

The compound capacity of polar codes

Rüdiger Urbanke, Seyed Hamed Hassani, Satish Babu Korada

We consider the compound capacity of polar codes under successive cancellation decoding for a collection of binary-input memoryless output-symmetric channels. By deriving a sequence of upper and lower bounds, we show that in general the compound capacity u ...

IEEE2009