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From Polar to Reed-Muller Codes: a Technique to Improve the Finite-Length Performance

Publications associées (55)

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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

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

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

Concentration of Magnetization for Linear Block Codes

Nicolas Macris, Satish Babu Korada, Shrinivas Kudekar

We consider communication over the binary erasure and the binary additive white gaussian noise channels using fixed linear block codes and also appropriate ensembles of such codes. We show concentration of the magnetization over the channel realizations an ...

2008

On communication over discrete memoryless channels with noiseless feedback

Peter Allan Berlin

The addition of a feedback link to a discrete memoryless channel does not increase its capacity, but it does bring with it other benefits. One of these benefits is an increase to the best achievable error exponent. In the first part of this thesis we revis ...

EPFL2008

On capacity of line networks

Christina Fragouli, Daniela Tuninetti, Urs Niesen

We consider communication through a cascade of discrete memoryless channels (DMCs). The source and destination node of this cascade are allowed to use coding schemes of arbi- trary complexity, but the intermediate relay nodes are restricted to process only ...

Institute of Electrical and Electronics Engineers2007

Channel coding and modulation based on chaotic systems

Slobodan Kozic

In this thesis, a new class of codes on graphs based on chaotic dynamical systems are proposed. In particular, trellis coded modulation and iteratively decodable codes on graphs are studied. The codes are designed by controlling symbolic dynamics of chaoti ...

EPFL2006

Computational Hardness and Explicit Constructions of Error Correcting Codes

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

We outline a procedure for using pseudorandom generators to construct binary codes with good properties, assuming the existence of sufficiently hard functions. Specifically, we give a polynomial time algorithm, which for every integers

n

and

k

, constru ...

2006

Weight Distribution of Low-Density Parity-Check Codes

Rüdiger Urbanke, Changyan Di

We derive the average weight distribution function and its asymptotic growth rate for low-density parity-check (LDPC) code ensembles. We show that the growth rate of the minimum distance of LDPC codes depends only on the degree distribution pair. It turns ...

2006

Joint source-channel coding with feedback

Communications is about conveying information from one point to another subject to certain performance constraints. The information is assumed to be generated by a source and may, for example, represent a voice waveform, the reading of a thermal sensor, or ...

EPFL2005

Computational Hardness and Explicit Constructions of Error Correcting Codes

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

n

and

k

, constru ...

2006