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Optimal regular LDPC codes for the binary erasure channel

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Phase Transitions for Mutual Information

Mohammad Amin Shokrollahi, Krishna Kumar, Amir Hesam Salavati, Raj Kumar Krishna Kumar

We consider ensembles of binary linear error correcting codes, obtained by sampling each column of the generator matrix G or parity check matrix H independently from the set of all binary vectors of weight d (of appropriate dimension). We investigate the c ...

IEEE2010

Linear Universal Decoder for Compound Discrete Memoryless Channels

Rethnakaran Pulikkoonattu

Shannon in his seminal work \cite{paper:shannon} formalized the framework on the problem of digital communication of information and storage. He quantified the fundamental limits of compression and transmission rates. The quantity \textit{channel capacity} ...

2009

Capacity Achieving Codes from Randomness Conductors

Mahdi Cheraghchi Bashi Astaneh

We give a general framework for construction of small ensembles of capacity achieving linear codes for a wide range of (not necessarily memoryless) discrete symmetric channels, and in particular, the binary erasure and symmetric channels. The main tool use ...

2009

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

The Kaspi Rate-Distortion Problem with Encoder Side-Information: Binary Erasure Case

Emre Telatar, Suhas Diggavi, Etienne Perron

We consider the problem of compressing a binary symmetric i.i.d. source stream for two decoders, one of which has access to side-information. Kaspi found the rate-distortion tradeoff for this problem for general discrete memoryless sources for the two case ...

2006

Finite-Length Scaling For Gallager A

Rüdiger Urbanke, Jérémie Ezri

We consider LDPC codes, transmission over the binary symmetric channel (BSC), and decoding using Gallager's algorithm A. For those ensembles whose threshold is determined by the behavior of the algorithm at the beginning of the decoding process we derive a ...

2006

On the use of training sequences for channel estimation

Emre Telatar, Aslan Tchamkerten

Suppose Q is a family of discrete memoryless channels. An unknown member of Q will be available, with perfect, causal output feedback for communication. We study a scenario where communication is carried by first testing the channel by means of a training ...

2006

On the universality of Burnashev's error exponent

Emre Telatar, Aslan Tchamkerten

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 ...

2005

On the universality of Burnashev's error exponent

Emre Telatar, Aslan Tchamkerten

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 ...

2005

An information theory for erasure channels (invited paper)

Ramin Khalili

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 ...

2005