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

Publications associées (130)

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Fountain Capacity

Emre Telatar

Fountain codes have been successfully employed for reliable and efficient transmission of information via erasure channels with unknown erasure rates. This paper introduces the notion of fountain capacity for arbitrary channels, and shows that it is equal ...

2006

Design Principles for Raptor Codes

Mohammad Amin Shokrollahi

In this paper we describe some practical aspects of the design process of good Raptor codes for finite block lengths over arbitrary binary input symmetric channels. In particular we introduce a simple model for the finite-length convergence behavior of the ...

2006

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

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

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 capacity of multiple input erasure relay channels: The Non-degraded case

Ramin Khalili

We consider in this paper a network that consists of two senders and two receivers. We further assume that each sender could act as a relay for other communications. All channels connecting these nodes are supposed to be erasure channels where symbols are ...

2005

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

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

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

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 is available with perfect (causal) feedback for communication. A recent result (A. Tchamkerten and I.E. Telatar) shows the existence, for certain families of channels (e.g. binar ...

2005