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Re-proving Channel Polarization Theorems

Publications associées (303)

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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 capacity of erasure relay channel: Multi-relay case

Ramin Khalili

We consider here a single sender-destination multirelay channel. The links connecting the nodes are supposed to be erasure where symbols are received correctly without any error, or lost. We consider that the nodes are not able to use any interference canc ...

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

On the Capacity of Large Gaussian Relay Networks

Martin Vetterli, Michael Christoph Gastpar

The capacity of a particular large Gaussian relay network is determined in the limit as the number of relays tends to infinity. Upper bounds are derived from cut-set arguments, and lower bounds follow from an argument involving uncoded transmission. It is ...

2005

Power, Spatio-Temporal Bandwidth, and Distortion in Large Sensor Networks

Martin Vetterli, Michael Christoph Gastpar

For a class of sensor networks, the task is to monitor an underlying physical phenomenon over space and time through an imperfect observation process. The sensors can communicate back to a central data collector over a noisy channel. The key pa- rameters i ...

Institute of Electrical and Electronics Engineers2005

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 Cascaded Channels with Finite Complexity Processing at Intermediate Nodes

Christina Fragouli, Urs Niesen

We consider communication through an infinite cascade of identical discrete memoryless channels. We allow the source and destination nodes to use coding schemes of arbitrary complexity, but restrict the intermediate (relay) nodes to process blocks of a fix ...

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

Single and Multi-Hop ARQ in Sensor Networks

Martin Vetterli, Henri Julien Dubois-Ferrière

We present a novel error-correction scheme for sensor networks called Multi-hop Hybrid ARQ (MHARQ). Rather than immediately discard a received corrupt packet, a node buffers it. When two corrupt versions of a packet have been received, a procedure attempts ...

2005

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