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Zero-error list capacities of discrete memoryless channels

Publications associées (38)

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Re-proving Channel Polarization Theorems

Mine Alsan

The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Arikan proved that this class of codes, ...

EPFL2015

Finite-Length Scaling for Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani

Consider a binary-input memoryless output-symmetric channel W. Such a channel has a capacity, call it I (W), and for any R < I (W) and strictly positive constant P-e we know that we can construct a coding scheme that allows transmission at rate R with an e ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Polarization Theorems for Arbitrary DMCs

Emre Telatar, Rajai Nasser

A polarization phenomenon in a special sense is shown for an arbitrary discrete memoryless channel (DMC) by imposing a quasigroup structure on the input alphabet. The same technique is used to derive a polarization theorem for an arbitrary multiple access ...

IEEE2013

Windowed Decoding of Spatially Coupled Codes

Rüdiger Urbanke

Spatially coupled codes have been of interest recently owing to their superior performance over memoryless binary-input channels. The performance is good both asymptotically, since the belief propagation thresholds approach the Shannon limit, as well as fo ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Comment on “Reply to Comment on ‘Encoding many channels on the same frequency through radio vorticity: first experimental test’”

Julien Perruisseau-Carrier, Michele Tamagnone

We show that the reply by Tamburini et al (2012 New J. Phys. 14 118002) to our previous comment (2012 New J. Phys. 14 118001) on the experiment reported in Tamburini et al (2012 New J. Phys. 14 033001) does not actually invalidate any of the issues raised ...

Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft2013

The Least Degraded and the Least Upgraded Channel with respect to a Channel Family

Rüdiger Urbanke, Seyed Hamed Hassani, Wei Liu

Given a family of binary-input memoryless output-symmetric (BMS) channels having a fixed capacity, we derive the BMS channel having the highest (resp.lowest) capacity among all channels that are degraded (resp. upgraded) with respect to the whole family. W ...

Ieee2013

Polar Codes: Finite Length Implementation, Error Correlations and Multilevel Modulation

Shannon, in his seminal work, formalized the transmission of data over a communication channel and determined its fundamental limits. He characterized the relation between communication rate and error probability and showed that as long as the communicatio ...

2012

Broadcasting Nested Message Sets

Suhas Diggavi, Vinod Malathidevi Prabhakaran, Shirin Saeedi Bidokhti

In this paper, we take a deterministic approach to the problem of broadcasting nested message sets. We mainly consider the scenario where a common message and a private message are to be encoded into a signal and transmitted over a broadcast channel toward ...

2012

Polar codes for the m-user multiple access channels

Rajai Nasser

Polar codes are constructed for m-user multiple access channels (MAC) whose input alphabet size is a prime number. The block error probability under successive cancelation decoding decays exponentially with the square root of the block length. Although the ...

2011

Rateless Codes for AVC Models

Michael Christoph Gastpar

The arbitrarily varying channel (AVC) is a channel model whose state is selected maliciously by an adversary. Fixed-blocklength coding assumes a worst-case bound on the adversary's capabilities, which leads to pessimistic results. This paper defines a vari ...

2010