Publications related to Polarization and Channel Ordering: Characterizations and Topological Structures

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Achieving Marton's Region for Broadcast Channels Using Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

This paper presents polar coding schemes for the two-user discrete memoryless broadcast channel (DM-BC) which achieve Marton's region with both common and private messages. This is the best achievable rate region known to date, and it is tight for all clas ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Polar Codes for Broadcast Channels

Michael Christoph Gastpar, Emmanuel Abbé, Naveen Goela

Polar codes are introduced for discrete memoryless broadcast channels. For m-user deterministic broadcast channels, polarization is applied to map uniformly random message bits from m-independent messages to one codeword while satisfying broadcast constrai ...

Institute of Electrical and Electronics Engineers2015

Limits on Support Recovery with Probabilistic Models: An Information-Theoretic Framework

Volkan Cevher, Jonathan Mark Scarlett

The support recovery problem consists of deter- mining a sparse subset of a set of variables that is relevant in generating a set of observations, and arises in a diverse range of settings such as group testing, compressive sensing, and subset selection in ...

2015

Second-order asymptotics for the Gaussian MAC with degraded message sets

Jonathan Mark Scarlett

This paper studies the second-order asymptotics of the Gaussian multiple-access channel with degraded message sets. For a fixed average error probability epsilon is an element of (0, 1) and an arbitrary point on the boundary of the capacity region, we char ...

Institute of Electrical and Electronics Engineers2015

Second-Order Rate Region of Constant-Composition Codes for the Multiple-Access Channel

Jonathan Mark Scarlett, Albert Guillén i Fàbregas

This paper studies the second-order asymptotics of coding rates for the discrete memoryless multiple-access channel (MAC) with a fixed target error probability. Using constant-composition random coding, coded time-sharing, and a variant of Hoeffding's comb ...

Ieee-Inst Electrical Electronics Engineers Inc2015

Polarization Improves E-0

Emre Telatar, Mine Alsan

We prove that channel combining and splitting via Arikan's polarization transformation improves Gallager's reliability function E-0 for binary input channels. In this sense, polarization creates E-0. This observation gives yet another justification as to w ...

Ieee-Inst Electrical Electronics Engineers Inc2014

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

Achieving Marton's Region for Broadcast Channels Using Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

We present polar coding schemes for the 2-user discrete memoryless broadcast channel (DM-BC) which achieve Marton's region with both common and private messages. This is the best achievable rate region up to date, and it is tight for all classes of 2-user ...

Ieee2014

Polarization and Channel Ordering: Characterizations and Topological Structures

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Low Complexity Scheduling and Coding for Wireless Networks

Achieving Marton's Region for Broadcast Channels Using Polar Codes

Polar Codes for Broadcast Channels

Limits on Support Recovery with Probabilistic Models: An Information-Theoretic Framework

Second-order asymptotics for the Gaussian MAC with degraded message sets

Second-Order Rate Region of Constant-Composition Codes for the Multiple-Access Channel

Ergodic Theory Meets Polarization I: A Foundation of Polarization Theory

Polarization Improves E-0

Finite-Length Scaling for Polar Codes

Achieving Marton's Region for Broadcast Channels Using Polar Codes

Achieving Marton's Region for Broadcast Channels Using Polar Codes

Low Complexity Scheduling and Coding for Wireless Networks

Polar Codes for Broadcast Channels

Limits on Support Recovery with Probabilistic Models: An Information-Theoretic Framework

Second-order asymptotics for the Gaussian MAC with degraded message sets

Second-Order Rate Region of Constant-Composition Codes for the Multiple-Access Channel

Ergodic Theory Meets Polarization I: A Foundation of Polarization Theory

Polarization Improves E-0

Finite-Length Scaling for Polar Codes

Achieving Marton's Region for Broadcast Channels Using Polar Codes