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

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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

On the Dispersions of the Gel'fand-Pinsker Channel and Dirty Paper Coding

Jonathan Mark Scarlett

This paper studies the second-order coding rates for memoryless channels with a state sequence known non-causally at the encoder. In the case of finite alphabets, an achievability result is obtained using constant-composition random coding, and by using a ...

Institute of Electrical and Electronics Engineers2015

Scaling Exponent of List Decoders With Applications to Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani, Marco Mondelli

Motivated by the significant performance gains which polar codes experience under successive cancellation list decoding, their scaling exponent is studied as a function of the list size. In particular, the error probability is fixed, and the tradeoff betwe ...

Ieee-Inst Electrical Electronics Engineers Inc2015

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

Secure Network Coding With Erasures and Feedback

Christina Fragouli, Suhas Diggavi, László Czap, Vinod Malathidevi Prabhakaran

Secure network coding assumes that the underlying network channels are error-free; thus, if our channels introduce errors, we need to first apply a channel code to correct them, and then build security on top of the resulting error-free network. In this pa ...

Ieee-Inst Electrical Electronics Engineers Inc2015

LLR-Based Successive Cancellation List Decoding of Polar Codes

Andreas Peter Burg, Alexios Konstantinos Balatsoukas Stimming

We show that successive cancellation list decoding can be formulated exclusively using log-likelihood ratios. In addition to numerical stability, the log-likelihood ratio based formulation has useful properties that simplify the sorting step involved in su ...

Institute of Electrical and Electronics Engineers2015

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

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

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Re-proving Channel Polarization Theorems

Polar Codes for Broadcast Channels

On the Dispersions of the Gel'fand-Pinsker Channel and Dirty Paper Coding

Scaling Exponent of List Decoders With Applications to Polar Codes

Achieving Marton's Region for Broadcast Channels Using Polar Codes

Secure Network Coding With Erasures and Feedback

Non-malleable Reductions and Applications

LLR-Based Successive Cancellation List Decoding of Polar Codes

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

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

Polar Codes for Broadcast Channels

Re-proving Channel Polarization Theorems

On the Dispersions of the Gel'fand-Pinsker Channel and Dirty Paper Coding

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

Non-malleable Reductions and Applications

Scaling Exponent of List Decoders With Applications to Polar Codes

Achieving Marton's Region for Broadcast Channels Using Polar Codes

LLR-Based Successive Cancellation List Decoding of Polar Codes

Secure Network Coding With Erasures and Feedback

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