Publications related to Asymptotic and finite-length analysis of low-density parity-check codes

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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 when they are decoded with successive cancellation list decoders, we study how the scaling exponent changes as a function of the list size L. In particular, we fix the block error ...

Ieee2013

Polar Codes For Broadcast Channels

Michael Christoph Gastpar, Emmanuel Abbé, Naveen Goela

Building on polar code constructions proposed by the authors for deterministic broadcast channels, two theorems are introduced in the present paper for noisy two-user broadcast channels. The theorems establish polar code constructions for two important ...

2013

A Fast Hadamard Transform for Signals with Sub-linear Sparsity

Martin Vetterli, Robin Scheibler, Saeid Haghighatshoar

A new iterative low complexity algorithm has been presented for computing the Walsh-Hadamard transform (WHT) of an N dimensional signal with a K-sparse WHT, where N is a power of two and K = O(N^α), scales sub- linearly in N for some 0 < α < 1. Assuming a ...

2013

Iterative Coding for Network Coding

Rüdiger Urbanke, Andrea Montanari

We consider communication over a noisy network under randomized linear network coding. Possible error mechanisms include node-or link-failures, Byzantine behavior of nodes, or an overestimate of the network min-cut. Building on the work of Kotter and Kschi ...

Ieee-Inst Electrical Electronics Engineers Inc2013

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

Secure Network Coding with Erasures and Feedback

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

Secure network coding assumes that the underlying network links are lossless, thus it can be applied over lossy networks after channel error correction. Yet it is well known that channel losses, such as packet erasures, can be constructively used for secre ...

2013

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

Rüdiger Urbanke, Seyed Hamed Hassani

We consider the asymptotic behavior of the polarization process in the large block-length regime when transmission takes place over a binary-input memoryless symmetric channel W. In particular, we study the asymptotics of the cumulative distribution, P(Z(n ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Approximate Decoding Approaches for Network Coded Correlated Data

Pascal Frossard, Nikolaos Thomos, Hyung Gon Park

This paper considers a framework where data from correlated sources are transmitted with help of network coding in ad-hoc network topologies. The correlated data are encoded independently at sensors and network coding is employed in the intermediate nodes ...

Institute of Electrical and Electronics Engineers2013

Asymptotic and finite-length analysis of low-density parity-check codes

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Scaling Exponent of List Decoders with Applications to Polar Codes

Polar Codes For Broadcast Channels

A Fast Hadamard Transform for Signals with Sub-linear Sparsity

Iterative Coding for Network Coding

Windowed Decoding of Spatially Coupled Codes

Polarization and Spatial Coupling

Secure Network Coding with Erasures and Feedback

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

Polarization Theorems for Arbitrary DMCs

Approximate Decoding Approaches for Network Coded Correlated Data

Scaling Exponent of List Decoders with Applications to Polar Codes

Windowed Decoding of Spatially Coupled Codes

Polar Codes For Broadcast Channels

Polarization Theorems for Arbitrary DMCs

Approximate Decoding Approaches for Network Coded Correlated Data

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

Polarization and Spatial Coupling

Secure Network Coding with Erasures and Feedback

A Fast Hadamard Transform for Signals with Sub-linear Sparsity

Iterative Coding for Network Coding