Publications associées à Compute–Forward Multiple Access (CFMA): Practical Implementations

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Random Access With Physical-Layer Network Coding

Michael Christoph Gastpar, Jasper Goseling

We consider a physical-layer network coding strategy for the random-access channel, based on compute-and-forward. When packets collide, it is possible to reliably recover a linear combination of the packets at the receiver. Over many rounds of transmission ...

Institute of Electrical and Electronics Engineers2015

Wave-Like Solutions of General 1-D Spatially Coupled Systems

Rüdiger Urbanke, Shrinivas Kudekar

We establish the existence of wave-like solutions to spatially coupled graphical models which, in the large size limit, can be characterized by a 1-D real-valued state. This is extended to a proof of the threshold saturation phenomenon for all such models, ...

Ieee-Inst Electrical Electronics Engineers Inc2015

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

Lattice Codes for Many-to-One Interference Channels With and Without Cognitive Messages

Michael Christoph Gastpar, Jingge Zhu

A new achievable rate region is given for the Gaussian cognitive many-to-one interference channel. The proposed novel coding scheme is based on the compute-and-forward approach with lattice codes. Using the idea of decoding sums of codewords, our scheme im ...

Institute of Electrical and Electronics Engineers2015

LDPC Codes for 2D Arrays

Mohammad Amin Shokrollahi, Yuval Cassuto

Binary codes over 2D arrays are very useful in data storage, where each array column represents a storage device or unit that may suffer failure. In this paper, we propose a new framework for probabilistic construction of codes on 2D arrays. Instead of a p ...

Institute of Electrical and Electronics Engineers2014

Universal Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani

Polar codes, invented by Arikan in 2009, are known to achieve the capacity of any binary-input memoryless outputsymmetric channel. Further, both the encoding and the decoding can be accomplished in O(N log(N)) real operations, where N is the blocklength. O ...

Ieee2014

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

Physical-layer Network Coding on the Random-access Channel

Michael Christoph Gastpar, Jasper Goseling

We consider a physical-layer network coding strat- egy for the random-access channel, based on compute-and- forward. When packets collide, it is possible to reliably recover a linear combination of the packets at the receiver. Over many rounds of transmiss ...

2013

Compute–Forward Multiple Access (CFMA): Practical Implementations

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Re-proving Channel Polarization Theorems

Random Access With Physical-Layer Network Coding

Wave-Like Solutions of General 1-D Spatially Coupled Systems

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

Lattice Codes for Many-to-One Interference Channels With and Without Cognitive Messages

LDPC Codes for 2D Arrays

Universal Polar Codes

Generalized Codes on Graphs and Applications in Content Distribution

Iterative Coding for Network Coding

Physical-layer Network Coding on the Random-access Channel

Generalized Codes on Graphs and Applications in Content Distribution

Iterative Coding for Network Coding

Random Access With Physical-Layer Network Coding

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

Lattice Codes for Many-to-One Interference Channels With and Without Cognitive Messages

Wave-Like Solutions of General 1-D Spatially Coupled Systems

LDPC Codes for 2D Arrays

Re-proving Channel Polarization Theorems

Universal Polar Codes

Physical-layer Network Coding on the Random-access Channel