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Approximately achieving Gaussian relay network capacity with lattice codes

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On Speed and Advantage : Results in Information Velocity and Monitoring Problems

Reka Inovan

Information theory has allowed us to determine the fundamental limit of various communication and algorithmic problems, e.g., the channel coding problem, the compression problem, and the hypothesis testing problem. In this work, we revisit the assumptions ...

EPFL2024

A Unified Discretization Approach to Compute–Forward: From Discrete to Continuous Inputs

Michael Christoph Gastpar, Sung Hoon Lim, Adriano Pastore, Chen Feng

Compute–forward is a coding technique that enables receiver(s) in a network to directly decode one or more linear combinations of the transmitted codewords. Initial efforts focused on Gaussian channels and derived achievable rate regions via nested lattice ...

2022

Gaussian channel transmission of images and audio files using cryptcoding

Vladimir Ilievski

Random codes based on quasigroups (RCBQ) are cryptcodes, i.e. they are error-correcting codes, which provide information security. Cut-Decoding and 4-Sets-Cut-Decoding algorithms for these codes are defined elsewhere. Also, the performance of these codes f ...

2019

A coordinate system for Gaussian Networks

Emmanuel Abbé

This paper studies network information theory problems where the external noise is Gaussian distributed. In particular, the Gaussian broadcast channel with coherent fading and the Gaussian interference channel are investigated. It is shown that in these pr ...

Institute of Electrical and Electronics Engineers2012

Approximate Feedback Capacity of the Gaussian Multicast Channel

Michael Christoph Gastpar, Naveen Goela

We characterize the capacity region to within log {2(M − 1)} bits/s/Hz for the M -transmitter K -receiver Gaus- sian multicast channel with feedback where each receiver wishes to decode every message from the M transmitters. Extending Cover-Leung’s achieva ...

2012

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

Christina Fragouli, Ayan Sengupta, I-Hsiang Wang

We evaluate the information-theoretic achievable rates of Quantize-Map-and-Forward (QMF) relaying schemes over Gaussian N-relay diamond networks. Focusing on vector Gaussian quantization at the relays, our goal is to understand how close to the cutset uppe ...

Ieee2012

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

Christina Fragouli, Ayan Sengupta, I-Hsiang Wang

We evaluate the information-theoretic achievable rates of Quantize-Map-and-Forward (QMF) relaying schemes over Gaussian

N

-relay diamond networks. Focusing on vector Gaussian quantization at the relays, our goal is to understand how close to the cutset up ...

2012

Ergodic Interference Alignment

Michael Christoph Gastpar

This paper develops a new communication strategy, ergodic interference alignment, for the K-user interference channel with time-varying fading. At any particular time, each receiver will see a superposition of the transmitted signals plus noise. The standa ...

Institute of Electrical and Electronics Engineers2012

Polar coding schemes for the AWGN channel

Emmanuel Abbé

This paper investigates polar coding schemes achieving capacity for the AWGN channel. The approaches using a multiple access channel with a large number of binary-input users and a single-user channel with a large prime-cardinality input are compared with ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Channel State Feedback Over the MIMO-MAC

Krishna Kumar

In order to exploit the full multiplexing gain of multi-antenna multi-user downlink schemes, accurate channel state information at the transmitter (i.e., at the base station) is required. We consider the design of a closed-loop channel state information fe ...

2011

Optimizing Quantize-Map-and-Forward Relaying for Gaussian Diamond Networks

Christina Fragouli, Ayan Sengupta, I-Hsiang Wang

We evaluate the information-theoretic achievable rates of Quantize-Map-and-Forward (QMF) relaying schemes over Gaussian

N

-relay diamond networks. Focusing on vector Gaussian quantization at the relays, our goal is to understand how close to the cutset up ...

2012