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The compute-and-forward framework permits each receiver in a Gaussian network to directly decode a linear combination of the transmitted messages. The resulting linear combinations can then be employed as an end-to-end communication…

Information Theory · Computer Science 2016-11-17 Bobak Nazer , Viveck Cadambe , Vasilis Ntranos , Giuseppe Caire

Delay constrained linear transmission (LT) strategies are considered for the transmission of composite Gaussian measurements over an additive white Gaussian noise fading channel under an average power constraint. If the channel state…

Information Theory · Computer Science 2016-11-15 Onur Tan , Deniz Gunduz , Jesus Gomez Vilardebo

Channel uncertainty and co-channel interference are two major challenges in the design of wireless systems such as future generation cellular networks. This paper studies receiver design for a wireless channel model with both time-varying…

Information Theory · Computer Science 2009-10-15 Yan Zhu , Dongning Guo , Michael L. Honig

Lattice codes with optimal decoding coefficient are capacity-achieving when dimension $N \rightarrow \infty$. In communications systems, finite dimensional lattice codes are considered, where the optimal decoding coefficients may still fail…

Information Theory · Computer Science 2025-01-09 Jiajie Xue , Brian M. Kurkoski

We consider the transmission of spatially correlated analog information in a wireless sensor network (WSN) through fading single-input and multiple-output (SIMO) multiple access channels (MACs) with low-latency requirements. A lattice-based…

Information Theory · Computer Science 2024-01-31 Pedro Suárez-Casal , Óscar Fresnedo , Darian Pérez-Adán , Luis Castedo

A lattice is a partially ordered set supporting a meet (or join) operation that returns the largest lower bound (smallest upper bound) of two elements. Just like graphs, lattices are a fundamental structure that occurs across domains…

Information Theory · Computer Science 2021-07-07 Markus Püschel , Bastian Seifert , Chris Wendler

The aim of this paper is to study the achievable rates for a $K$ user Gaussian interference channels for any SNR using a combination of lattice and algebraic codes. Lattice codes are first used to transform the Gaussian interference channel…

Information Theory · Computer Science 2011-09-27 Amin Jafarian , Sriram Vishwanath

This paper studies Gaussian Two-Way Relay Channel where two communication nodes exchange messages with each other via a relay. It is assumed that all nodes operate in half duplex mode without any direct link between the communication nodes.…

Information Theory · Computer Science 2016-11-17 Sinda Smirani , Mohamed Kamoun , Mireille Sarkiss , Abdellatif Zaidi , Pierre Duhamel

Lattice coding and decoding have been shown to achieve the capacity of the additive white Gaussian noise (AWGN) channel. This was accomplished using a minimum mean-square error scaling and randomization to transform the AWGN channel into a…

Information Theory · Computer Science 2013-08-08 Charles H. Swannack , Uri Erez , Gregory W. Wornell

We develop a message-passing algorithm for noisy matrix completion problems based on matrix factorization. The algorithm is derived by approximating message distributions of belief propagation with Gaussian distributions that share the same…

Machine Learning · Statistics 2021-10-27 Koki Okajima , Yoshiyuki Kabashima

In this paper, we address the message-passing receiver design for the 3D massive MIMO-OFDM systems. With the aid of the central limit argument and Taylor-series approximation, a computationally efficient receiver that performs joint channel…

Information Theory · Computer Science 2016-01-05 Sheng Wu , Linling Kuang , Zuyao Ni , Defeng , Huang , Qinghua Guo , Jianhua Lu

Neural machine translation (NMT) takes deterministic sequences for source representations. However, either word-level or subword-level segmentations have multiple choices to split a source sequence with different word segmentors or…

Computation and Language · Computer Science 2019-06-05 Fengshun Xiao , Jiangtong Li , Hai Zhao , Rui Wang , Kehai Chen

A generalization of the Gaussian dirty-paper problem to a multiple access setup is considered. There are two additive interference signals, one known to each transmitter but none to the receiver. The rates achievable using Costa's…

Information Theory · Computer Science 2009-04-14 Tal Philosof , Ram Zamir , Uri Erez , Ashish Khisti

A formula is derived for the capacity of the Gaussian channel with a benevolent message-cognizant rate-limited helper that provides a noncausal description of the noise to the encoder and decoder. This capacity is strictly larger than when…

Information Theory · Computer Science 2023-10-25 Amos Lapidoth , Ligong Wang , Yiming Yan

We address noisy message-passing decoding of lowdensity parity-check (LDPC) codes over additive white Gaussian noise channels. Message-passing decoders in which certain processing units iteratively exchange messages are common for decoding…

Information Theory · Computer Science 2015-06-02 Alla Tarighati , Hamed Farhadi , Farshad Lahouti

Lattice reduction-aided decoding features reduced decoding complexity and near-optimum performance in multi-input multi-output communications. In this paper, a quantitative analysis of lattice reduction-aided decoding is presented. To this…

Information Theory · Computer Science 2015-10-28 Cong Ling

In this paper, we consider quantized decoding of LDPC codes on the binary symmetric channel. The binary message passing algorithms, while allowing extremely fast hardware implementation, are not very attractive from the perspective of…

Information Theory · Computer Science 2016-11-17 Lucile Sassatelli , Shashi Kiran Chilappagari , Bane Vasic , David Declercq

This paper is about receiving text messages through a noisy and costly line. Because the line is noisy we need redundancy, but because it is costly we can afford very little of it. I start by using well-known machinery for decoding noisy…

Optimization and Control · Mathematics 2022-04-28 Leo Liberti

Lattices are deceptively simple mathematical structures that have become indispensable for code design for physical layer communications. While lattice-related problems are interesting in their own right, the usefulness of these discrete…

Information Theory · Computer Science 2017-06-21 Amaro Barreal

Neural network decoding algorithms are recently introduced by Nachmani et al. to decode high-density parity-check (HDPC) codes. In contrast with iterative decoding algorithms such as sum-product or min-sum algorithms in which the weight of…

Information Theory · Computer Science 2018-09-14 Mohammad-Reza Sadeghi , Farzane Amirzade , Daniel Panario , Amin Sakzad