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Related papers: Lattice Codes Achieve the Capacity of Common Messa…

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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

A standard assumption in the design of ultra-reliable low-latency communication systems is that the duration between message arrivals is larger than the number of channel uses before the decoding deadline. Nevertheless, this assumption…

Information Theory · Computer Science 2025-01-31 Homa Nikbakht , Malcolm Egan , Jean-Marie Gorce , H. Vincent Poor

The problem of communicating over the additive white Gaussian noise (AWGN) channel with lattice codes is addressed in this paper. Theoretically, Voronoi constellations have proved to yield very powerful lattice codes when the fine/coding…

Information Theory · Computer Science 2017-08-03 Nicola di Pietro , Joseph J. Boutros

We consider lattice coset-coded transmissions over a wiretap channel with additive white Gaussian noise (AWGN). Examining a function that can be interpreted as either the legitimate receiver's error probability or the eavesdropper's correct…

Information Theory · Computer Science 2014-11-24 Alex Karrila , Camilla Hollanti

Linear-assignment Gel'fand-Pinsker coding (LA-GPC) is a coding technique for channels with interference known only at the transmitter, where the known interference is treated as side-information (SI). As a special case of LA-GPC, dirty…

Information Theory · Computer Science 2011-06-28 Shih-Chun Lin , Pin-Hsun Lin , Chung-Pi Lee , Hsuan-Jung Su

In this paper, we consider a robust lattice alignment design for K-user quasi-static MIMO interference channels with imperfect channel knowledge. With random Gaussian inputs, the conventional interference alignment (IA) method has the…

Information Theory · Computer Science 2015-05-27 Huang Huang , Vincent K. N. Lau , Yinggang Du , Sheng Liu

Interference alignment has emerged as a powerful tool in the analysis of multi-user networks. Despite considerable recent progress, the capacity region of the Gaussian K-user interference channel is still unknown in general, in part due to…

Information Theory · Computer Science 2016-11-15 Or Ordentlich , Uri Erez , Bobak Nazer

In this thesis, we mainly investigate the lattice coding problem of the downlink communication between a base station and multiple users. The base station broadcasts a message containing each user's intended message. The capacity limit of…

Information Theory · Computer Science 2019-06-18 Min Qiu

Recently, Etkin, Tse, and Wang found the capacity region of the two-user Gaussian interference channel to within one bit/s/Hz. A natural goal is to apply this approach to the Gaussian interference channel with an arbitrary number of users.…

Information Theory · Computer Science 2016-11-17 Guy Bresler , Abhay Parekh , David Tse

We present a capacity-achieving coding scheme for unicast or multicast over lossy packet networks. In the scheme, intermediate nodes perform additional coding yet do not decode nor even wait for a block of packets before sending out coded…

Information Theory · Computer Science 2008-04-11 Desmond S. Lun , Muriel Medard , Ralf Koetter , Michelle Effros

The L-user additive white Gaussian noise multi-way relay channel is considered, where multiple users exchange information through a single relay at a common rate. Existing coding strategies, i.e., complete-decode-forward and…

Information Theory · Computer Science 2015-03-14 Lawrence Ong , Christopher M. Kellett , Sarah J. Johnson

This paper investigates the additive white Gaussian noise two-way relay channel, where two users exchange messages through a relay. Asymmetrical channels are considered where the users can transmit data at different rates and at different…

Information Theory · Computer Science 2011-10-26 Lawrence Ong , Christopher M. Kellett , Sarah J. Johnson

Designing channel codes under low-latency constraints is one of the most demanding requirements in 5G standards. However, a sharp characterization of the performance of traditional codes is available only in the large block-length limit.…

Signal Processing · Electrical Eng. & Systems 2020-07-27 Yihan Jiang , Hyeji Kim , Himanshu Asnani , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

In this paper, we derive upper and lower bounds as well as a simple closed-form approximation for the capacity of the continuous-time, bandlimited, additive white Gaussian noise channel in a three-dimensional free-space electromagnetic…

Information Theory · Computer Science 2017-02-27 Richard J. Barton

Polar lattices, which are constructed from polar codes, have recently been proved to be able to achieve the capacity of the additive white Gaussian noise (AWGN) channel. In this work, we propose a new construction of polar lattices to solve…

Information Theory · Computer Science 2021-05-18 Ling Liu , Jinwen Shi , Cong Ling

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 novel construction of lattices is proposed. This construction can be thought of as a special class of Construction A from codes over finite rings that can be represented as the Cartesian product of $L$ linear codes over…

Information Theory · Computer Science 2017-06-23 Yu-Chih Huang , Krishna R. Narayanan

It has been shown recently that coding for the Gaussian Wiretap Channel can be done with nested lattices. A fine lattice intended to the legitimate user must be designed as a usual lattice code for the Gaussian Channel, while a coarse…

Information Theory · Computer Science 2010-12-21 Jean-Claude Belfiore , Frederique Oggier

Low density lattice codes (LDLC) are a family of lattice codes that can be decoded efficiently using a message-passing algorithm. In the original LDLC decoder, the message exchanged between variable nodes and check nodes are continuous…

Information Theory · Computer Science 2018-06-15 Shuiyin Liu , Yi Hong , Emanuele Viterbo , Alessia Marelli , Rino Micheloni

We study the joint source channel coding problem of transmitting an analog source over a Gaussian channel in two cases - (i) the presence of interference known only to the transmitter and (ii) in the presence of side information known only…

Information Theory · Computer Science 2016-09-08 Makesh Pravin Wilson , Krishna Narayanan , Giuseppe Caire