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In this paper we show that any sequence of infinite lattice constellations which is good for the unconstrained Gaussian channel can be shaped into a capacity-achieving sequence of codes for the power-constrained Gaussian channel under…

Information Theory · Computer Science 2018-06-26 Antonio Campello , Daniel Dadush , Cong Ling

A Lattice is a partially ordered set where both least upper bound and greatest lower bound of any pair of elements are unique and exist within the set. K\"{o}tter and Kschischang proved that codes in the linear lattice can be used for error…

Discrete Mathematics · Computer Science 2021-09-30 Pranab Basu

We investigate the information-theoretic throughout achievable on a fading communication link when the receiver is equipped with one-bit analog-to-digital converters (ADCs). The analysis is conducted for the setting where neither the…

Information Theory · Computer Science 2015-05-06 Sven Jacobsson , Giuseppe Durisi , Mikael Coldrey , Ulf Gustavsson , Christoph Studer

Existing error correction mechanisms in lattice-based public key encryption (PKE) rely on either naive modulation or its concatenation with error correction codes (ECC). This paper shows that lattice coding, as a joint ECC and modulation…

Information Theory · Computer Science 2023-05-23 Shanxiang Lyu , Ling Liu , Cong Ling , Junzuo Lai , Hao Chen

Designs and methods for nested lattice codes using Construction D' lattices for coding and convolutional code lattices for shaping are described. Two encoding methods and a decoding algorithm for Construction D' coding lattices that can be…

Information Theory · Computer Science 2022-01-03 Fan Zhou , Brian M. Kurkoski

We develop the formalism for the evaluation of density-density correlators in lattice QCD that includes techniques for the computation of the all-to-all propagators involved. A novel technique in this context is the implementation of the…

High Energy Physics - Lattice · Physics 2009-02-23 Constantia Alexandrou , Giannis Koutsou

The millimeter-wave bands have been attracting significant interest as a means to achieve major improvements in data rates and network efficiencies. One significant limitation for use of the millimeter-wave bands for cellular communication…

Networking and Internet Architecture · Computer Science 2015-12-10 Murali Narasimha , Hossein Bagheri

In wireless communication systems, there are many stages for signal transmission. Among them, mapping and demapping convert a sequence of bits into a sequence of complex numbers and vice versa. This operation is performed by a system of…

Information Theory · Computer Science 2023-03-07 Daniil Yudakov , Dmitrii Kolosov , Evgeny Bobrov

Function-correcting codes are a coding framework designed to minimize redundancy while ensuring that specific functions or computations of encoded data can be reliably recovered, even in the presence of errors. The choice of metric is…

Information Theory · Computer Science 2026-02-18 Gyanendra K. Verma , Abhay Kumar Singh

In this paper, we propose two novel physical layer aware adaptive network coding and coded modulation schemes for time variant channels. The proposed schemes have been applied to different satellite communications scenarios with different…

Information Theory · Computer Science 2017-04-18 Ala Eddine Gharsellaoui , Samah A. M. Ghanem , Daniele Tarchi , Alessandro Vanelli-Coralli

Amplitude damping (AD) channels are good models for many physical scenarios, and so the development of protocols to discriminate between them is an important task in quantum information science. It is therefore important to bound the…

Quantum Physics · Physics 2021-04-28 Jason L. Pereira , Stefano Pirandola

Electrical and optical properties of binary inhomogeneous media are currently modelled by a random network of metallic bonds (conductance $\sigma_0$, concentration $p$) and dielectric bonds (conductance $\sigma_1$, concentration $1-p$). The…

Condensed Matter · Physics 2009-10-28 J. P. Clerc , G. Giraud , J. M. Luck , Th. Robin

We consider the problem of two transmitters wishing to exchange information through a relay in the middle. The channels between the transmitters and the relay are assumed to be synchronized, average power constrained additive white Gaussian…

Information Theory · Computer Science 2016-09-08 Makesh Pravin Wilson , Krishna Narayanan , Henry Pfister , Alex Sprintson

We study both experimentally and theoretically the losses induced by parametric excitation in far-off-resonance optical lattices. The atoms confined in a 1D sinusoidal lattice present an excitation spectrum and dynamics substantially…

Atomic Physics · Physics 2009-11-07 R. Jáuregui , N. Poli , G. Roati , G. Modugno

Recent developments in Multiple-Input-Multiple-Output (MIMO) technology include packing a large number of antenna elements in a compact array to access the bandwidth benefits provided by higher mutual coupling (MC). The resulting…

Information Theory · Computer Science 2025-05-28 Sachitha C. Bandara , Peter J. Smith , Erfan Khordad , Robin Evans , Rajitha Senanayake

In this paper we give the generalization of lifted codes over any finite chain ring. This has been done by using the construction of finite chain rings from $p$-adic fields. Further we propose a lattice construction from linear codes over…

Information Theory · Computer Science 2020-07-14 Reguia Lamia Bouzara , Kenza Guenda , Edgar Martínez-Moro

A growing acceptance of fiber reinforced composite materials imparts some relevance to exploring the effects which a predominantly linear scattering lattice may have upon interior radiant transport. Indeed, a central feature of…

Classical Analysis and ODEs · Mathematics 2018-02-27 J. A. Grzesik

In this paper, we consider the use of lattice codes over Eisenstein integers for implementing a compute-and-forward protocol in wireless networks when channel state information is not available at the transmitter. We extend the…

Information Theory · Computer Science 2014-10-22 Nihat Engin Tunali , Yu-Chih Huang , Joseph J. Boutros , Krishna R. Narayanan

In this paper, we study single transceiver passive RFID networks by modeling the underlying physical system as a special cascade of a certain broadcast channel (BCC) and a multiple access channel (MAC), using a "nested codebook" structure…

Information Theory · Computer Science 2009-01-07 Yucel Altug , S. Serdar Kozat , M. Kivanc Mihcak

In this paper, a class of relay networks is considered. We assume that, at a node, outgoing channels to its neighbors are orthogonal, while incoming signals from neighbors can interfere with each other. We are interested in the multicast…

Information Theory · Computer Science 2016-11-17 Wooseok Nam , Sae-Young Chung , Yong H. Lee