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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

This paper focuses on studying the fundamental performance limits and linear dispersion code design for the MIMO-ARQ slow fading channel. Optimal average rate of well-known HARQ protocols is analyzed. The optimal design of space-time coding…

Information Theory · Computer Science 2009-05-27 Cong Shen , Michael P. Fitz

In this paper, new probability bounds are derived for algebraic lattice codes. This is done by using the Dedekind zeta functions of the algebraic number fields involved in the lattice constructions. In particular, it is shown how to upper…

Information Theory · Computer Science 2013-04-19 Camilla Hollanti , Emanuele Viterbo , David Karpuk

Function-correcting codes, introduced by Lenz, Bitar, Wachter-Zeh, and Yaakobi, protect specific function values of a message rather than the entire message. A central challenge is determining the optimal redundancy -- the minimum…

Information Theory · Computer Science 2025-02-25 Gennian Ge , Zixiang Xu , Xiande Zhang , Yijun Zhang

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

Physical-layer network coding (PNC) is a communications paradigm that exploits overlapped transmissions to boost the throughput of wireless relay networks. A high point of PNC research was a theoretical proof that PNC that makes use of…

Networking and Internet Architecture · Computer Science 2017-08-23 Yihua Tan , Soung Chang Liew , Tao Huang

We consider coupled waveguide lattices as an architecture that implement a wide range of multiport transformations. In this architecture, a particular transfer matrix is obtained through setting the step-wise profiles of the propagation…

Optics · Physics 2021-08-11 N. N. Skryabin , I. V. Dyakonov , M. Yu. Saygin , S. P. Kulik

A lattice decoder which represents messages explicitly as a mixture of Gaussians functions is given. In order to prevent the number of functions in a mixture from growing as the decoder iterations progress, a method for replacing N Gaussian…

Information Theory · Computer Science 2008-02-06 Brian M. Kurkoski , Justin Dauwels

Lattice reduction algorithms, such as the LLL algorithm, have been proposed as preprocessing tools in order to enhance the performance of suboptimal receivers in MIMO communications. In this paper we introduce a new kind of lattice…

Information Theory · Computer Science 2010-01-12 Laura Luzzi , Ghaya Rekaya-Ben Othman , Jean-Claude Belfiore

We numerically study the problem of two fermions in a three dimensional optical lattice interacting via a zero-range Feshbach resonance, and display the dispersions of the bound states as a two-particle band structure with unique features…

Quantum Gases · Physics 2015-03-19 M. L. Wall , L. D. Carr

Independent parallel q-ary symmetric channels are a suitable transmission model for several applications. The proposed weighted-Hamming metric is tailored to this setting and enables optimal decoding performance. We show that some…

Information Theory · Computer Science 2024-02-16 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

A multiple-input multiple-output (MIMO) version of the dirty paper channel is studied, where the channel input and the dirt experience the same fading process and the fading channel state is known at the receiver (CSIR). This represents…

Information Theory · Computer Science 2017-06-22 Ahmed Hindy , Aria Nosratinia

Block-fading channel (BF) is a useful model for various wireless communication channels in both indoor and outdoor environments. The design of lattices for BF channels offers a challenging problem, which differs greatly from its…

Information Theory · Computer Science 2020-07-13 Hassan Khodaiemehr , Daniel Panario , Mohammad-Reza Sadeghi

This paper investigates double RIS-assisted MIMO communication systems over Rician fading channels with finite scatterers, spatial correlation, and the existence of a double-scattering link between the transceiver. First, the statistical…

Information Theory · Computer Science 2023-09-11 Ha An Le , Trinh Van Chien , Van Duc Nguyen , Wan Choi

In this paper, we propose a new structured Grassmannian constellation for noncoherent communications over single-input multiple-output (SIMO) Rayleigh block-fading channels. The constellation, which we call Grass-Lattice, is based on a…

Information Theory · Computer Science 2022-09-12 Javier Álvarez-Vizoso , Carlos Beltrán , Ignacio Santamaria , Vit Tucek , Gunnar Peters

Several new applications and a number of new mathematical techniques have increased the research on error-correcting codes in the Lee metric in the last decade. In this work we consider several coding problems and constructions of…

Information Theory · Computer Science 2015-03-13 Tuvi Etzion , Alexander Vardy , Eitan Yaakobi

Massive MIMO base stations use multiple spatial diversity branches, which are often assumed to be uncorrelated in theoretical work. Correlated branches are considered seldom since they are mathematically less tractable. For correlated…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Jens Abraham , Pablo Ramirez-Espinosa , Torbjörn Ekman

In this work, an explicit wiretap coding scheme based on polar lattices is proposed to achieve the secrecy capacity of the additive white Gaussian noise (AWGN) wiretap channel. Firstly, polar lattices are used to construct secrecy-good…

Information Theory · Computer Science 2017-12-27 Ling Liu , Yanfei Yan , Cong Ling

We propose a new scheme of wiretap lattice coding that achieves semantic security and strong secrecy over the Gaussian wiretap channel. The key tool in our security proof is the flatness factor which characterizes the convergence of the…

Information Theory · Computer Science 2016-11-18 Cong Ling , Laura Luzzi , Jean-Claude Belfiore , Damien Stehlé

In this paper, we consider a multiple-input-multiple-output optical wireless communication (MIMO-OWC) system suffering from log-normal fading. In this scenario, a general criterion for the design of full large-scale diversity space code…

Information Theory · Computer Science 2015-04-21 Yan-Yu Zhang , Hong-Yi Yu , Jian-Kang Zhang , Yi-Jun Zhu , Jin-Long Wang , Tao Wang