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For ergodic fading, a lattice coding and decoding strategy is proposed and its performance is analyzed for the single-input single-output (SISO) and multiple-input multiple-output (MIMO) point-to-point channel as well as the multiple-access…

Information Theory · Computer Science 2017-02-28 Ahmed Hindy , Aria Nosratinia

We investigate the design of two neural network (NN) architectures recently proposed as decoders for forward error correction: the so-called single-label NN (SLNN) and multi-label NN (MLNN) decoders. These decoders have been reported to…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Yunus Can Gültekin , Péter Scheepers , Yuncheng Yuan , Federico Corradi , Alex Alvarado

We develop two new designs of unitary differential space-time modulation (DSTM) with low decoding complexity. Their decoder can be separated into a few parallel decoders, each of which has a decoding search space of less than sqrt(N) if the…

Information Theory · Computer Science 2008-06-23 Chau Yuen , Yong Liang Guan , T. T. Tjhung

LDPC lattices were the first family of lattices which have an efficient decoding algorithm in high dimensions over an AWGN channel. Considering Construction D' of lattices with one binary LDPC code as underlying code gives the well known…

Information Theory · Computer Science 2016-12-14 Hassan Khodaiemehr , Mohammad-Reza Sadeghi , Daniel Panario

A Space-Time Block Code (STBC) in $K$ symbols (variables) is called $g$-group decodable STBC if its maximum-likelihood decoding metric can be written as a sum of $g$ terms such that each term is a function of a subset of the $K$ variables…

Information Theory · Computer Science 2007-07-16 Sanjay Karmakar , B. Sundar Rajan

A lattice L is spatial if every element of L is a join of completely join-irreducible elements of L (points), and strongly spatial if it is spatial and the minimal coverings of completely join-irreducible elements are well-behaved.…

Rings and Algebras · Mathematics 2011-07-04 Luigi Santocanale , Friedrich Wehrung

We build a rigorous bridge between deep networks (DNs) and approximation theory via spline functions and operators. Our key result is that a large class of DNs can be written as a composition of max-affine spline operators (MASOs), which…

Machine Learning · Statistics 2018-11-13 Randall Balestriero , Richard Baraniuk

In the last few years the so--called "linear deterministic" model of relay channels has gained popularity as a means of studying the flow of information over wireless communication networks, and this approach generalizes the model of…

Information Theory · Computer Science 2009-04-17 S. M. Sadegh Tabatabaei Yazdi , Serap A. Savari

Lattices possess elegant mathematical properties which have been previously used in the literature to show that structured codes can be efficient in a variety of communication scenarios, including coding for the additive white Gaussian…

Information Theory · Computer Science 2017-12-19 Lakshmi Natarajan , Yi Hong , Emanuele Viterbo

We design optimal $2 \times N$ ($2 <N$) matrices, with unit columns, so that the maximum condition number of all the submatrices comprising 3 columns is minimized. The problem has two applications. When estimating a 2-dimensional signal by…

Information Theory · Computer Science 2012-12-17 Hema Kumari Achanta , Weiyu Xu , Soura Dasgupta

Recently, Low Earth Orbit (LEO) satellite networks (i.e., non-terrestrial network (NTN)), such as Starlink, have been successfully deployed to provide broader coverage than terrestrial networks (TN). Due to limited spectrum resources, TN…

Networking and Internet Architecture · Computer Science 2025-01-07 Haoxuan Yuan , Zhe Chen , Zheng Lin , Jinbo Peng , Yuhang Zhong , Xuanjie Hu , Songyan Xue , Wei Li , Yue Gao

This paper proposes a deep learning-based channel estimation method for multi-cell interference-limited massive MIMO systems, in which base stations equipped with a large number of antennas serve multiple single-antenna users. The proposed…

Signal Processing · Electrical Eng. & Systems 2019-08-02 Eren Balevi , Akash Doshi , Jeffrey G. Andrews

Deep Neural Networks (DNNs) have already become a crucial computational approach to revealing the spatial patterns in the human brain; however, there are three major shortcomings in utilizing DNNs to detect the spatial patterns in…

Machine Learning · Computer Science 2022-05-26 Wei Zhang , Yu Bao

The number of wireless devices which are connected to a single Wireless Local Area Network continues to grow each year. As a result, the orchestration of so many devices becomes a daunting, resource--consuming task, especially when the…

Information Theory · Computer Science 2023-01-19 George Vershinin , Asaf Cohen , Omer Gurewitz

In this work, a new fast-decodable space-time block code (STBC) is proposed. The code is full-rate and full-diversity for 4x2 multiple-input multiple-output (MIMO) transmission. Due to the unique structure of the codeword, the proposed code…

Information Theory · Computer Science 2014-01-08 Ming Liu , Maryline Hélard , Jean-François Hélard , Matthieu Crussière

We address the problem of learning the parameters of a stable linear time invariant (LTI) system or linear dynamical system (LDS) with unknown latent space dimension, or order, from a single time--series of noisy input-output data. We focus…

Systems and Control · Computer Science 2020-04-09 Tuhin Sarkar , Alexander Rakhlin , Munther A. Dahleh

We study uniquely decodable codes and list decodable codes in the high-noise regime, specifically codes that are uniquely decodable from $\frac{1-\varepsilon}{2}$ fraction of errors and list decodable from $1-\varepsilon$ fraction of…

Information Theory · Computer Science 2024-11-06 Xin Li , Songtao Mao

We propose a new method to construct maximin distance designs with arbitrary number of dimensions and points. The proposed designs hold interleaved-layer structures and are by far the best maximin distance designs in four or more…

Methodology · Statistics 2018-07-09 Xu He

Algebraic methods for the design of series of maximum distance separable (MDS) linear block and convolutional codes to required specifications and types are presented. Algorithms are given to design codes to required rate and required…

Information Theory · Computer Science 2022-07-14 Ted Hurley

The optimal branch number of MDS matrices makes them a preferred choice for designing diffusion layers in many block ciphers and hash functions. Consequently, various methods have been proposed for designing MDS matrices, including search…

Information Theory · Computer Science 2026-04-10 Kishan Chand Gupta , Sumit Kumar Pandey , Susanta Samanta