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We investigate the optimal performance of dense sensor networks by studying the joint source-channel coding problem. The overall goal of the sensor network is to take measurements from an underlying random process, code and transmit those…

Information Theory · Computer Science 2007-07-13 Nan Liu , Sennur Ulukus

Contrary to the traditional pursuit of research on nonuniform sampling of bandlimited signals, the objective of the present paper is not to find sampling conditions that permit perfect reconstruction, but to perform the best possible signal…

Signal Processing · Electrical Eng. & Systems 2024-04-05 Nguyen T. Thao , Dominik Rzepka , Marek Miskowicz

An information-spectrum approach is applied to solve the multiterminal source coding problem for correlated general sources, where sources may be nonstationary and/or nonergodic, and the distortion measure is arbitrary and may be…

Information Theory · Computer Science 2007-07-13 Shengtian Yang , Peiliang Qiu

In many applications sampled data are collected in irregular fashion or are partly lost or unavailable. In these cases it is required to convert irregularly sampled signals to regularly sampled ones or to restore missing data. In this…

Compressive sampling has become a widely used approach to construct polynomial chaos surrogates when the number of available simulation samples is limited. Originally, these expensive simulation samples would be obtained at random locations…

Computation · Statistics 2018-07-04 Negin Alemazkoor , Hadi Meidani

The problem of estimating the accuracy of signal reconstruction from threshold-based sampling, by only taking the sampling output into account, is addressed. The approach is based on re-sampling the reconstructed signal and the application…

Signal Processing · Electrical Eng. & Systems 2018-11-06 Bernhard Moser

This paper concerns the problem of recovering an unknown but structured signal $x \in R^n$ from $m$ quadratic measurements of the form $y_r=|<a_r,x>|^2$ for $r=1,2,...,m$. We focus on the under-determined setting where the number of…

Machine Learning · Computer Science 2017-02-22 Mahdi Soltanolkotabi

Distribution-preserving integrated sensing and communication with secure reconstruction is investigated in this paper. In addition to the distortion constraint, we impose another constraint on the distance between the reconstructed sequence…

Information Theory · Computer Science 2024-07-11 Yiqi Chen , Tobias Oechtering , Holger Boche , Mikael Skoglund , Yuan Luo

We investigate whether uncoded schemes are optimal for Gaussian sources on multiuser Gaussian channels. Particularly, we consider two problems: the first is to send correlated Gaussian sources on a Gaussian broadcast channel where each…

Information Theory · Computer Science 2017-03-02 Chao Tian , Jun Chen , Suhas Diggavi , Shlomo Shamai

The problem of real-time remote tracking and reconstruction of a two-state Markov process is considered here. A transmitter sends samples from an observed information source to a remote monitor over an unreliable wireless channel. The…

Information Theory · Computer Science 2023-09-22 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

The problem of the distributed recovery of jointly sparse signals has attracted much attention recently. Let us assume that the nodes of a network observe different sparse signals with common support; starting from linear, compressed…

Optimization and Control · Mathematics 2016-11-15 Sophie M. Fosson , Javier Matamoros , Carles Anton-Haro , Enrico Magli

A problem is addressed of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy. A sampling theory based method of image sampling and reconstruction is suggested that allows…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 Leonid Yaroslavsky

In this paper, we investigate the problem of recovering source information from an incomplete set of network coded data. We first study the theoretical performance of such systems under maximum a posteriori (MAP) decoding and derive the…

Information Theory · Computer Science 2015-03-16 Eirina Bourtsoulatze , Nikolaos Thomos , Pascal Frossard

In this paper, we consider a distributed remote source coding problem, where a sequence of observations of source vectors is available at the encoder. The problem is to specify the optimal rate for encoding the observations subject to a…

Information Theory · Computer Science 2014-06-05 Adel Zahedi , Jan Ostergaard , Soren Holdt Jensen , Patrick Naylor , Soren Bech

Consider a Gaussian memoryless multiple source with $m$ components with joint probability distribution known only to lie in a given class of distributions. A subset of $k \leq m$ components are sampled and compressed with the objective of…

Information Theory · Computer Science 2018-03-16 Vinay Praneeth Boda

In this work, we study the real-time tracking and reconstruction of an information source with the purpose of actuation. A device monitors the state of the information source and transmits status updates to a receiver over a wireless…

Information Theory · Computer Science 2023-02-28 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

Optimal sensor placement is a central challenge in the design, prediction, estimation, and control of high-dimensional systems. High-dimensional states can often leverage a latent low-dimensional representation, and this inherent…

Optimization and Control · Mathematics 2020-05-18 Krithika Manohar , Bingni W. Brunton , J. Nathan Kutz , Steven L. Brunton

Significant challenges exist in efficient data analysis of most advanced experimental and observational techniques because the collected signals often include unwanted contributions--such as background and signal distortions--that can…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Yuan Ni , Zhantao Chen , Alexander N. Petsch , Edmund Xu , Cheng Peng , Alexander I. Kolesnikov , Sugata Chowdhury , Arun Bansil , Jana B. Thayer , Joshua J. Turner

In linear inverse problems, the goal is to recover a target signal from undersampled, incomplete or noisy linear measurements. Typically, the recovery relies on complex numerical optimization methods; recent approaches perform an unfolding…

Machine Learning · Computer Science 2020-01-08 Evaggelia Tsiligianni , Nikos Deligiannis

The problem of reconstructing a source sequence with the presence of decoder side-information that is mis-synchronized to the source due to deletions is studied in a distributed source coding framework. Motivated by practical applications,…

Information Theory · Computer Science 2016-11-17 Nan Ma , Kannan Ramchandran , David Tse