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We consider the inverse problem of reconstructing an unknown function $u$ from a finite set of measurements, under the assumption that $u$ is the trajectory of a transport-dominated problem with unknown input parameters. We propose an…

Numerical Analysis · Mathematics 2024-11-12 Olga Mula , Cecilia Pagliantini , Federico Vismara

Spectrum scarcity is a prevalent problem in wireless networks due to the strict allotment of the spectrum (frequency bands) to licensed users by network regulatory bodies. Such an operation implies that the unlicensed users (secondary…

Networking and Internet Architecture · Computer Science 2023-10-03 Nyashadzashe Tamuka , Khulumani Sibanda

We analyze the problem of reconstruction of a bandlimited function $f$ from the space-time samples of its states $f_t=\phi_t\ast f$ resulting from the convolution with a kernel $\phi_t$. It is well-known that, in natural phenomena, uniform…

Classical Analysis and ODEs · Mathematics 2021-02-04 Akram Aldroubi , Karlheinz Gröchenig , Longxiu Huang , Philippe Jaming , Ilya Krishtal , José Luis Romero

Graph-based methods have been quite successful in solving unsupervised and semi-supervised learning problems, as they provide a means to capture the underlying geometry of the dataset. It is often desirable for the constructed graph to…

Machine Learning · Computer Science 2019-04-16 Aamir Anis , Aly El Gamal , Salman Avestimehr , Antonio Ortega

Recent control trends are increasingly relying on communication networks and wireless channels to close the loop for Internet-of-Things applications. Traditionally these approaches are model-based, i.e., assuming a network or channel model…

Systems and Control · Electrical Eng. & Systems 2019-11-11 Konstantinos Gatsis , George J. Pappas

An analysis of the influence of missing samples in signals exhibiting sparsity in the Hermite transform domain is provided. Based on the statistical properties derived for the Hermite coefficients of randomly undersampled signal, the…

Information Theory · Computer Science 2015-11-17 Miloš Brajovic , Irena Orovic , Milos Dakovic , Srdjan Stankovic

A comprehensive study on the applications of denoising diffusion models for wireless systems is provided. The article highlights the capabilities of diffusion models in learning complicated signal distributions, modeling wireless channels,…

Information Theory · Computer Science 2025-12-10 Mehdi Letafati , Samad Ali , Matti Latva-aho

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

Single-pixel imaging (SPI) is significant for applications constrained by transmission bandwidth or lighting band, where 3D SPI can be further realized through capturing signals carrying depth. Sampling strategy and reconstruction algorithm…

Image and Video Processing · Electrical Eng. & Systems 2025-04-01 Xinyue Ma , Chenxing Wang

Wireless sensor networks are an important technology for making distributed autonomous measures in hostile or inaccessible environments. Among the challenges they pose, the way data travel among them is a relevant issue since their…

Data Analysis, Statistics and Probability · Physics 2013-08-15 Raquel S. Cabral , Andre L. L. Aquino , Alejandro C. Frery , Osvaldo A. Rosso , Jaime A. Ramírez

The most important problem in telecommunication is bandwidth limitation due to the uncontrolled growth of wireless technology. Deploying dynamic spectrum access techniques is one of the procedures provided for efficient use of bandwidth. In…

Signal Processing · Electrical Eng. & Systems 2018-07-19 Mahdi Mir

The detection and parameter estimation of moving targets is one of the most important tasks in radar. Arrays of randomly distributed antennas have been popular for this purpose for about half a century. Yet, surprisingly little rigorous…

Numerical Analysis · Mathematics 2015-06-12 Thomas Strohmer , Haichao Wang

Reconstructing the unknown spectrum of a given X-ray source is a common problem in a wide range of X-ray imaging tasks. For high-energy sources, transmission measurements are mostly used to recover the X-ray spectrum, as a solution to an…

Applied Physics · Physics 2023-07-13 Arthur Walker , Alexandre Friou , Kevin Ginsburger

Wideband analog signals push contemporary analog-to-digital conversion systems to their performance limits. In many applications, however, sampling at the Nyquist rate is inefficient because the signals of interest contain only a small…

Information Theory · Computer Science 2016-11-15 Joel A. Tropp , Jason N. Laska , Marco F. Duarte , Justin K. Romberg , Richard G. Baraniuk

Coverage is one of the fundamental issues in wireless multimedia sensor networks (WMSNs). It reflects the ability of WMSNs to detect the fields. Motivated by the existing-enhancing algorithm of traditional 2D WMSNs, a new 3D WMSNs sensing…

Networking and Internet Architecture · Computer Science 2015-09-17 Shasha Xu , Weijie Lyu , Huilin Li

We study the problem of recovering an unknown compactly-supported multivariate function from samples of its Fourier transform that are acquired nonuniformly, i.e. not necessarily on a uniform Cartesian grid. Reconstruction problems of this…

Numerical Analysis · Mathematics 2022-05-04 Ben Adcock , Milana Gataric , José Luis Romero

We study the problem of selecting the best sampling set for bandlimited reconstruction of signals on graphs. A frequency domain representation for graph signals can be defined using the eigenvectors and eigenvalues of variation operators…

Information Theory · Computer Science 2016-06-29 Aamir Anis , Akshay Gadde , Antonio Ortega

In numerous practical applications, especially in medical image reconstruction, it is often infeasible to obtain a large ensemble of ground-truth/measurement pairs for supervised learning. Therefore, it is imperative to develop unsupervised…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Subhadip Mukherjee , Ozan Öktem , Carola-Bibiane Schönlieb

Neuromorphic sampling is a paradigm shift in analog-to-digital conversion where the acquisition strategy is opportunistic and measurements are recorded only when there is a significant change in the signal. Neuromorphic sampling has given…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Abijith Jagannath Kamath , Chandra Sekhar Seelamantula

Spatial imaging of magnetic stray fields from magnetic materials is a useful tool for identifying the underlying magnetic configurations of the material. However, transforming the magnetic image into a magnetization image is an ill-poised…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 David A. Broadway , Mykhailo Flaks , Adrien E. E. Dubois , Patrick Maletinsky