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We consider the scenario where important signals are not strong enough to be separable from a large amount of noise. Such weak signals commonly exist in large-scale data analysis and play vital roles in many biomedical applications.…

Methodology · Statistics 2022-01-26 X. Jessie Jeng , Yifei Hu

In many signal processing applications, one wishes to acquire images that are sparse in transform domains such as spatial finite differences or wavelets using frequency domain samples. For such applications, overwhelming empirical evidence…

Computer Vision and Pattern Recognition · Computer Science 2013-10-22 Felix Krahmer , Rachel Ward

A signal recovery problem is considered, where the same binary testing problem is posed over multiple, independent data streams. The goal is to identify all signals, i.e., streams where the alternative hypothesis is correct, and noises,…

Methodology · Statistics 2022-11-08 Yiming Xing , Georgios Fellouris

This paper proposes a new sparse array source enumeration algorithm for underdetermined scenarios with more sources than sensors. The proposed algorithm decomposes the wideband signals into multiple uncorrelated frequency bands, computes…

Signal Processing · Electrical Eng. & Systems 2019-12-30 Yang Liu , John R. Buck

Fast-sampled models are essential for control design, e.g., to address intersample behavior. The aim of this paper is to develop a non-parametric identification technique for fast-sampled models of systems that have relevant dynamics and…

Systems and Control · Electrical Eng. & Systems 2023-06-08 Max van Haren , Leonid Mirkin , Lennart Blanken , Tom Oomen

This paper presents a significant modification to the Random Demodulator (RD) of Tropp et al. for sub-Nyquist sampling of frequency-sparse signals. The modification, termed constrained random demodulator, involves replacing the random…

Information Theory · Computer Science 2018-03-06 Andrew Harms , Waheed U. Bajwa , Robert Calderbank

The phase retrieval problem asks to recover a natural signal $y_0 \in \mathbb{R}^n$ from $m$ quadratic observations, where $m$ is to be minimized. As is common in many imaging problems, natural signals are considered sparse with respect to…

Information Theory · Computer Science 2018-07-12 Paul Hand , Oscar Leong , Vladislav Voroninski

This paper develops new theory and algorithms to recover signals that are approximately sparse in some general dictionary (i.e., a basis, frame, or over-/incomplete matrix) but corrupted by a combination of interference having a sparse…

Information Theory · Computer Science 2013-09-06 Christoph Studer , Richard G. Baraniuk

Traditional radar sensing typically involves matched filtering between the received signal and the shape of the transmitted pulse. Under the confinement of classic sampling theorem this requires that the received signals must first be…

Information Theory · Computer Science 2013-07-09 Eliahu Baransky , Gal Itzhak , Idan Shmuel , Noam Wagner , Eli Shoshan , Yonina C. Eldar

Regularization of the inverse problem is a complex issue when using Near-field Acoustic Holography (NAH) techniques to identify the vibrating sources. This paper shows that, for convex homogeneous plates with arbitrary boundary conditions,…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Gilles Chardon , Laurent Daudet , Antoine Peillot , François Ollivier , Nancy Bertin , Rémi Gribonval

A new scheme to sample signals defined in the nodes of a graph is proposed. The underlying assumption is that such signals admit a sparse representation in a frequency domain related to the structure of the graph, which is captured by the…

Social and Information Networks · Computer Science 2016-04-20 Antonio G. Marques , Santiago Segarra , Geert Leus , Alejandro Ribeiro

We study the sparse phase retrieval problem, recovering an $s$-sparse length-$n$ signal from $m$ magnitude-only measurements. Two-stage non-convex approaches have drawn much attention in recent studies for this problem. Despite…

Information Theory · Computer Science 2023-06-21 Jian-Feng Cai , Jingyang Li , Juntao You

Feature extraction, such as spectral occupancy, interferer energy and type, or direction-of-arrival, from wideband radio-frequency~(RF) signals finds use in a growing number of applications as it enhances RF transceivers with cognitive…

Information Theory · Computer Science 2017-09-05 Michaël Pelissier , Christoph Studer

Is it possible to detect a feature in an image without ever looking at it? Images are known to have sparser representation in Wavelets and other similar transforms. Compressed Sensing is a technique which proposes simultaneous acquisition…

Image and Video Processing · Electrical Eng. & Systems 2020-06-09 Suyash Shandilya

The problem of reconstructing a sparse signal vector from magnitude-only measurements (a.k.a., compressive phase retrieval), emerges naturally in diverse applications, but it is NP-hard in general. Building on recent advances in nonconvex…

Information Theory · Computer Science 2018-10-17 Liang Zhang , Gang Wang , Georgios B. Giannakis , Jie Chen

This paper presents a time-frequency phase-coded sub-Nyquist sampling orthogonal frequency division multiplexing (PC-SNS-OFDM) radar system to reduce the analog-to-digital converter (ADC) sampling rate without any additional hardware or…

Signal Processing · Electrical Eng. & Systems 2024-03-22 Seonghyeon Kang , Kawon Han , Songcheol Hong

This paper presents a dynamic predictive sampling (DPS) based analog-to-digital converter (ADC) that provides a non-uniform sampling of input analog continuous-time signals. The processing unit generates a dynamic prediction of the input…

Signal Processing · Electrical Eng. & Systems 2022-11-21 Xiaochen Tang , Mario Renteria-Pinon , Wei Tang

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

Many communication systems involve high bandwidth, while sparse, radio frequency (RF) signals. Working with high frequency signals requires appropriate system-level components such as high-speed analog-to-digital converters (ADC). In…

Information Theory · Computer Science 2015-03-03 Morteza Hashemi

Neuromorphic sampling is a bioinspired and opportunistic analog-to-digital conversion technique, where the measurements are recorded only when there is a significant change in the signal amplitude. Neuromorphic sampling has paved the way…

Signal Processing · Electrical Eng. & Systems 2023-10-25 Abijith Jagannath Kamath , Chandra Sekhar Seelamantula
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