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Compressed sensing is a processing method that significantly reduces the number of measurements needed to accurately resolve signals in many fields of science and engineering. We develop a two-dimensional (2D) variant of compressed sensing…

Quantum Physics · Physics 2012-07-17 J. N. Sanders , S. Mostame , S. K. Saikin , X. Andrade , J. R. Widom , A. H. Marcus , A. Aspuru-Guzik

In portable, three dimensional, and ultra-fast ultrasound imaging systems, there is an increasing demand for the reconstruction of high quality images from a limited number of radio-frequency (RF) measurements due to receiver (Rx) or…

Computer Vision and Pattern Recognition · Computer Science 2018-08-08 Yeo Hun Yoon , Shujaat Khan , Jaeyoung Huh , Jong Chul Ye

Presented is a novel way to combine snapshot compressive imaging and lateral shearing interferometry in order to capture the spatio-spectral phase of an ultrashort laser pulse in a single shot. A deep unrolling algorithm is utilised for the…

A range of efficient wireless processes and enabling techniques are put under a magnifier glass in the quest for exploring different manifestations of correlated processes, where sub-Nyquist sampling may be invoked as an explicit benefit of…

Information Theory · Computer Science 2017-09-08 Zhen Gao , Linglong Dai , Shuangfeng Han , I Chih-Lin , Zhaocheng Wang , Lajos Hanzo

The most common technique for generating B-mode ultrasound (US) images is delay and sum (DAS) beamforming, where the signals received at the transducer array are sampled before an appropriate delay is applied. This necessitates sampling…

Signal Processing · Electrical Eng. & Systems 2021-03-03 Alon Mamistvalov , Yonina C. Eldar

Ultrasound image compression by preserving speckle-based key information is a challenging task. In this paper, we introduce an ultrasound image compression framework with the ability to retain realism of speckle appearance despite achieving…

Computer Vision and Pattern Recognition · Computer Science 2019-01-18 Debarghya China , Francis Tom , Sumanth Nandamuri , Aupendu Kar , Mukundhan Srinivasan , Pabitra Mitra , Debdoot Sheet

As an alternative to the traditional sampling theory, compressed sensing allows acquiring much smaller amount of data, still estimating the spectra of frequency-sparse signals accurately. However, compressed sensing usually requires random…

Information Theory · Computer Science 2016-07-22 Shan Huang , Hong Sun , Haijian Zhang , Lei Yu

Photoacoustic tomography (PAT) is an emerging imaging modality that aims at measuring the high-contrast optical properties of tissues by means of high-resolution ultrasonic measurements. The interaction between these two types of waves is…

Analysis of PDEs · Mathematics 2021-07-27 Giovanni S. Alberti , Paolo Campodonico , Matteo Santacesaria

The problem of minimization of the number of measurements needed for digital image acquisition and reconstruction with a given accuracy is addressed. Basics of the sampling theory are outlined to show that the lower bound of signal sampling…

Computer Vision and Pattern Recognition · Computer Science 2018-03-01 Leonid P. Yaroslavsky

Sigma Delta quantization, a quantization method which first surfaced in the 1960s, has now been used widely in various digital products such as cameras, cell phones, radars, etc. The method samples an input signal at a rate higher than the…

Information Theory · Computer Science 2016-10-14 Rongrong Wang

In ultrasound nondestructive testing, a widespread approach is to take synthetic aperture measurements from the surface of a specimen to detect and locate defects within it. Based on these measurements, imaging is usually performed using…

Signal Processing · Electrical Eng. & Systems 2020-12-09 Jan Kirchhof , Sebastian Semper , Christoph W. Wagner , Eduardo Pérez , Florian Römer , Giovanni Del Galdo

Conventional Synthetic Aperture Radar (SAR) systems are limited in their ability to satisfy the increasing requirement for improved spatial resolution and wider coverage. The demand for high resolution requires high sampling rates, while…

Information Theory · Computer Science 2017-11-22 Kfir Aberman , Yonina C. Eldar

Diagnostic imaging plays a critical role in healthcare, serving as a fundamental asset for timely diagnosis, disease staging and management as well as for treatment choice, planning, guidance, and follow-up. Among the diagnostic imaging…

Signal Processing · Electrical Eng. & Systems 2021-09-24 Ruud JG van Sloun , Jong Chul Ye , Yonina C Eldar

To obtain the best resolution for any measurement there is an ever-present challenge to achieve maximal differentiation between signal and noise over as fine of sampling dimensions as possible. In diffraction science these issues are…

Instrumentation and Detectors · Physics 2023-10-23 James Weng , Niklas B. Thompson , Christopher Folmar , James D. Martin , Christina Hoffman

We advocate a compressed sensing strategy that consists of multiplying the signal of interest by a wide bandwidth modulation before projection onto randomly selected vectors of an orthonormal basis. Firstly, in a digital setting with random…

Information Theory · Computer Science 2012-03-13 Gilles Puy , Pierre Vandergheynst , Rémi Gribonval , Yves Wiaux

Imaging methods based on array signal processing often require a fixed propagation speed of the medium, or speed of sound (SoS) for methods based on acoustic signals. The resolution of the images formed using these methods is strongly…

Signal Processing · Electrical Eng. & Systems 2025-09-17 Kyurae Kim , Simon Maskell , Jason F. Ralph

Dynamic mode decomposition (DMD) is a powerful and increasingly popular tool for performing spectral analysis of fluid flows. However, it requires data that satisfy the Nyquist-Shannon sampling criterion. In many fluid flow experiments,…

Fluid Dynamics · Physics 2014-09-17 Jonathan H. Tu , Clarence W. Rowley , J. Nathan Kutz , Jessica K. Shang

Sampling theories lie at the heart of signal processing devices and communication systems. To accommodate high operating rates while retaining low computational cost, efficient analog-to digital (ADC) converters must be developed. Many of…

Information Theory · Computer Science 2010-10-12 Moslem Rashidi

In ultrasound (US) imaging, individual channel RF measurements are back-propagated and accumulated to form an image after applying specific delays. While this time reversal is usually implemented using a hardware- or software-based…

Image and Video Processing · Electrical Eng. & Systems 2019-07-17 Shujaat Khan , Jaeyoung Huh , Jong Chul Ye

Ultrafast spectroscopy is an important tool for studying photoinduced dynamical processes in atoms, molecules, and nanostructures. Typically, the time to perform these experiments ranges from several minutes to hours depending on the choice…