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The notion of wavelets is defined. It is briefly described {\it what} are wavelets, {\it how} to use them, {\it when} we do need them, {\it why} they are preferred and {\it where} they have been applied. Then one proceeds to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. M. Dremin

The empirical wavelet transform is an adaptive multiresolution analysis tool based on the idea of building filters on a data-driven partition of the Fourier domain. However, existing 2D extensions are constrained by the shape of the…

Spectral Theory · Mathematics 2024-10-28 Basile Hurat , Zariluz Alvarado , Jerome Gilles

In an active sensing system, waveforms with good auto-correlations are preferred for accurate parameter estimation. Furthermore, spectral compatibility is required to avoid mutual interference between devices as the electromagnetic…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Chin-Wei Huang , Li-Fu Chen , Borching Su

A sequential estimator based on the Ensemble Kalman Filter for Data Assimilation of fluid flows is presented in this research work. The main feature of this estimator is that the Kalman filter update, which relies on the determination of…

Computational Engineering, Finance, and Science · Computer Science 2021-07-28 Gabriel Moldovan , Guillame Lehnasch , Laurent Cordier , Marcello Meldi

Wide passband interdigital transducers are employed to establish a stable phase-lock between a train of laser pulses emitted by a mode-locked laser and a surface acoustic wave generated electrically by the transducer. The transducer design…

Shallow water waves are a striking example of nonlinear hydrodynamics, giving rise to phenomena such as tsunamis and undular waves. These dynamics are typically studied in hundreds-of-meter-long wave flumes. Here, we demonstrate a…

Nonlinear ultrasound imaging leverages harmonic wave generation to enhance contrast and spatial resolution beyond the capabilities of conventional linear techniques. This behavior is commonly modeled by the Westervelt equation, which…

Analysis of PDEs · Mathematics 2026-05-25 Benjamin Rainer , Barbara Kaltenbacher

In the workflow of Full-Waveform Inversion (FWI), we often tune the parameters of the inversion to help us avoid cycle skipping and obtain high resolution models. For example, typically start by using objective functions that avoid cycle…

Geophysics · Physics 2020-02-11 Bingbing Sun , Tariq Alkhalifah

Over the past fifty years, wavefront sensing technology has continuously evolved from basic techniques to high-precision systems, serving as a core methodology in adaptive optics (AO). Beyond traditional wavefront retrieval methods based on…

Optics · Physics 2025-05-13 Rundong Fan , Zichao Wang , Pei Li , Lei Huang

The ultimate goal of this work is a real-time processing framework for ultrasound image reconstruction augmented with machine learning. To attain this, we have implemented WaveFlow - a set of ultrasound data acquisition and processing tools…

Signal Processing · Electrical Eng. & Systems 2018-11-06 Piotr Jarosik , Michał Byra , Marcin Lewandowski

Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Arthur Bizzi , Matias Grynberg , Vitor Matias , Daniel Perazzo , João Paulo Lima , Luiz Velho , Nuno Gonçalves , João Pereira , Guilherme Schardong , Tiago Novello

This paper studies the fast adaptive beamforming for the multiuser multiple-input single-output downlink. Existing deep learning-based approaches assume that training and testing channels follow the same distribution which causes task…

Information Theory · Computer Science 2021-09-21 Juping Zhang , Yi Yuan , Gan Zheng , Ioannis Krikidis , Kai-Kit Wong

We discuss differences and similarities between variational Monte Carlo approaches that use conventional and artificial neural network parameterizations of the ground-state wave function for systems of fermions. We focus on a relatively…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Even M. Nordhagen , Jane M. Kim , Bryce Fore , Alessandro Lovato , Morten Hjorth-Jensen

We present a predictive master spectrum describing turbulence-like flows in microfluidic systems. Extending Pao's viscous-range closure, the model introduces (i) an adaptive inertial-range slope dependent on measurable dimensionless numbers…

Fluid Dynamics · Physics 2025-12-16 Chit Yau Kuan , Xiaochen Liu , Yi-Ping Ho , Ken-Tye Yong

This is a study of the Euler equations for free surface water waves in the case of varying bathymetry, considering the problem in the shallow water scaling regime. In the case of rapidly varying periodic bottom boundaries this is a problem…

Analysis of PDEs · Mathematics 2016-01-20 Walter Craig , David Lannes , Catherine Sulem

Wavefront shaping can tailor multipath interference to control multiple scattering of waves in complex optical systems. However, full-wave simulations that capture multiple scattering are computationally demanding given the large system…

Optics · Physics 2024-06-14 Ho-Chun Lin , Zeyu Wang , Chia Wei Hsu

Resolvent analysis is used to study the low-frequency behaviour of the laminar oblique shock wave / boundary layer interaction (SWBLI). It is shown that the computed optimal gain, which can be seen as a transfer function of the system,…

Fluid Dynamics · Physics 2022-06-08 B. Bugeat , J. -C. Robinet , J. -C. Chassaing , P. Sagaut

Seismic velocity filtering is a critical technique in seismic exploration, designed to enhance the quality of effective signals by suppressing or eliminating interference waves. Traditional transform-domain methods, such as…

Geophysics · Physics 2025-04-29 Xiaobin Li , Qiaomu Qi , Le Li , Rubing Deng

Dynamic link prediction plays a crucial role in diverse applications including social network analysis, communication forecasting, and financial modeling. While recent Transformer-based approaches have demonstrated promising results in…

Machine Learning · Computer Science 2026-03-05 Hantong Feng , Yonggang Wu , Duxin Chen , Wenwu Yu

Optical communication systems, which operate at very high rates, are often limited by the sampling rate bottleneck. The optical wideband regime may exceed analog to digital converters (ADCs) front-end bandwidth. Multi-channel sampling…

Information Theory · Computer Science 2017-10-11 Omri Lev , Tal Wiener , Deborah Cohen , Yonina C. Eldar