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This paper describes a method for extracting rapidly varying, superimposed amplitude- and frequency-modulated signal components. The method is based upon the continuous wavelet transform (CWT) and uses a new wavelet which is a modification…

数学物理 · 物理学 2009-11-07 J. D. Harrop , S. N. Taraskin , S. R. Elliott

Near-field magnetic resonance wireless power transfer (WPT) technology has garnered significant attention due to its broad application prospects in medical implants, electric vehicles, and robotics. Addressing the challenges faced by…

应用物理 · 物理学 2025-05-13 Likai Wang , Yuqian Wang , Shengyu Hu , Yunhui Li , Hong Chen , Ce Wang , Zhiwei Guo

Intrinsic wavelet transforms and wavelet estimation methods are introduced for curves in the non-Euclidean space of Hermitian positive definite matrices, with in mind the application to Fourier spectral estimation of multivariate stationary…

统计方法学 · 统计学 2019-11-12 Joris Chau , Rainer von Sachs

Dense pixelwise prediction such as semantic segmentation is an up-to-date challenge for deep convolutional neural networks (CNNs). Many state-of-the-art approaches either tackle the loss of high-resolution information due to pooling in the…

计算机视觉与模式识别 · 计算机科学 2018-08-07 Lingni Ma , Jörg Stückler , Tao Wu , Daniel Cremers

Spatial frequency analysis and transforms serve a central role in most engineered image and video lossy codecs, but are rarely employed in neural network (NN)-based approaches. We propose a novel NN-based image coding framework that…

图像与视频处理 · 电气工程与系统科学 2023-01-04 Hyomin Choi , Fabien Racape , Shahab Hamidi-Rad , Mateen Ulhaq , Simon Feltman

The scattering transform is a wavelet-based model of Convolutional Neural Networks originally introduced by S. Mallat. Mallat's analysis shows that this network has desirable stability and invariance guarantees and therefore helps explain…

信号处理 · 电气工程与系统科学 2021-10-12 Michael Perlmutter , Jieqian He , Mark Iwen , Matthew Hirn

The continuous wavelet transform (CWT) is very useful for processing signals with intricate and irregular structures in astrophysics and cosmology. It is crucial to propose precise and fast algorithms for the CWT. In this work, we review…

天体物理仪器与方法 · 物理学 2024-08-28 Yun Wang , Ping He

Windowing a Fourier transform is a useful tool, which gives us the similarity between the signal and time frequency signal, and it allows to get sense when/where ceratin frequencies occur in the input signal, this method is introduced by…

经典分析与常微分方程 · 数学 2019-01-07 Mohammed El Kassimi , Mustapha Boujeddaine , Said Fahlaoui

The Wigner Transform (WT) has been extensively used in the formulation of phase-space models for a variety of wave propagation problems including high-frequency limits, nonlinear and random waves. It is well known that the WT features…

偏微分方程分析 · 数学 2015-05-19 Agissilaos G. Athanassoulis

Focusing microcavities for surface acoustic waves (SAWs) produce highly localized strain and piezoelectric fields that can dynamically control excitations in nanostructures. Focusing transducers (FIDTs) that generate SAW beams which match…

应用物理 · 物理学 2020-01-29 Madeleine E. Msall , Paulo V. Santos

Tabular learning transforms raw features into optimized spaces for downstream tasks, but its effectiveness deteriorates under distribution shifts between training and testing data. We formalize this challenge as the Distribution Shift…

The nonuniform discrete Fourier transform (NUDFT) and its inverse are widely used in various fields of scientific computing. In this article, we propose a novel superfast direct inversion method for type-III NUDFT. The proposed method…

数值分析 · 数学 2025-12-04 Yingzhou Li , Jingyu Liu

Photonic-chip based TIRF illumination has been used to demonstrate several on-chip optical nanoscopy methods. The sample is illuminated by the evanescent field generated by the electromagnetic wave modes guided inside the optical waveguide.…

The results obtained by analyzing signals with the Square Wave Method (SWM) introduced previously can be presented in the frequency domain clearly and precisely by using the Square Wave Transform (SWT) described here. As an example, the SWT…

数值分析 · 计算机科学 2015-11-13 Osvaldo Skliar , Ricardo E. Monge , Guillermo Oviedo , Sherry Gapper

This paper is concerned with the inverse problem of recovering the unknown signal components, along with extraction of their instantaneous frequencies (IFs), governed by the adaptive harmonic model (AHM), from discrete (and possibly…

机器学习 · 计算机科学 2020-02-03 Charles K. Chui , Ningning Han , Hrushikesh N. Mhaskar

For the multi-resolution of wavelet transform, it used to filter the complex gamma Spectrum, the fluctuation is filtered, while the detector resolution is still kept well, which has been demonstrated as a new, promising technique for gamma…

数据分析、统计与概率 · 物理学 2013-09-16 Zhang Jinzhao , Tuo Xianguo

The wavelet scattering transform creates geometric invariants and deformation stability. In multiple signal domains, it has been shown to yield more discriminative representations compared to other non-learned representations and to…

We consider an inverse problem for a Westervelt type nonlinear wave equation with fractional damping. This equation arises in nonlinear acoustic imaging, and we show the forward problem is locally well-posed. We prove that the smooth…

偏微分方程分析 · 数学 2023-08-01 Li Li , Yang Zhang

The normalized subband adaptive filter (NSAF) is widely accepted as a preeminent adaptive filtering algorithm because of its efficiency under the colored excitation. However, the convergence rate of NSAF is slow. To address this drawback,…

信息论 · 计算机科学 2017-03-20 Lu Lu , Haiquan Zhao

This paper is concerned with uniqueness in inverse acoustic scattering with phaseless far-field data at a fixed frequency. The main difficulty of this problem is the so-called translation invariance property of the modulus of the far-field…

偏微分方程分析 · 数学 2017-09-26 Xiaoxu Xu , Bo Zhang , Haiwen Zhang