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The continuous wavelet transform (CWT) is a linear time-frequency representation and a powerful tool for analyzing non-stationary signals. The synchrosqueezing transform (SST) is a special type of the reassignment method which not only…

信号处理 · 电气工程与系统科学 2019-09-27 Lin Li , Haiyan Cai , Qingtang Jiang

An exact and general expression for the analytic wavelet transform of a real-valued signal is constructed, resolving the time-dependent effects of non-negligible amplitude and frequency modulation. The analytic signal is first locally…

统计理论 · 数学 2011-10-18 Jonathan M. Lilly , Sofia C. Olhede

In recent years, the continuous wavelet transform (CWT) has been employed as a spectral feature extractor for acoustic recognition tasks in conjunction with machine learning and deep learning models. However, applying the CWT to each…

音频与语音处理 · 电气工程与系统科学 2025-12-01 Dang Thoai Phan

The analysis of gravitational-wave (GW) signals is one of the most challenging application areas of signal processing. Wavelet transforms are specially helpful in detecting and analyzing GW transients and several analysis pipelines are…

广义相对论与量子宇宙学 · 物理学 2024-05-27 Andrea Virtuoso , Edoardo Milotti

Power measurement algorithms based on Fourier transform are susceptible to errors caused by interharmonics, while wavelet transform algorithms are particularly sensitive to even harmonics due to band decomposition effects. The empirical…

信号处理 · 电气工程与系统科学 2025-02-17 Jian Liu , Wei Zhao , Shisong Li

Continuous wavelet transform (CWT) based time-scale and multi-fractal analyses have been carried out on the anode glow related nonlinear floating potential fluctuations in a hollow cathode glow discharge plasma. CWT has been used to obtain…

等离子体物理 · 物理学 2010-03-17 Md. Nurujjaman , Ramesh Narayanan , A. N. Sekar Iyengar

A manual measurement of blood vessels diameter is a conventional component of routine visual assessment of microcirculation, say, during optical capillaroscopy. However, many modern optical methods for blood flow measurements demand the…

定量方法 · 定量生物学 2017-04-21 Eugene B. Postnikov , Maria O. Tsoy , Maxim A. Kurochkin , Dmitry E. Postnov

The wavelet transform and related techniques are used to analyze singular and fractal signals. The normalized wavelet scalogram is introduced to detect singularities including jumps, cusps and other sharply changing points. The wavelet…

信号处理 · 电气工程与系统科学 2021-11-04 Hua-Liang Wei , S. A. Billings

The Continuous Wavelet Transform (CWT) is an effective tool for feature extraction in acoustic recognition using Convolutional Neural Networks (CNNs), particularly when applied to non-stationary audio. However, its high computational cost…

音频与语音处理 · 电气工程与系统科学 2025-12-01 Dang Thoai Phan , Tuan Anh Huynh , Van Tuan Pham , Cao Minh Tran , Van Thuan Mai , Ngoc Quy Tran

In this work, we propose a new detector function based on wavelet transform to discriminate between turbulent and non-turbulent regions in an intermittent velocity signal. The derivative-based detector function, which is commonly used in…

流体动力学 · 物理学 2023-01-02 Satyajit De , Aditya Anand , Sourabh S. Diwan

Despite the broad application of the analytic wavelet transform (AWT), a systematic statistical characterization of its magnitude and phase as inhomogeneous random fields on the time-frequency domain when the input is a random process…

统计理论 · 数学 2025-12-23 Gi-Ren Liu , Yuan-Chung Sheu , Hau-Tieng Wu

Implicit neural representations have recently demonstrated promising potential in arbitrary-scale Super-Resolution (SR) of images. Most existing methods predict the pixel in the SR image based on the queried coordinate and ensemble nearby…

计算机视觉与模式识别 · 计算机科学 2024-11-12 Minghong Duan , Linhao Qu , Shaolei Liu , Manning Wang

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

We obtain a characterization of all wavelets leading to analytic wavelet transforms (WT). The characterization is obtained as a by-product of the theoretical foundations of a new method for wavelet phase reconstruction from magnitude-only…

数值分析 · 数学 2024-09-23 Nicki Holighaus , Günther Koliander , Zdenĕk Průša , Luis Daniel Abreu

This paper reviews two different uses of the continuous wavelet transform for modal identification purposes. The properties of the wavelet transform, mainly energetic, allow to emphasize or filter the main information within measured…

数据分析、统计与概率 · 物理学 2016-09-08 Pierre Argoul , Silvano Erlicher

Uninterruptible power supply is the main motive of power utility companies that motivate them for identifying and locating the different types of faults as quickly as possible to protect the power system prevent complete power black outs…

系统与控制 · 计算机科学 2016-09-29 P. K. Ray , B. K. Panigrahi , P. K. Rout , A. Mohanty , H. Dubey

This work presents a purely data-driven, wavelet-based framework for modal identification and reduced-order modeling of mechanical systems with assumed linear dynamics characterized by closely spaced modes with classical or non-classical…

信号处理 · 电气工程与系统科学 2025-10-28 Anargyros Michaloliakos , Benjamin J. Chang , Lawrence A. Bergman , Alexander F. Vakakis

In the realm of signal processing, frequency and spectrum detection are fundamental tasks that can be computationally intensive. This project leverages the power of FPGAs to perform wavelet analysis on an input signal. The goal is to detect…

硬件体系结构 · 计算机科学 2024-12-31 Caleb Hill , Darshika G. Perera

Insider threat detection is a key challenge in enterprise security, relying on user activity logs that capture rich and complex behavioral patterns. These logs are often multi-channel, non-stationary, and anomalies are rare, making anomaly…

机器学习 · 计算机科学 2026-01-21 Kaichuan Kong , Dongjie Liu , Xiaobo Jin , Shijie Xu , Guanggang Geng

The concept of a common modulated oscillation spanning multiple time series is formalized, a method for the recovery of such a signal from potentially noisy observations is proposed, and the time-varying bias properties of the recovery…

统计方法学 · 统计学 2015-05-27 Jonathan M. Lilly , Sofia C. Olhede
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