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The Synchrosqueezing transform is a time-frequency analysis method that can decompose complex signals into time-varying oscillatory components. It is a form of time-frequency reassignment that is both sparse and invertible, allowing for the…

计算工程、金融与科学 · 计算机科学 2014-05-01 Gaurav Thakur

Synchrosqueezed transforms are non-linear processes for a sharpened time-frequency representation of wave-like components. They are efficient tools for identifying and analyzing wave-like components from their superposition. This paper is…

统计理论 · 数学 2016-08-10 Haizhao Yang

Seismic attributes calculated by conventional methods are susceptible to noise. Conventional filtering reduces the noise in the cost of losing the spectral bandwidth. The challenge of having a high-resolution and robust signal processing…

地球物理 · 物理学 2020-12-02 M. Kazemnia Kakhki , W. J. Mansur , K. Aghazadeh

The synchrosqueezing transform (SST) was developed recently to separate the components of non-stationary multicomponent signals. The continuous wavelet transform-based SST (WSST) reassigns the scale variable of the continuous wavelet…

信号处理 · 电气工程与系统科学 2020-08-26 Jian Lu , Qingtang Jiang , Lin Li

Resonance frequencies can provide useful information on the deformation occurring during fracturing experiments or $CO_2$ management, complementary to the microseismic event distribution. An accurate time-frequency representation is of…

地球物理 · 物理学 2013-01-08 Roberto H. Herrera , Jean-Baptiste Tary , Mirko van der Baan

We provide a statistical analysis of a tool in nonlinear-type time-frequency analysis, the synchrosqueezing transform (SST), for both the null and non-null cases. The intricate nonlinear interaction of different quantities in SST is…

统计理论 · 数学 2023-09-06 Matt Sourisseau , Hau-Tieng Wu , Zhou Zhou

Robust online estimation of oscillation frequency belongs to classical problems of system identification and adaptive control. The given harmonic signal can be noisy and with varying amplitude at the same time, as in the case of damped…

系统与控制 · 电气工程与系统科学 2022-01-26 Michael Ruderman

High-resolution time-frequency (TF) analysis plays crucial role in characterizing multicomponent signal (MCSs) and estimating oscillatory properties. Linear time-frequency representations (TFRs) such as classical short-time Fourier…

信号处理 · 电气工程与系统科学 2023-12-12 Rayyan Abdalla

A new algorithm for estimating the time-varying frequency of a noiseless sinusoidal signal is considered. It is assumed that the amplitude and frequency of the sinusoidal signal are unknown functions of time, but are solutions of linear…

动力系统 · 数学 2021-10-13 A. A. Bobtsov , N. A. Nikolaev , O. V. Oskina , S. I. Nizovtsev

Synchrosqueezing transform (SST) is a useful tool for vibration signal analysis due to its high time-frequency (TF) concentration and reconstruction properties. However, existing SST requires much processing time for large-scale data. In…

信号处理 · 电气工程与系统科学 2020-03-17 Dong He , Hongrui Cao

We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu and Wu and consider a variant of Synchrosqueezing, based on the short-time…

数值分析 · 数学 2012-01-17 Gaurav Thakur , Hau-Tieng Wu

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

信号处理 · 电气工程与系统科学 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

Recent work in time-frequency analysis proposed to switch the focus from the maxima of the spectrogram toward its zeros, which, for signals corrupted by Gaussian noise, form a random point pattern with a very stable structure leveraged by…

信号处理 · 电气工程与系统科学 2023-02-07 Barbara Pascal , Rémi Bardenet

In recent years, the synchrosqueezing transform (SST) has gained popularity as a method for the analysis of signals that can be broken down into multiple components determined by instantaneous amplitudes and phases. One such version of SST,…

数值分析 · 数学 2017-09-20 Alexander Berrian , Naoki Saito

In this paper, we consider multiple signals sharing same instantaneous frequencies. This kind of data is very common in scientific and engineering problems. To take advantage of this special structure, we modify our data-driven…

信息论 · 计算机科学 2015-07-09 Thomas Y. Hou , Zuoqiang Shi

In view of the current availability and variety of measured data, there is an increasing demand for powerful signal processing tools that can cope successfully with the associated problems that often arise when data are being analysed. In…

数据分析、统计与概率 · 物理学 2014-12-16 Tomislav Stankovski , Andrea Duggento , Peter V. E. McClintock , Aneta Stefanovska

Assessment of voice signals has long been performed with the assumption of periodicity as this facilitates analysis. Near periodicity of normal voice signals makes short-time harmonic modeling an appealing choice to extract vocal feature…

音频与语音处理 · 电气工程与系统科学 2022-02-10 Takeshi Ikuma , Andrew J. McWhorter , Lacey Adkins , Melda Kunduk

Recently the study of modeling a non-stationary signal as a superposition of amplitude and frequency-modulated Fourier-like oscillatory modes has been a very active research area. The synchrosqueezing transform (SST) is a powerful method…

数值分析 · 数学 2018-12-31 Haiyan Cai , Qingtang Jiang , Lin Li , Bruce W. Suter

The apparent stability of population oscillations in ecological systems is a long-standing puzzle. A generic solution for this problem is suggested here. The stabilizing mechanism involves the combined effect of spatial migration,…

种群与进化 · 定量生物学 2007-05-23 Refael Abta , Marcelo Schiffer , Avishag Ben-Ishay , Nadav M. Shnerb

We apply the recently developed adaptive non-harmonic model based on the wave-shape function, as well as the time-frequency analysis tool called synchrosqueezing transform (SST) to model and analyze oscillatory physiological signals. To…

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