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The synchrosqueezing transform, a kind of reassignment method, aims to sharpen the time-frequency representation and to separate the components of a multicomponent non-stationary signal. In this paper, we consider the short-time Fourier…

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

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

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

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

Spectral interference, the frequency counterpart of the beating phenomenon in the time domain, can severely distort time-frequency representations (TFRs) in physical applications. We study this phenomenon for the short-time Fourier…

经典分析与常微分方程 · 数学 2026-01-19 Shrikant Chand , James Nolen , Hau-Tieng Wu

The synchrosqueezing transform (SST) has been developed as a powerful EMD-like tool for instantaneous frequency (IF) estimation and component separation of non-stationary multicomponent signals. Recently, a direct method of the…

数值分析 · 数学 2020-10-22 Charles K. Chui , Qingtang Jiang , Lin Li , Jian Lu

We propose a bootstrapping framework to quantify uncertainty in time-frequency representations (TFRs) generated by the short-time Fourier transform (STFT) and the STFT-based synchrosqueezing transform (SST) for oscillatory signals with…

统计方法学 · 统计学 2026-01-28 Hau-Tieng Wu , Zhou Zhou

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

An adaptive time-frequency representation (TFR) with higher energy concentration usually requires higher complexity. Recently, a low-complexity adaptive short-time Fourier transform (ASTFT) based on the chirp rate has been proposed. To…

信息论 · 计算机科学 2017-05-26 Soo-Chang Pei , Shih-Gu Huang

This paper presents a gradient-based method for on-the-fly optimization for both per-frame and per-frequency window length of the short-time Fourier transform (STFT), related to previous work in which we developed a differentiable version…

信号处理 · 电气工程与系统科学 2023-08-07 Maxime Leiber , Yosra Marnissi , Axel Barrau , Mohammed El Badaoui

The short-time Fourier transform (STFT) is widely used for analyzing non-stationary signals. However, its performance is highly sensitive to its parameters, and manual or heuristic tuning often yields suboptimal results. To overcome this…

声音 · 计算机科学 2025-06-27 Maxime Leiber , Yosra Marnissi , Axel Barrau , Sylvain Meignen , Laurent Massoulié

Short-time Fourier transform (STFT) is the most common window-based approach for analyzing the spectrotemporal dynamics of time series. To mitigate the effects of high variance on the spectral estimates due to finite-length, independent…

应用统计 · 统计学 2022-01-19 Andrew H. Song , Seong-Eun Kim , Emery N. Brown

The short-time Fourier transform (STFT) usually computes the same number of frequency components as the frame length while overlapping adjacent time frames by more than half. As a result, the number of components of a spectrogram matrix…

信号处理 · 电气工程与系统科学 2020-10-29 Daichi Kitahara

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 study the real-time dynamics retrieval from a time series via the time-frequency (TF) analysis with the minimal latency guarantee. While different from the well-known intrinsic latency definition in the filter design, a rigorous…

多媒体 · 计算机科学 2016-06-30 Li Su , Hau-tieng Wu

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

Time-frequency representations (TFRs) of signals, such as the windowed Fourier transform (WFT), wavelet transform (WT) and their synchrosqueezed variants (SWFT, SWT), provide powerful analysis tools. However, there are many important issues…

数值分析 · 数学 2014-05-27 Dmytro Iatsenko , Peter V. E. McClintock , Aneta Stefanovska

Recently the synchrosqueezed transform (SST) was developed as an empirical mode decomposition (EMD)-like tool to enhance the time-frequency resolution and energy concentration of a multi-component non-stationary signal and provides more…

数值分析 · 数学 2020-12-29 Charles K. Chui , Qingtang Jiang , Lin Li , Jian Lu

Most speech enhancement algorithms make use of the short-time Fourier transform (STFT), which is a simple and flexible time-frequency decomposition that estimates the short-time spectrum of a signal. However, the duration of short STFT…

声音 · 计算机科学 2015-09-03 Scott Wisdom , Thomas Powers , Les Atlas , James Pitton

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
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