In this contribution, we extend the reassignment method (RM) and synchrosqueezing transform (SST) to arbitrary time-frequency localized lters and, in the rst case, arbitrary downsampling factors. A su cient condition for the invertibility of the SST is provided. RM and SST are techniques for deconvolution of shorttime Fourier and wavelet representations. In both methods, the partial phase deriv...

The extraction of oscillatory components and their properties from different time-frequency representations, such as windowed Fourier transform and wavelet transform, is an important topic in signal processing. The first step in this procedure is to find an appropriate ridge curve: a sequence of amplitude peak positions (ridge points), corresponding to the component of interest. This is not a t...

Wind turbines usually operate under nonstationary conditions, such as wide-range speed fluctuation and time-varying load. Its critical component, the planetary gearbox, is prone to malfunction or failure, which leads to downtime and repair costs. Therefore, fault diagnosis and condition monitoring for the planetary gearbox in wind turbines is a vital research topic. Meanwhile, the signals measu...

In nature and engineering world, the acquired signals are usually affected by multiple complicated factors appear as multicomponent nonstationary modes. such many other situations, it is necessary to separate these into a finite number of monocomponents represent intrinsic modes underlying dynamics implicated in source signals. this paper, we consider mode retrieval signal which has crossing in...

A wealth of information about respiratory system is encoded in the airflow signal. While direct measurement via spirometer with an occlusive seal gold standard, this may not be practical for ambulatory monitoring patients. Advances sensor technology have made motion thorax and abdomen feasible small inexpensive devices, but estimating from these time series challenging due to presence complicat...

The increase in the complexity of modern electronic products has brought significant challenges to fault diagnosis circuits, and current methods have problems such as long identification time, inaccurate positioning, low diagnostic efficiency. In response these situations. This paper proposes a method for circuits combining synchronous synchrosqueezing wavelet transform (SWT), deep convolutiona...

The gearbox is one of the key components in wind turbines. Gearbox fault signals are usually nonstationary and highly contaminated with noise. The presence of amplitude-modulated and frequency-modulated (AM-FM) characteristics compound the difficulty of precise fault diagnosis of wind turbines, therefore, it is crucial to develop an effective fault diagnosis method for such equipment. This pape...

Recently, the study of near- and below- threshold regime harmonics as a potential source of intense coherent vacuum-ultraviolet radiation has received considerable attention. However, the dynamical origin of these lower harmonics, particularly for the molecular systems, is less understood and largely unexplored. Here we perform the first fully ab initio and high precision 3D quantum study of th...

The empirical mode decomposition (EMD) is a powerful tool for non-stationary signal analysis. It has been used successfully for sound and vibration signals separation and time-frequency representation. Linear time-frequency analysis (TFA) is another powerful tool for non-stationary signal. Linear TFAs, e.g. short-time Fourier transform (STFT) and wavelet transform (WT), depend linearly upon the...

Near- and below-threshold harmonic generation provides a potential approach to generate vacuum-ultraviolet frequency comb. However, the dynamical origin of in these lower harmonics is less understood and largely unexplored. Here we perform an ab initio quantum study of the near- and below-threshold harmonic generation of caesium (Cs) atoms in an intense 3,600-nm mid-infrared laser field. Combin...