In this paper, our goal is first to investigate the behavior of reassignment operators used in synchrosqueezing transforms applied multicomponent signals made superposition amplitude and frequency modulated modes. Indeed, while these are associated with instantaneous estimators very accurate on specific types modes, quality former worsens drastically when modes depart from ideal case they desig...

OBJECTIVE While extracting the temporal dynamical features based on the time-frequency analyses, like the reassignment and synchrosqueezing transform, attracts more and more interest in biomedical data analysis, we should be careful about artifacts generated by interpolation schemes, in particular when the sampling rate is not significantly higher than the frequency of the oscillatory component...

This paper introduces the synchrosqueezed curvelet transform as an optimal tool for two-dimensional mode decomposition of wavefronts or banded wave-like components. The synchrosqueezed curvelet transform consists of a generalized curvelet transform with application dependent geometric scaling parameters, and a synchrosqueezing technique for a sharpened phase space representation. In the case of...

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...

In this paper, our goal is to compare different recent time-frequency (TF) approaches retrieve the modes of multicomponent signals (MCSs). While it acknowledged that synchrosqueezing transform (SST) improves readability representation (TFR) MCSs, and SST-based demodulation (DSST) more efficient than SST itself for mode retrieval (MR), unclear whether DSST outperforms downsampled short-time Four...