This study proposes a high-resolution processing technique for seismic data based on the improved synchrosqueezing transform (SST). The SST rearranges complex spectrum of wavelet along frequency axis. However, energy is not concentrated in position with faster change rate. To overcome these problems, proposed method first transformed signal into an analytical one via Hilbert transformation and ...

In the field of nonstationary signal analysis and processing, short-time Fourier transform (STFT) is frequently used to convert signals into time-frequency domain. The instantaneous frequency (IF) STFT defined as time derivative phase plays an important role in reassignment method synchrosqueezing (SST). this paper, we propose a framework design window function for computing IF STFT. Computing ...

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...

The modulated oscillation model provides physically meaningful representations of timevarying harmonic processes, and has been instrumental in the development of modern time-frequency algorithms, such as the synchrosqueezing transform. We here extend this concept to multivariate signals, in order to identify oscillations common to multiple data channels. This is achieved by introducing a multiv...

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 recovery of the signal. This article presents an overview of the theory and stability properties of Synchrosqueezing, as well as applications of the techniq...

Despite the population of the noninvasive, economic, comfortable, and easy-to-install photoplethysmography (PPG) sensor, a mathematically rigorous and stable algorithm to simultaneously extract the fundamental physiological information, including the instantaneous heart rate (IHR) and the instantaneous respiratory rate (IRR), from the single-channel PPG signal is lacking. A novel signal process...

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, andWu [Appl. Comput. Harmonic Anal., 30 (2010), pp. 243–261] and consider a variant of Synchrosqueezing, based on the short-time Fourier transform, to precisely define the instantaneous frequencies of a multicomponent AM-FM signal. W...

In many applications, it is necessary to retrieve the sub-signal building blocks of a multi-component signal, which usually non-stationary in real-world and real-life applications. Empirical mode decomposition (EMD), synchrosqueezing transform (SST), signal separation operation (SSO), iterative filtering (IFD) have been proposed developed for this purpose. However, these computational methods a...