The availability of time series of the evolution of the properties of physical systems is
increasing, stimulating the development of many novel methods for the extraction of …

This article provides a general overview of time-frequency (TF) reassignment and
synchrosqueezing techniques applied to multicomponent signals, covering the theoretical …

Abstract Due to the Heisenberg–Gabor uncertainty principle, finite oscillation transients are
difficult to localize simultaneously in both time and frequency. Classical estimators, like the …

Parametrized time-frequency analysis (PTFA) can effectively improve time-frequency energy
aggregation of non-stationary signal and immunity of cross term interference, but it exists the …

This paper puts forward a generalization of the short-time Fourier-based synchrosqueezing
transform using a new local estimate of instantaneous frequency. Such a technique enables …

This paper considers the analysis of multicomponent signals, defined as superpositions of
real or complex modulated waves. It introduces two new post-transformations for the short …

This second edition of The Illustrated Wavelet Transform Handbook: Introductory Theory and
Applications in Science, Engineering, Medicine and Finance has been fully updated and …

We analyze the stability properties of the Synchrosqueezing transform, a time-frequency
signal analysis method that can identify and extract oscillatory components with time-varying …

The wavelet transform has emerged over recent years as a powerful time–frequency
analysis and signal coding tool favoured for the interrogation of complex nonstationary …

Instantaneous angular frequency (IAF) is an inherent characteristic associated with
mechanical dynamics and contains adequate diagnostic information about rotating …