Nonstationary signal analysis is one of the main topics in the field of machinery fault
diagnosis. Time–frequency analysis can identify the signal frequency components, reveals …

Cardiovascular diseases currently pose the highest threat to human health around the
world. Proper investigation of the abnormalities in heart sounds is known to provide vital …

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 …

We discuss the basic ideas and motivations of time-frequency analysis from the point of view
of what is known, what is not, what is mathematically possible, and what is not. We address …

A simple, nonrigorous, synthetic view of wavelet theory is presented for both review and
tutorial purposes. The discussion includes nonstationary signal analysis, scale versus …

In this paper, the use of the reassignment method, first applied by Kodera, Gendrin, and de
Villedary (1976) to the spectrogram, is generalized to any bilinear time-frequency or time …

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 pandemic caused by COVID-19 has changed the mindset of many consumers. They are
increasingly aware of the risks of not caring for the planet. Before the pandemic, there was a …

It has been well understood that a given signal can be represented in an infinite number of
different ways. Different signal representations can be used for different applications. For …

We consider a multidimensional parameter space formed by inner products of a
parameterizable family of chirp functions with a signal under analysis. We propose the use …