This paper is a tutorial on Hilbert transform applications to mechanical vibration. The
approach is accessible to non-stationary and nonlinear vibration application in the time …

Neural oscillations are important features in a working central nervous system, facilitating
efficient communication across large networks of neurons. They are implicated in a diverse …

In this paper, a new method for detecting the presence of broken rotor bars is presented. The
proposed approach is valid for induction machines started at constant frequency and …

This chapter provides a response to the multifaceted question on the application of time–
frequency (TF): Which technique does one use and why? How does one use and implement …

This chapter addresses some of the main issues concerning time–frequency distributions
and in particular positive distributions. It discusses how the positive distributions are …

The diagnosis of induction machines through the use of methods based on the study of the
startup current has become an issue of special interest. These techniques may provide, in …

In experimental synchronization studies a continuous phase variable is commonly estimated
from a scalar time series by means of its representation on the complex plane. The aim is to …

The phase-locking value (PLV) is an important measure of synchronization when studying
biosignals and especially electrical brain activities. Because the physical interpretation of …

A multiwindow method for generating a time-varying spectrum of nonstationary signals is
presented The time-varying spectrum is computed from an optimally weighted average of …

Cohen (1989, 1995) has introduced and extensively studied and developed the concept of
the instantaneous bandwidth of a signal. Specifically, instantaneous bandwidth is …