In this paper, we propose a novel time-frequency distribution (TFD) for the analysis of multi-component signals. In particular, we use synthetic as well as real-life speech signals to prove the superiority of the proposed TFD in comparison to some existing ones. In the comparison, we consider the cross-terms suppression and the high energy concentration of the signal around its instantaneous fr...

In this paper, the concept of instantaneous parameters, which has previously been associated exclusively with 1-D measures like the instantaneous frequency and the group delay, are extended to the 2-D time-frequency plane. Such generalized instantaneous parameters are associated with the shorttime Fourier transform. They may also be interpreted as local moments of certain time-frequency distrib...

Stochastic calculus methods are used to estimate the instantaneous frequency of a signal. The frequency is modeled as a polynomial in time. It is assumed that the phase has a Brownian-motion component. Using stochastic calculus, one is able to develop a stochastic differential equation that relates the observations to instantaneous frequency. Pseudo-maximum likelihood estimates are obtained thr...

In the past, when patients were taking computed tomography (CT) scan, the physician usually monitored the patients on-site as a passive way; however, the entire physiological conditions of the patients couldn’t be fully comprehended this way. According to many clinical reports, the heart rates of the patients under tomography may fluctuate because of the injection of contrast medium. A standard...

S U M M A R Y We infer shear attenuation in the lower mantle by using the method of instantaneous frequency matching to calculate differential t∗ between core-reflected ScS and direct S (δt∗ScS−S). The instantaneous frequency at the envelope peak of a seismic phase is related to the average Fourier spectral frequency of that phase. To estimate δt∗ScS−S for a given trace, we first calculate the ...

The aim of this paper is to present a new method for the estimation of the instantaneous frequency of a frequency modulated signal, corrupted by additive noise. Any time-frequency representation of an acquired signal is concentrated around the instantaneous frequency law of its useful component (the projection of the ridges of the time-frequency representation on the time-frequency plane) and r...