We propose the Fourier-domain transfer entropy spectrum, a generalization of entropy, as model-free metric causality. For arbitrary systems, this approach systematically quantifies causality among their different system components rather than merely analyzing systems entireties. The generated spectrum offers rich-information representation time-varying latent causal relations, efficiently deali...

BACKGROUND Representation of independent biophysical sources using Fourier analysis can be inefficient because the basis is sinusoidal and general. When complex fractionated atrial electrograms (CFAE) are acquired during atrial fibrillation (AF), the electrogram morphology depends on the mix of distinct nonsinusoidal generators. Identification of these generators using efficient methods of repr...

Most existing automatic chord recognition systems use a chromagram in front-end processing and some sort of classifier (e.g., hidden Markov model, Gaussian mixture model (GMM), support vector machine, or other template matching technique). The vast majority of front-end algorithms derive acoustic features based on a standard short-time Fourier analysis and on mapping energy from the power spect...

The wavelet transform theory is used to motor fault diagnosis in this paper, considering its characteristics of multi-resolution and stronger feature extraction ability than Fourier. The paper emphasizes de-noising and eliminating the singular value point of the wavelet transform in the nonstationary signal. And it makes a detailed and in-depth analysis about how to detect the frequency compone...

Typically, the power spectrum of a speech frame used in speech recognition is estimated for a fixed length window using the fast Fourier transform. Each frequency component represented in this power spectrum is an estimate over that speech frame. The power spectrum calculated in this way hms a constant time and frequency resolution. An example: of this type of front-end is the LPC-derived cepst...

In this paper a local Radon representation is proposed and applied to 3-D seismic data analysis. The derivation of the local Radon power spectrum is based on an extension of the relation between the global Radon transform and multi-dimensional Fourier transform to the non-stationary case. This Wigner-Radon power spectrum is closely related to the Cohen’s class of quadratic timefrequency represe...

The appearance of peaks in the Fourier power spectra of various primordial fluctuations is a generic prediction of the inflationary scenario. We investigate whether future experiments, in particular the satellite experiment PLANCK, will be able to detect the possible appearance of these peaks in the Bmode polarization multipole power spectrum. This would yield a conclusive proof of the presence...