This paper presents an efficient feature extraction method based on discrete wavelet transform for the classification of the power quality disturbances. Firstly, the decomposition coefficients are obtained by applying 10-level wavelet multi resolution analysis to the signals (normal, sag, swell, outage, harmonic, sag with harmonic and swell with harmonic) generated by using the parametric equat...

We introduce a solid harmonic wavelet scattering representation, which is invariant to rigid movements and stable to deformations, for regression and classification of 2D and 3D images. Solid harmonic wavelets are computed by multiplying solid harmonic functions with Gaussian windows dilated to different scales. Invariant scattering coefficients are obtained by cascading such wavelet transforms...

A variety of identities involving harmonic numbers and generalized harmonic numbers have been investigated since the distant past and involved in a wide range of diverse fields such as analysis of algorithms in computer science, various branches of number theory, elementary particle physics and theoretical physics. Here we show how one can obtain further interesting identities about certain fin...

In non-central heavy ion collisions, identical two particle Hanbury-Brown/Twiss (HBT) correlations C(K,q) depend on the azimuthal direction of the pair momentum K. We investigate the consequences for a harmonic analysis of the corresponding HBT radius parameters R ij . Our discussion includes both, a model-independent analysis of these parameters in the Gaussian approximation, and the study of ...

A novel mesh-free approach for solving differential equations based on Evolution Strategies (ESs) is presented. Any structure is assumed in the equations making the process general and suitable for linear and nonlinear ordinary and partial differential equations (ODEs, PDEs), as well as systems of ordinary differential equations (SODEs). Candidate solutions are expressed as partial sums of Four...

An algorithm for harmonic decomposition of time-variant signals is derived from a least squares harmonic (LSH) technique. The estimates of harmonic amplitudes and phases are formulated as the solution of a set of linear equations which minimizing mean square error; the signal frequency is modeled by a linear or quadratic polynomial and obtained via a local search over polynomial coefficients. A...

Plasmonic nanoantennas are efficient devices to concentrate light in spatial regions much smaller than the wavelength. Only recently, their ability to manipulate photons also on a femtosecond time scale has been harnessed. Nevertheless, designing the dynamical properties of optical antennas has been difficult since the relevant microscopic processes governing their ultrafast response have remai...

We introduce a solid harmonic wavelet scattering representation, invariant to rigid motion and stable to deformations, for regression and classification of 2D and 3D signals. Solid harmonic wavelets are computed by multiplying solid harmonic functions with Gaussian windows dilated at different scales. Invariant scattering coefficients are obtained by cascading such wavelet transforms with the c...

High harmonics driven by two-color counterrotating circularly polarized laser fields are a unique source of bright, circularly polarized, extreme ultraviolet, and soft x-ray beams, where the individual harmonics themselves are completely circularly polarized. Here, we demonstrate the ability to preferentially select either the right or left circularly polarized harmonics simply by adjusting the...

Introduction: Models of the interior structure of planets and their satellites rely heavily on the determination of their gravitational potential. In addition, the shapes of the bodies reveal important information about subsurface processes, such as relaxation to a gravitational equilibrium and, when combined with mean density, a quantification of departure from a homogeneous structure [1]. We ...