Signal Analysis Using Fourier-like Wavelets

Abstract

In continuous-time wavelet analysis, most wavelet presents some kind of symmetry. Based on the Fourier and Hartley transform kernels, a new wavelet multiresolution analysis has been proposed. This approach is based on a pair of orthogonal wavelet functions and can be named as the Fourier-like and Hartley-like wavelet analysis. In this paper we carry a preliminary investigation about potentials applications for the Fourier-like wavelet analysis on signals derived from power systems to illustrate the behavior of such wavelets