In this paper a review on harmonic wavelets and their fractional generalization, within the
local fractional calculus, will be discussed. The main properties of harmonic wavelets and …

In this paper, we apply the Shannon wavelet basis functions to the method of moments to
evaluate the radar cross section (RCS) of the conducting and resistive surfaces. The …

Periodic harmonic wavelets (PHW) were applied as basis functions in solution of the
Fredholm integral equations of the second kind. Two equations were solved in order to find …

Wavelets 1 are localized functions which are a very useful tool in many different
applications: signal analysis, data compression, operator analysis, and PDE solving see, eg …

In this paper, harmonic wavelets, which are analytically defined and band limited, are
studied, together with their differentiable properties. Harmonic wavelets were recently …

A filter construction technique is presented for enhanced defect identification in rotary
machine systems. Based on the generalized harmonic wavelet transform, a series of sub …

An analytical approach based on generalized harmonic wavelets (GHWs) for determining
the response evolutionary power spectral density (PSD) of single-degree-of-freedom linear …

Harmonic Wavelet Solutions of the Schrödinger Equation Page 1 International Journal of
Fluid Mechanics Research, Vol. 30, No. 5, 2003 Harmonic Wavelet Solutions of the …

The analysis of a periodic signal with localized random (or high frequency) noise is given by
using harmonic wavelets. Since they are orthogonal to the Fourier basis, by defining a …

Shannon wavelets are used to define a method for the solution of integrodifferential
equations. This method is based on 1 the Galerking method, 2 the Shannon wavelet …