Optical Fiber Coupler Analysis Using Daubechies Wavelets

Pulse Propagation in Optical Fiber Using Wavelets

The propagation of optical pulses in a single mode fiber is analyzed by solving nonlinear Schrödinger (NLS) equation numerically. The propagation is modeled using a split-step wavelet method, analogous to the split-step Fourier method, while retaining the advantages of the wavelet transform. Pulses and pulse sequences are accommodated with equal ease, as is frequency chirping of the light sourc...

Using Daubechies ' Wavelets and Color Histograms ?

This paper describes WIPETM (Wavelet Image Pornography Elimination), an algorithm capable of classifying an image as objectionable or benign. The algorithm uses a combination of Daubechies' wavelets, normalized central moments, and color histograms to provide semantically-meaningful feature vector matching so that comparisons between the query image and images in a pre-marked training set can b...

Generalized biorthogonal Daubechies wavelets

We propose a generalization of the Cohen-Daubechies-Feauveau (CDF) and 9/7 biorthogonal wavelet families. This is done within the framework of non-stationary multiresolution analysis, which involves a sequence of embedded approximation spaces generated by scaling functions that are not necessarily dilates of one another. We consider a dual pair of such multiresolutions, where the scaling functi...

Complex Daubechies Wavelets : Filters Design

The rst part of this work describes the full set of Daubechies Wavelets with a particular emphasis on symmetric (and complex) orthonormal bases. Some properties of the associated complex scaling functions are presented in a second part. The third and last part describes a multiscale image enhancement algorithm using the phase of the complex multiresolution representation of the 2 dimension sign...

Vibration Analysis of an Optical Fiber Coupler Using the Differential Quadrature Method