In the last decade, Daubechies orthogonal wavelets have been successfully used in many signal processing paradims. The construction of these wavelets via two channel perfect reconstruction filter bank requires the identification of necessary conditions that the coefficients of the filters and the roots of binomial polynomials associated with it should exhibit. In this paper, a subclass of polyn...

A wavelet Galerkin finite-element method is proposed by combining the wavelet analysis with traditional finite-element method to analyze wave propagation phenomena in fluid-saturated porous medium. The scaling functions of Daubechies wavelets are considered as the interpolation basis functions to replace the polynomial functions, and then the wavelet element is constructed. In order to overcome...

This thesis gives an introduction to the discrete complex wavelet transform, followed by a mean square error based performance analysis of complex wavelet-based compression of synthetic aperture radar (SAR) data within the software framework of the JPEG 2000 Verification Model (VM). With the many varied wavelets available to the signal processing community, it can be difficult to determine whic...

we show how daubechies wavelets are used to solve kuramoto-sivashinsky type equations with periodic boundary condition‎. ‎wavelet bases are used for numerical solution of the kuramoto-sivashinsky type equations by galerkin method‎. ‎the numerical results in comparison with the exact solution prove the efficiency and accuracy of our method‎.

We study embeddings between generalised Besov–Morrey spaces Nφ,p,qs(Rd). Both sufficient and necessary conditions for the are proved. Embeddings of into Lebesgue Lr(Rd) also considered. Our approach requires a wavelet characterisation which we establish system Daubechies wavelets.

Abstract: Wavelet transformation is a new development in the area of applied mathematics. Wavelets are mathematical tools that cut data or functions or operators into different frequency components, and then study each component with a resolution matching to its scale. In this article, we have made a brief discussion on historical development of wavelets, basic definitions, formulations of wave...