Characterizations of Biorthogonal Wavelets Which Are Associated with Biorthogonal Multiresolution Analyses

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Characterizations of biorthogonal wavelets which are associated with biorthogonal multiresolution analyses

We improve Wang's characterization for a pair of biorthogonal wavelets to be associated with biorthogonal multiresolution analyses (MRA's). We show that one of the two conditions in his characterization is redundant, and, along the way, show that for a pair of biorthogonal wavelets to be associated with biorthogonal MRA's it is necessary and suÆcient that one of the wavelets is associated with ...

متن کامل

Multiresolution Time-Domain Using CDF Biorthogonal Wavelets

A new approach to the multiresolution time-domain (MRTD) algorithm is presented in this paper by introducing a field expansion in terms of biorthogonal scaling and wavelet functions. Particular focus is placed on the Cohen–Daubechies–Feauveau (CDF) biorthogonal-wavelet class, although the methodology is appropriate for general biorthogonal wavelets. The computational efficiency and numerical di...

متن کامل

Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution

In this paper, we introduce the notion of biorthogonal wavelet packets associated with nonuniform multiresoltion analysis and study their characteristics by means of Fourier transform. Three biorthogonal formulas regarding these wavelet packets are established. Moreover, it is shown how to obtain several new Riesz bases of the space (R) by constructing a series of subspaces of these nonuniform ...

متن کامل

Biorthogonal Wavelets and Multigrid

We will be concerned with the solution of an elliptic boundary value problem in one dimension with polynomial coeecients. In a Galerkin approach, we employ biorthogonal wavelets adapted to a diierential operator with constant coeecients, and use the reenement equations to set up the system of linear equations with exact entries (up to round-oo). For the solution of the linear equation, we const...

متن کامل

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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Applied and Computational Harmonic Analysis

سال: 2001

ISSN: 1063-5203

DOI: 10.1006/acha.2001.0351