Biorthogonal Wavelet Packets Associated with Nonuniform Multiresolution

نویسنده

  • Firdous Ahmad Shah
چکیده

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 wavelet packets.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An Overview of Wavelet Based Multiresolution Analyses

In this paper we present an overview of wavelet based multiresolution analyses. First, we brie y discuss the continuous wavelet transform in its simplest form. Then, we give the de nition of a multiresolution analysis and show how wavelets t into it. We take a closer look at orthogonal, biorthogonal and semiorthogonal wavelets. The fast wavelet transform, wavelets on an interval, multidimension...

متن کامل

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

Biorthogonal Box Spline Wavelet

Some speciic box splines are reenable functions with respect to nn expanding integer scaling matrices M satisfying M n = 2I: Therefore they can be used to deene a multiresolution analysis and a wavelet basis associated with these scaling matrices. In this paper, we construct biorthogonal wavelet bases for this special subclass of box splines. These speciic bases can also be used to derive wavel...

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 p–WAVELET PACKETS RELATED TO THE WALSH POLYNOMIALS

This paper deals with the construction of biorthogonal p -wavelet packets on R+ related to the Walsh polynomials and their properties are investigated by means of Walsh-Fourier transform. Three biorthogonal formulas regarding these p -wavelet packets are derived. Moreover, it is shown how to obtain several new Riesz bases of the space L2(R+) by constructing a series of subspaces of these p -wav...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014