Title : ( A New Construction of Multiwavelets With Composite Dilations )
Authors: نجمه سادات سیدی , Rajab Ali Kamyabi Gol , Fatemeh Esmaeelzadeh ,
Full TextAbstract
Consider an affine system () AB A with composite dilations a b D ,D , in which , , , (R) n aA bB A B GL and ( ) 2 n L R . It can be made an orthonormal AB -multiwavelet or a parsval frame AB -wavelet , by choosing appropriate sets A and B . In this paper, we constructe an orthonormal AB -multiwavelet that arises from AB - multiresolution analysis . Our construction is useful since the group B is shear group. More generally, we give a parsval frame AB -wavelet.
Keywords
Wavelet with composite dilation; orthonormal basis; parsval frame; multiwavelet
@article{paperid:1050501,
author = {سیدی, نجمه سادات and Kamyabi Gol, Rajab Ali and Fatemeh Esmaeelzadeh},
title = {A New Construction of Multiwavelets With Composite Dilations},
journal = {Journal of Advances in Mathematics},
year = {2014},
volume = {9},
number = {6},
month = {December},
issn = {2347-1921},
pages = {2762--2772},
numpages = {10},
keywords = {Wavelet with composite dilation; orthonormal basis; parsval frame; multiwavelet},
}
%0 Journal Article
%T A New Construction of Multiwavelets With Composite Dilations
%A سیدی, نجمه سادات
%A Kamyabi Gol, Rajab Ali
%A Fatemeh Esmaeelzadeh
%J Journal of Advances in Mathematics
%@ 2347-1921
%D 2014
