Title
An algorithm for constructing the two-direction Armlet multiwavelet
Abstract
In this paper, an algorithm is discussed for constructing the two-direction Armlet multiwavelet. First, the definition of two-direction Armlet multiwavelet is presented in this paper. A two-direction multiwavelet can be changed to a special multi-wavelet. By Two-scale Similar Transform (TST), a transform can be taken on the two-scale matrix symbols of a two-direction multi-wavelets. This transform keeps the orthogonality of the two-direction multi-wavelets. However, the condition is discussed which the two-direction multi-wavelet corresponding to a two-direction multi-scaling function is an Armlet with order n. An approach is given for constructing the transform matrix. Finally, an example is given for discussing the two-direction Armlet multi-wavelet with order 2.
Year
DOI
Venue
2022
10.1142/S0219691322500187
INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING
Keywords
DocType
Volume
Two-direction wavelet, Armlet, two-scale similar transform
Journal
20
Issue
ISSN
Citations 
05
0219-6913
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Gang Wang113.19
Xiaohui Zhou2279.21