High Balanced Biorthogonal Multiwavelets with Symmetry
Joint Authors
Li, Youfa
Yang, S. Z.
Zhang, Gengrong
Shen, Y. F.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Balanced multiwavelet transform can process the vector-valued data sparsely while preserving a polynomial signal.
Yang et al.
(2006) constructed balanced multiwavelets from the existing nonbalanced ones.
It will be proved, however, in this paper that if the nonbalanced multiwavelets have antisymmetric component, it is impossible for the balanced multiwavelets by the method mentioned above to have symmetry.
In this paper, we give an algorithm for constructing a pair of biorthogonal symmetric refinable function vectors from any orthogonal refinable function vector, which has symmetric and antisymmetric components.
Then, a general scheme is given for high balanced biorthogonal multiwavelets with symmetry from the constructed pair of biorthogonal refinable function vectors.
Moreover, we discuss the approximation orders of the biorthogonal symmetric refinable function vectors.
An example is given to illustrate our results.
American Psychological Association (APA)
Li, Youfa& Yang, S. Z.& Shen, Y. F.& Zhang, Gengrong. 2014. High Balanced Biorthogonal Multiwavelets with Symmetry. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013363
Modern Language Association (MLA)
Li, Youfa…[et al.]. High Balanced Biorthogonal Multiwavelets with Symmetry. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1013363
American Medical Association (AMA)
Li, Youfa& Yang, S. Z.& Shen, Y. F.& Zhang, Gengrong. High Balanced Biorthogonal Multiwavelets with Symmetry. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013363
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013363