Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties
Joint Authors
Cui, Lihong
Sun, Jianjun
Huang, Bin
Cui, Lihong
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-03
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A construction approach for the 3-band tight wavelet frames by factorization of paraunitary matrix is developed.
Several necessary constraints on the filter lengths and symmetric features of wavelet frames are investigated starting at the constructed paraunitary matrix.
The matrix is a symmetric extension of the polyphase matrix corresponding to 3-band tight wavelet frames.
Further, the parameterizations of 3-band tight wavelet frames with 3N+1 filter lengths are established.
Examples of framelets with symmetry/antisymmetry and Sobolev exponent are computed by appropriately choosing the parameters in the scheme.
American Psychological Association (APA)
Sun, Jianjun& Huang, Bin& Cui, Lihong& Cui, Lihong. 2012. Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1029050
Modern Language Association (MLA)
Sun, Jianjun…[et al.]. Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties. Journal of Applied Mathematics No. 2012 (2012), pp.1-20.
https://search.emarefa.net/detail/BIM-1029050
American Medical Association (AMA)
Sun, Jianjun& Huang, Bin& Cui, Lihong& Cui, Lihong. Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-20.
https://search.emarefa.net/detail/BIM-1029050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029050
