DocumentCode
2648300
Title
The canonical frame of a wavelet frame generated by two functions
Author
Luo, Ping ; Guo, Ming-pu
Author_Institution
Henan Vocational & Tech. Coll. of Ind., Nanyang
Volume
4
fYear
2007
fDate
2-4 Nov. 2007
Firstpage
1708
Lastpage
1712
Abstract
In this paper, we show that there exist wavelet frame generated by two junctions which have good dual wavelet frames, but for which the canonical dual wavelet frame does not consist of wavelets. That is to say, the canonical dual wavelet frame cannot be generated by the translations and dilations of a single function.
Keywords
signal processing; wavelet transforms; canonical wavelet frame; dual wavelet frame; frame operator; Artificial intelligence; Bismuth; Educational institutions; Focusing; Hilbert space; Notice of Violation; Pattern analysis; Pattern recognition; Upper bound; Wavelet analysis; Frame operator; dual wavelet frame; the canonical wavelet frame; wavelet frame;
fLanguage
English
Publisher
ieee
Conference_Titel
Wavelet Analysis and Pattern Recognition, 2007. ICWAPR '07. International Conference on
Conference_Location
Beijing
Print_ISBN
978-1-4244-1065-1
Electronic_ISBN
978-1-4244-1066-8
Type
conf
DOI
10.1109/ICWAPR.2007.4421729
Filename
4421729
Link To Document