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
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;
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
DOI :
10.1109/ICWAPR.2007.4421729
