Title :
The Standard Dual Frame of a Wavelet Frame Generated by Two Functions
Author :
Zhou, Jianfeng ; Li, Tizheng
Author_Institution :
Coll. of Infant Teachers, Xi´´an Univ. of Arts & Sci., Xi´´an
Abstract :
In this paper, we show that there exist wavelet frames generated by two functions which have good dual wavelet frames, but for which the standard dual wavelet frame does not consist of wavelets. That is to say, the standard dual wavelet frame cannot be generated by the translations and dilations of a single function.
Keywords :
wavelet transforms; dilations; standard dual wavelet frame; translations; Art; Artificial intelligence; Bismuth; Data compression; Educational institutions; Focusing; Fourier series; Hilbert space; Image processing; Signal processing; standard dual frames; wavelet frames; wavelets;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.179
