Title :
A study of M-band minimum-energy frames on the interval
Author :
Yuan, Yi ; Zhao, Ping
Author_Institution :
Sch. of Sci., Beijing Jiaotong Univ., Beijing, China
Abstract :
The M-band interval minimum-energy wavelet frames are studied in this paper. Wavelet frames on the interval are constructed by M-band wavelet functions that correspond to some scaling functions with arbitrary integer support length. Moreover, the necessary and sufficient conditions are obtained when M-band minimum-energy frames exist, which can be used to develop an algorithm to construct these frames.
Keywords :
wavelet transforms; M-band interval minimum energy wavelet frame; M-band wavelet functions; Equations; Fourier transforms; Multiresolution analysis; Sufficient conditions; Wavelet transforms;
Conference_Titel :
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-9440-8
DOI :
10.1109/ICIST.2011.5765325
