Title :
Some properties of Bessel sequences in Hilbert spaces
Author :
Zhu, Xiu-Ge ; Zhang, Xiao-Jing ; Wu, Guo-Chang
Author_Institution :
Comput. Center, Henan Univ., Kaifeng, China
Abstract :
Frame theory plays an important role in signal processing, image processing, data compression and sampling theory. In this short paper, some properties of Bessel sequences in Hilbert spaces are obtained, which generalize the existing results of frame to the case of Bessel sequences.
Keywords :
Bessel functions; Hilbert spaces; Bessel sequences property; Hilbert spaces; data compression; frame theory; image processing; sampling theory; signal processing; Data compression; Educational institutions; Hilbert space; Pattern recognition; Signal processing; Wavelet analysis; Bessel sequence; Frame; Hilbert space;
Conference_Titel :
Wavelet Analysis and Pattern Recognition (ICWAPR), 2012 International Conference on
Conference_Location :
Xian
Print_ISBN :
978-1-4673-1534-0
DOI :
10.1109/ICWAPR.2012.6294800