Title :
Gabor frame generated by multiple generators of L2(Rd)
Author :
Lv, Xian-Li ; Huang, Yong-Dong ; Li, Gen-Qiang
Author_Institution :
Inst. of Inf. & Syst. Sci., Beifang Univ. of Nat., Yinchuan, China
Abstract :
In this paper, Gabor frame, which is generated by multiple generators of L2(Rd), is studied. Firstly, several sufficient conditions and necessary conditions are presented for multi-Gabor frame (MGF). Then, these results are extended to the matrices which satisfy A = (BT)-1, and two corollaries are given for Gabor frame {EmBTnAgl: m, n ϵ Zd; l = 1, ..., L}. Finally, an example is provided for illustration.
Keywords :
Gabor filters; matrix algebra; MGF; multiGabor frame; multiple generators; Educational institutions; Fourier transforms; Generators; Pattern recognition; Signal analysis; Sufficient conditions; Wavelet analysis; Frame; frame sequence; multi-Gabor frame; sufficient condition;
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.2012.6294788