DocumentCode
1744840
Title
Compactly supported matrix valued wavelets-biorthogonal unconditional bases
Author
Slavakis, Konstaintinos ; Yamada, Isao
Author_Institution
Dept. of Commun. & Integrated Syst., Tokyo Inst. of Technol., Japan
Volume
2
fYear
2001
fDate
6-9 May 2001
Firstpage
485
Abstract
This paper introduces the concept of biorthogonal matrix valued wavelet bases. By elaborating on perfect reconstruction matrix filter banks which are assembled by matrix FIR filters, we form matrix valued wavelet functions with compact support such that they constitute unconditional bases for the space of matrix valued signals. To validate the theory, a class of unconditional biorthogonal and orthonormal matrix valued wavelets is given. The links of the present scheme with the multiwavelets´ frame are also explored
Keywords
FIR filters; data compression; digital filters; wavelet transforms; biorthogonal unconditional bases; compactly supported matrix valued wavelets; matrix FIR filters; matrix valued signals; orthonormal matrix valued wavelets; perfect reconstruction matrix filter banks; Assembly; Data compression; Filter bank; Finite impulse response filter; Signal design; Wavelet transforms;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location
Sydney, NSW
Print_ISBN
0-7803-6685-9
Type
conf
DOI
10.1109/ISCAS.2001.921113
Filename
921113
Link To Document