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
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;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921113
