TY - GEN
T1 - Compactly supported matrix valued wavelets-biorthogonal unconditional bases
AU - Slavakis, Konstantinos
AU - Yamada, Isao
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0035008220&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035008220&partnerID=8YFLogxK
U2 - 10.1109/ISCAS.2001.921113
DO - 10.1109/ISCAS.2001.921113
M3 - Conference contribution
AN - SCOPUS:0035008220
SN - 0780366859
SN - 9780780366855
T3 - ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
SP - 485
EP - 488
BT - ISCAS 2001 - 2001 IEEE International Symposium on Circuits and Systems, Conference Proceedings
T2 - 2001 IEEE International Symposium on Circuits and Systems, ISCAS 2001
Y2 - 6 May 2001 through 9 May 2001
ER -