TY  - JOUR
A1  - Cotronei, Mariantonia
A1  - Holschneider, Matthias
T1  - Partial parameterization of orthogonal wavelet matrix filters
JF  - Journal of computational and applied mathematics
N2  - In this paper we propose a procedure which allows the construction of a large family of FIR d x d matrix wavelet filters by exploiting the one-to-one correspondence between QMF systems and orthogonal operators which commute with the shifts by two. A characterization of the class of filters of full rank type that can be obtained with such procedure is given. In particular, we restrict our attention to a special construction based on the representation of SO(2d) in terms of the elements of its Lie algebra. Explicit expressions for the filters in the case d = 2 are given, as a result of a local analysis of the parameterization obtained from perturbing the Haar system.
KW  - Full rank matrix filters
KW  - Multichannel wavelets
KW  - Quadrature mirror filters
KW  - Vector subdivision schemes
Y1  - 2013
U6  - https://doi.org/10.1016/j.cam.2012.11.016
SN  - 0377-0427
VL  - 243
IS  - 4
SP  - 113
EP  - 125
PB  - Elsevier
CY  - Amsterdam
ER  -