@article{CotroneiHolschneider2013,
  author    = {Cotronei, Mariantonia and Holschneider, Matthias},
  title     = {Partial parameterization of orthogonal wavelet matrix filters},
  series = {Journal of computational and applied mathematics},
  volume    = {243},
  journal   = {Journal of computational and applied mathematics},
  number    = {4},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0377-0427},
  doi       = {10.1016/j.cam.2012.11.016},
  pages     = {113 -- 125},
  year      = {2013},
  abstract  = {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.},
  language  = {en}
}