Balanced multiwavelets with short filters

摘要

In a recent work, Selesnick constructed two GHM-like scaling function vectors of dimension two that allow balanced multiwavelet decomposition. In this letter, we construct such multiwavelets and give the corresponding decomposition/reconstruction filters. Symmetry and/or antisymmetry are achieved and filterbank shifts are investigated. The fundamental tools for the study of this problem area are presented in the second and third sections for completeness.