University of Isfahan International Journal of Group Theory 2251-7650 3 1 2014 03 01 Paraunitary matrices and group rings 31 56 2993 10.22108/ijgt.2014.2993 EN Barry Hurley NUI, Galway Ted Hurley National University of Ireland Galway Journal Article 2013 02 15 Design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structures are presented. These include techniques for designing non-separable multidimensional paraunitary matrices. Properties of the structures are obtained and proofs given. Paraunitary matrices play a central role in signal processing, in particular in the areas of filterbanks and wavelets. paraunitary idempotent multidimensional https://ijgt.ui.ac.ir/article_2993_caea049cd9d09fef8835afb8db2cf879.pdf