Paraunitary matrices and group rings

Document Type: Research Paper


1 NUI, Galway

2 National University of Ireland Galway


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.


Main Subjects

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