Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 31-56 |
| Number of pages | 26 |
| Journal | International Journal of Group Theory |
| Volume | 3 |
| Issue number | 1 |
| Publication status | Published - 2014 |
Keywords
- Group ring
- Idempotent
- Paraunitary matrix