Filter Banks on Discrete Abelian Groups
| Autor: | Garcia, Antonio Garcia, Hernandez-Medina, Miguel Angel, Perez-Villalon, Gerardo |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this work we provide polyphase, modulation, and frame theoretical analyses of a filter bank on a discrete abelian group. Thus, multidimensional or cyclic filter banks as well as filter banks for signals in $\ell^2(\mathbb{Z}^d\times \mathbb{Z}_s)$ or $\ell^2(\mathbb{Z}_r \times \mathbb{Z}_s)$ spaces are studied in a unified way. We obtain perfect reconstruction conditions and the corresponding frame bounds. Comment: This version is the same as the previous one except some comments on the polyphase transform and some references have been added |
| Databáze: | arXiv |
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