Dominguez-Jimenez-2011a
From IEETA
Article
| Title | Some extremal properties of Daubechies filters and other orthonormal filters |
|---|---|
| Author | M. Elena Domínguez-Jiménez, Paulo J S G Ferreira |
| Journal | Signal Processing |
| Volume | 91 |
| Number | 1 |
| Pages | 85-89 |
| Month | January |
| Year | 2011 |
| DOI | 10.1016/j.sigpro.2010.06.011 |
| Group | |
| Group (before 2015) | Signal Processing Laboratory |
| Indexed by ISI | Yes |
Abstract
New extremal properties of Daubechies 4-tap orthonormal filters are given: they maximize a certain functional, have the largest gain in (0,π / 2), and allow maximum energy compaction in [0,π / 2]. These properties do not carry over to Daubechies filters of arbitrary length. They complement what is known about Daubechies filters and highlight the specific role of the 4-tap filter. Moreover, we demonstrate that these properties cannot be fulfilled by any other orthonormal lowpass filter, regardless of its length.