Name
Abstract | ||
|---|---|---|
New extremal properties of Daubechies 4-tap orthonormal filters are given: they maximize a certain functional, have the largest gain in (0,@p/2), and allow maximum energy compaction in [0,@p/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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.sigpro.2010.06.011 | Signal Processing |
Keywords | Field | DocType |
arbitrary length,maximum energy compaction,largest gain,4-tap filter,new extremal property,daubechies filter,4-tap orthonormal filter,specific role,orthonormal lowpass,filter bank | Control theory,Filter bank,Energy compaction,Orthonormal basis,Low-pass filter,Mathematics | Journal |
Volume | Issue | ISSN |
91 | 1 | Signal Processing |
Citations | PageRank | References |
1 | 0.39 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| María Elena Domínguez-Jiménez | 1 | 4 | 2.12 |
| Paulo J. S. G. Ferreira | 2 | 137 | 25.98 |