 |
|
|
|
| HAL: hal-00405293, version 1 |
| DOI: 10.1109/TSP.2009.2023947 |
| Detailed view |  Export this paper |
|
|
| IEEE Transactions on Signal Processing 57, 10 (2009) 3827 - 3843 |
|
|
|
|
| Optimization of Synthesis Oversampled Complex Filter Banks |
|
|
| Jérôme Gauthier 1Laurent Duval 2 |
|
|
| (2009-05-27) |
|
|
|
| An important issue with oversampled FIR analysis filter banks (FBs) is to determine inverse synthesis FBs, when they exist. Given any complex oversampled FIR analysis FB, we first provide an algorithm to determine whether there exists an inverse FIR synthesis system. We also provide a method to ensure the Hermitian symmetry property on the synthesis side, which is serviceable to processing real-valued signals. As an invertible analysis scheme corresponds to a redundant decomposition, there is no unique inverse FB. Given a particular solution, we parameterize the whole family of inverses through a null space projection. The resulting reduced parameter set simplifies design procedures, since the perfect reconstruction constrained optimization problem is recast as an unconstrained optimization problem. The design of optimized synthesis FBs based on time or frequency localization criteria is then investigated, using a simple yet efficient gradient algorithm. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Département Traitement du Signal et des Images (TSI) |
|
|
|
ENST |
|
|
| 2: | IFP Energies Nouvelles (IFPEN) |
|
|
|
IFP Energies Nouvelles |
|
|
| 3: | Laboratoire d'informatique Gaspard-Monge [Marne-la-Vallée] (LIGM) |
|
|
|
CNRS – Université Paris Est Marne-la-Vallée – Ecole des Ponts ParisTech – ESIEE |
|
|
|
|
|
|
|
|
|
| Subject | : | Engineering Sciences/Signal and Image processing Computer Science/Signal and Image Processing |
|
|
| Oversampled filter banks – inversion – filter design – optimization – time localization – frequency localization – lapped transforms – modulated filter banks |
|
|
|
| Attached file list to this document: | |||||
|
|||||
|
|
|
| hal-00405293, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00405293 | |
| oai:hal.archives-ouvertes.fr:hal-00405293 | |
| From: Jérôme Gauthier | |
| Submitted on: Monday, 20 July 2009 11:21:14 | |
| Updated on: Tuesday, 13 September 2011 09:13:26 | |
