Optimization of Synthesis Oversampled Complex Filter Banks - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Signal Processing Année : 2009

Optimization of Synthesis Oversampled Complex Filter Banks

Laurent Duval

Résumé

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.
Fichier principal
Vignette du fichier
jg_2008pp_tsp_arxiv.pdf (658.14 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00405293 , version 1 (20-07-2009)

Identifiants

Citer

Jérôme Gauthier, Laurent Duval, Jean-Christophe Pesquet. Optimization of Synthesis Oversampled Complex Filter Banks. IEEE Transactions on Signal Processing, 2009, 57 (10), pp.3827 - 3843. ⟨10.1109/TSP.2009.2023947⟩. ⟨hal-00405293⟩
569 Consultations
374 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More