Convergence of the Newton Structure Transfer Function to the Ideal Fractional Delay Filter - Université de Rennes Accéder directement au contenu
Article Dans Une Revue IEEE Signal Processing Letters Année : 2019

Convergence of the Newton Structure Transfer Function to the Ideal Fractional Delay Filter

Résumé

This letter presents a rigorous demonstration of the convergence of the Newton fractional-delay filter to the ideal fractional delay filter. The Newton structure is a very efficient implementation of Lagrange interpolation using a variable fractional delay filter structure. Through the developed demonstration, a new approach is proposed to define the ideal fractional delay filter as the limit of any digital filter implementing on Lagrange interpolation. This letter also proves that the Z-transform expression of the ideal fractional delay has a fully defined frequency response on the unit circle.
Fichier non déposé

Dates et versions

hal-02176477 , version 1 (08-07-2019)

Identifiants

Citer

Stéphane Paquelet, Ali Zeineddine, Amor Nafkha, Pierre-Yves Jezequel, Christophe Moy. Convergence of the Newton Structure Transfer Function to the Ideal Fractional Delay Filter. IEEE Signal Processing Letters, 2019, 26 (9), pp.1354-1358. ⟨10.1109/LSP.2019.2929439⟩. ⟨hal-02176477⟩
109 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More