CASCADE LATTICE IIR ADAPTIVE FILTERS

Citation
Kx. Miao et al., CASCADE LATTICE IIR ADAPTIVE FILTERS, IEEE transactions on signal processing, 42(4), 1994, pp. 721-742
Citations number
33
Categorie Soggetti
Acoustics
ISSN journal
1053587X
Volume
42
Issue
4
Year of publication
1994
Pages
721 - 742
Database
ISI
SICI code
1053-587X(1994)42:4<721:CLIAF>2.0.ZU;2-I
Abstract
The feedback lattice filter forms, including the two-multiplier form a nd the normalized form, are examined with respect to their relationshi ps to the feedback direct form filter. Specifically, the transformatio n matrix between the lattice forms and the direct form is dervied; par ameter and state relationships between the lattice forms and the direc t form are therefore obtained. An IIR filter structure-the cascade lat tice IIR structure-is constructed. Based on this structure, three IIR adaptive filtering algorithms in the two-multiplier form can then be d eveloped following the gradient approach, the Steiglitz-McBride approa ch and the hyperstability approach. Convergence of these algorithms is theoretically analyzed using either the ODE approach or the hyperstab ility theorem. These algorithms will then be simplified into forms com putationally as efficient as their corresponding direct form algorithm s. Relationships of the simplified algorithms to the direct form algor ithms are also studied, which disclose a consistency in algorithm stru cture regardless of the filter form. Three normalized lattice algorith ms can also be derived from the two-multiplier lattice algorithms. Exp erimental results show much improved performance of the normalized lat tice algorithms over the two-multiplier lattice algorithms and the dir ect form algorithms.