Choice of free parameters in expansions of discrete-time Volterra models using Kautz functions

A Da Rosa, RJGB Campello, WC Amaral - Automatica, 2007 - Elsevier
This work tackles the problem of modeling nonlinear systems using Volterra models based
on Kautz functions. The drawback of requiring a large number of parameters in the …

Kautz filters and generalized frequency resolution: Theory and audio applications

T Paatero, M Karjalainen - Journal of the Audio Engineering Society, 2003 - aes.org
Frequency-warped filters have recently been applied successfully to a number of audio
applications. The idea of all-pass delay elements replacing unit delays in digital filters allows …

An introduction to models based on Laguerre, Kautz and other related orthonormal functions–part i: linear and uncertain models

GHC Oliveira, A Da Rosa… - International …, 2011 - inderscienceonline.com
This paper provides an overview of system identification using orthonormal basis function
models, such as those based on Laguerre, Kautz, and generalised orthonormal basis …

Optimal parametrization of truncated generalized Laguerre series

HJW Belt, AC den Brinker - 1997 IEEE International …, 1997 - ieeexplore.ieee.org
In this paper we address the problem of approximating functions on a semi-infinite interval
by truncated series of orthonormal generalized Laguerre functions. The generalized …

Selection of generalized orthonormal bases for second-order Volterra filters

AY Kibangou, G Favier, MM Hassani - Signal Processing, 2005 - Elsevier
Volterra models are very useful for signal and system representation due to their general
nonlinear structure and their property of linearity with respect to their parameters, the kernel …

Exact search directions for optimization of linear and nonlinear models based on generalized orthonormal functions

A Da Rosa, RJGB Campello… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
A novel technique for selecting the poles of orthonormal basis functions (OBF) in Volterra
models of any order is presented. It is well-known that the usual large number of parameters …

Pertinent choice of parameters for discrete Kautz approximation

N Tanguy, R Morvan, P Vilbé… - IEEE Transactions on …, 2002 - ieeexplore.ieee.org
Kautz functions have received much attention in the recent mathematical modeling and
identification literature. These functions which involve free parameters can approximate …

Optimality conditions for truncated Kautz networks with two periodically repeating complex conjugate poles

TO e Silva - IEEE Transactions on Automatic Control, 1995 - ieeexplore.ieee.org
Presents optimality conditions for the approximation of a SISO system by a truncated Kautz
network with two repeating complex conjugate poles. Both the continuous and the discrete …

System approximations based on Meixner‐like models

S Maraoui, A Krifa, K Bouzrara - IET Signal Processing, 2016 - Wiley Online Library
In this study, the authors investigate the parametric complexity reduction of the Meixner‐like
model for linear discrete‐time system representation. The use of the Meixner‐like functions …

Modeling and equalization of audio systems using Kautz filters

T Paatero, M Karjalainen… - 2001 IEEE International …, 2001 - ieeexplore.ieee.org
Frequency war** using all pass structures or Laguerre filters has increasingly found
applications in audio signal processing due to having a good match with auditory frequency …