Choice of free parameters in expansions of discrete-time Volterra models using Kautz functions
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 …
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 …
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 …
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 …
by truncated series of orthonormal generalized Laguerre functions. The generalized …
Selection of generalized orthonormal bases for second-order Volterra filters
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 …
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 …
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 …
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 …
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 …
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 …
applications in audio signal processing due to having a good match with auditory frequency …