WeightedH 2 approximation of transfer functions

Weighted H 2 approximation of transfer functions

The aim of this work is to generalize to the case of weighted L 2 spaces some results about L 2 approximation by analytic and rational functions which are useful to perform the identiication of unknown transfer functions of stable (linear causal timeeinvariant) systems from incomplete frequency data. Approximation H 2 ponddrre de fonctions de transfert RRsumm : L'objet de ce rapport est de ggnn...

Approximation of Head Related Transfer Functions

The set of Head Related Transfer Functions (HRTF) enables the generation of spatial sound [1]. Two FIR filters with 512 coefficients are required for any spatial position. This paper suggests a method for the description of HRTFs which reduces the total number of necessary coefficients for the factor 4.5 – 14 and enables the construction of new filters for nonmeasured positions. The method expl...

APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS

In this paper we propose a method to approximate a parametric 3 D-function by bicubic B-spline functions

On Padé Approximation of Some Practical Functions

Frequency-weighted optimal Hankel-norm approximation of stable transfer functions

The present paper presents a method of frequency shaping the error obtained by performing an optimal Hankel-norm approximation of a scalar, finite-dimensional, linear, time-invariant system. The optimal Hankel-norm approximation procedure finds a transfer function (or transfer function matrix) of prescribed order which approximates a given transfer function (or transfer function matrix) of grea...