Ferenc Schipp

Frequency domain identification of partial fraction models

Abstract The paper constructs a method for identification of models given in partial fraction representation by using a specific discrete bi-orthogonal system of functions specified by the poles and their multiplicities. Using frequency domain data, an iteration algorithm convergent in second order is given that incorporates procedures for finding not only the pole locations, but also their corresponding multiplicity.

Representation and approximation of signals and systems using generalized Kautz functions

This paper discusses representations of signals and systems in a rational orthogonal basis called generalized Kautz basis. It is shown that the computation of the coefficients in this basis can be performed by applying FFT to appropriately transformed system transfer function. Approximation properties in H/sup 2/ and H/sup /spl infin// norms using partial sum operators is investigated, too.

Approximate H/sub /spl infin// identification using partial sum operators in disc algebra basis

The problem of approximate H/sub /spl infin// identification is considered. A basis using the Faber-Schauder and Franklin systems is constructed in the disc algebra and the partial sum operators on this basis are used to obtain approximate models. A linear identification procedure has been developed to obtain the model parameters from frequency response measurements.

Applying hyperbolic wavelet constructions in the identification of signals and systems

Abstract This paper is devoted to the construction of wavelet-type transforms with the purpose to represent functions belonging to the Hardy-space H 2 . The concept of the affine wavelet-transform defined in the space L 2 is extended to the Hardy space H 2 on the basis of the Blaschke group. A discrete hyperbolic wavelet scheme is also constructed that results in computable forms. The wavelet construction obtained possesses good localization properties with respect to functions in H 2 , hence forms an adequate tool for signal and system identification purposes.