Title :
Representation and approximation of signals and systems using generalized Kautz functions
Author :
Soumelidis, Alexandros ; Bokor, J. ; Schipp, F.
Author_Institution :
Comput. & Autom. Inst., Hungarian Acad. of Sci., Budapest, Hungary
Abstract :
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 H2 and H∞ norms using partial sum operators is investigated, too
Keywords :
H∞ optimisation; fast Fourier transforms; function approximation; modelling; signal representation; transfer functions; FFT; H∞ norm; H2 norm; generalized Kautz basis; generalized Kautz functions; partial sum operators; rational orthogonal basis; signal approximation; signal representation; system approximation; system representation; system transfer function; Algebra; Approximation error; Automation; Fourier series; Signal processing; System identification; Transfer functions;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.652449