On the uniform approximation of discrete-time systems by generalized Fourier series

Authors
Akcay, H
Citation
H. Akcay, On the uniform approximation of discrete-time systems by generalized Fourier series, IEEE SIGNAL, 49(7), 2001, pp. 1461-1467
Citations number
22
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON SIGNAL PROCESSING
ISSN journal
1053587X → ACNP
Volume
49
Issue
7
Year of publication
2001
Pages
1461 - 1467
Database
ISI
SICI code
1053-587X(200107)49:7<1461:OTUAOD>2.0.ZU;2-P
Abstract
In this paper, model sets for linear time-invariant discrete-time systems s panned by fixed orthonormal bases are studied. It is shown that the Fourier series of the system transfer function with respect to these bases converg es uniformly on the unit circle if the frequency response of the system is Dini-Lipschitz continuous.