Title :
On the uniform approximation of discrete-time systems by generalized Fourier series
Author_Institution :
Anadolu Univ., Eskisehir, Turkey
fDate :
7/1/2001 12:00:00 AM
Abstract :
In this paper, model sets for linear time-invariant discrete-time systems spanned by fixed orthonormal bases are studied. It is shown that the Fourier series of the system transfer function with respect to these bases converges uniformly on the unit circle if the frequency response of the system is Dini-Lipschitz continuous
Keywords :
Fourier series; approximation theory; convergence of numerical methods; discrete time systems; frequency response; Dini-Lipschitz continuous frequency response; fixed orthonormal bases; generalized Fourier series; linear time-invariant discrete-time systems; model sets; system transfer function; uniform approximation; unit circle; Algebra; Convergence; Flexible structures; Fourier series; Frequency response; Helium; History; Information analysis; Robustness; Transfer functions;
Journal_Title :
Signal Processing, IEEE Transactions on
