< Terug naar vorige pagina
Publicatie
Taylor-Fourier series analysis for fractional order systems
Boekbijdrage - Boekhoofdstuk Conferentiebijdrage
Dynamical systems describing a physical process with a
dominant diffusion phenomenon require a large dimensional
model due to their long memory. Without prior
knowledge, it is however not straightforward to know
if/whether one deals with a fractional order system or long
memory effects.
Since the parametric modeling of a fractional system is
very involved, we tackle the question whether fractional
insight can be gathered in a non-parametric way.
In this paper we show that the classical Fourier basis
leading to the Frequency Response Function (FRF) lacks
fractional insight. Therefore, we introduce a TaylorFourier
basis to obtain non-parametric insight in the fractional
system. This analysis proposes a novel type of spectrum
to visualize the spectral content of a fractional system:
the Taylor-Fourier spectrum.
Boek: 23rd European Signal Processing Conference (EUSIPCO)
Series: European Signal Processing Conference
Pagina's: 943-947
Aantal pagina's: 5
ISBN:978-0-9928626-4-0
Jaar van publicatie:2015
Trefwoorden:Non-parametric modeling, Dynamic systems, fractional order systems, Taylor-Fourier basis, theory of frames