Title :
Black-box modelling by rational function approximation
Author :
Gao, Rong ; Mekonnen, Yidnekachew S. ; Beyene, Wendemagegnehu T. ; Schutt-Ainé, Jose E.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana-Champaign, IL, USA
Abstract :
In this paper, a rational function approach is used to approximate the transfer function of linear systems characterized by sampled data. The ill-conditioned Vandermonde-like matrix associated with the ordinary power series is avoided by using Chebyshev polynomials. Clenshaw´s recurrence algorithm is applied in transforming the Chebyshev coefficients to the ordinary power series. The passivity of the system is enforced through certain constraints on the residues.
Keywords :
Chebyshev approximation; integrated circuit modelling; linear systems; transfer functions; Chebyshev coefficients; Chebyshev polynomials; Clenshaw recurrence algorithm; black-box modelling; ill-conditioned Vandermonde-like matrix; linear systems; power series; rational function approximation; Analytical models; Chebyshev approximation; Circuit simulation; Frequency domain analysis; Frequency measurement; Function approximation; Linear systems; Polynomials; Time domain analysis; Transfer functions;
Conference_Titel :
Signal Propagation on Interconnects, 2004. Proceedings. 8th IEEE Workshop on
Print_ISBN :
0-7803-8470-9
DOI :
10.1109/SPI.2004.1409017
