Title :
Macromodeling of transfer functions with higher-order pole multiplicities
Author :
Deschrijver, D. ; Dhaene, T. ; Rolain, Y.
Author_Institution :
Dept. of Math. & Comput. Sci., Univ. of Antwerp, Antwerp
Abstract :
Vector fitting is a rational approximation technique, which is frequently used to calculate accurate macromodels of electrical and electronical structures. The robustness of the technique is obtained by combining the use of a weighted iterative least squares scheme and a well-chosen partial fraction basis. It was discussed in that numerical problems may occur if poles of higher-order multiplicities are required to approximate a frequency response. This paper shows that the orthonormal vector fitting technique [3] solves this problem in a fundamental way.
Keywords :
frequency response; iterative methods; least squares approximations; transfer functions; vectors; frequency response; higher-order pole multiplicities; numerical problem; orthonormal vector fitting; partial fraction; rational approximation technique; transfer function macromodeling; weighted iterative least squares scheme; Clustering algorithms; Computer science; Cost function; Equations; Frequency response; Least squares approximation; Least squares methods; Mathematics; Robustness; Transfer functions;
Conference_Titel :
Signal Propagation on Interconnects, 2007. SPI 2007. IEEE Workshop on
Conference_Location :
Genova
Print_ISBN :
978-1-4244-1223-5
Electronic_ISBN :
978-1-4244-1224-2
DOI :
10.1109/SPI.2007.4512207
