Macromodeling of transfer functions with higher-order pole multiplicities

Vector Fitting is a rational approximation technique, which is frequently used to calculate accurate macromodels of electrical and electronical structures [1]. 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 [2] 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