Title :
An Instrumental Variable Vector-Fitting Approach for Noisy Frequency Responses
Author :
Beygi, Amir ; Dounavis, Anestis
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Western Ontario, London, ON, Canada
Abstract :
This paper presents an efficient methodology to improve the convergence properties of vector fitting (VF) when the frequency data is contaminated by noise. The proposed algorithm uses an instrumental variable approach, which minimizes the biasing effect of the least squares solution caused by the noise of the data samples. These instruments are generated using the rational approximation of the previous iteration and does not increase the computational complexity of the VF algorithm. Numerical examples are provided to illustrate the validity of the proposed method.
Keywords :
computational complexity; convergence; curve fitting; frequency response; integrated circuit interconnections; least squares approximations; biasing effect; computational complexity; convergence properties; efficient methodology; frequency data; instrumental variable approach; instrumental variable vector-fitting approach; least squares solution; noisy frequency responses; rational approximation; vector fitting; Approximation algorithms; Equations; Instruments; Least squares approximation; Noise; Noise measurement; Circuit extraction; curve fitting; high-speed interconnects; instrumental variables; macromodeling; noise; rational approximation; vector fitting (VF);
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2012.2206399
