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

Volume

60

Issue

9

fYear

2012

Firstpage

2702

Lastpage

2712

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);

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2012.2206399

Filename

6241452