Passive Rational Fitting of a Passive Network Transfer Function From Its Real Part
Woo, Anne Yuen-Ka
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https://hdl.handle.net/2142/81084
Description
Title
Passive Rational Fitting of a Passive Network Transfer Function From Its Real Part
Author(s)
Woo, Anne Yuen-Ka
Issue Date
2008
Doctoral Committee Chair(s)
Cangellaris, Andreas C.
Department of Study
Electrical and Computer Engineering
Discipline
Electrical and Computer Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
A methodology is presented to generate a rational function approximation of a passive network transfer function that makes use of sampled values of the transfer function's real part at a set of frequencies over the bandwidth of interest. For passive networks, real-part sufficiency describes the fact that the self and mutual impedance or admittance is uniquely defined in terms of the real part of the transfer function alone. Exploiting this property, we first demonstrate a methodology for the passive rational fitting of the self-impedance of a passive network. This is followed by the extension of the proposed methodology to the passive rational fitting of mutual impedances. Unlike other methodologies available, our methodology attempts to enforce passivity of the rational function by construction. Additionally, each of the elements of the matrix are fit independently in order to improve the numerical robustness and accuracy since the fitting is not restricted to a common set of stable poles. The accuracy and validity of the proposed methodology are demonstrated through their application to the fitting of several broadband, multiport transfer functions.
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