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Journal ArticleDOI

An improved technique for transfer function synthesis from frequency response data

P. Payne
- 01 Aug 1970 - 
- Vol. 15, Iss: 4, pp 480-483
TLDR
An improved curve fitting technique, based on modification of work by Levy and Sanathanan and Koerner, incorporating known physical constraints is described, showing that there is a much better guarantee of obtaining stable transfer functions and of predicting responses in other domains.
Abstract
An improved curve fitting technique, based on modification of work by Levy and Sanathanan and Koerner, incorporating known physical constraints is described. A comparison with experimental results on high-order systems shows that there is a much better guarantee of obtaining stable transfer functions and of predicting responses in other domains.

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Citations
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Journal ArticleDOI

Parametric identification of transfer functions in the frequency domain-a survey

TL;DR: This paper gives a survey of frequency domain identification methods for rational transfer functions in the Laplace (s) or z-domain through a study of the (equivalent) cost functions.
Journal ArticleDOI

A note on the derivation and use of reduced-order models

TL;DR: In view of the particular interest in the problem of reduced-order modeling in recent years, some considerations not sufficiently investigated in current literature are pointed out and a comprehensive set of references is given.
Journal ArticleDOI

A survey of simple transfer-function derivations from high-order state-variable models

TL;DR: In this paper, the problem of the derivation of simple transfer function models from high-order state variable models is reviewed, and methods of reduction are classified according to whether they involve 1) the computation of the time or frequency responses, 2) the derivations, as an intermediate step, of a transfer function which is the ratio of two polynomials, the denominator being of the same order as the state variable model, or 3) a set of characterising functions.
Journal ArticleDOI

Automatic test generation techniques for analog circuits and systems: A review

TL;DR: In this paper, a review and an assessment of techniques for automatic test generation for analog systems is presented, respectively, proceeding from approaches based on deterministic and probabilistic estimation, taxonomical and topological analyses.
Journal ArticleDOI

Practical transfer function estimation and its application to wide frequency range representation of transformers

TL;DR: In this article, a general methodology for estimation of transfer function parameters from frequency response data is presented, which is based on the solution of a linear least squares problem by the singular value decomposition (SVD).
References
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Journal ArticleDOI

Complex-curve fitting

TL;DR: In this paper, a method of evaluation of the polynomial coefficients is presented based on the minimization of the weighted sum of the squares of the errors between the absolute magnitudes of the actual function and the Polynomial ratio, taken at various values of frequency (the independent variable).
Journal ArticleDOI

Transfer function synthesis as a ratio of two complex polynomials

TL;DR: In this paper, the authors presented an analytic description of the complex transfer function superior to that given by minimization of the "weighted" sum of the squares of the errors in magnitude.