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Transfer function

About: Transfer function is a research topic. Over the lifetime, 14362 publications have been published within this topic receiving 214983 citations. The topic is also known as: system function & network function.


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Journal ArticleDOI
TL;DR: In this paper, a second-order algorithm is given for optimal model order reduction of continuous single-input/single-output systems, which is based on the known explicit solution of the governing Lyapunov equation, which yields analytical expressions for the first and second derivatives of the performance index with respect to the residues and poles of the reduced order model.
Abstract: A second-order algorithm is given for optimal model order reduction of continuous single-input/single-output systems. Given a transfer function of order n, it finds the transfer function of a model of order m

48 citations

Journal ArticleDOI
TL;DR: A model to simulate an interference pattern in the image plane as it is obtained by a vertical scanning white-light interferometer is introduced in order to overcome the limitation of small surface amplitudes.
Abstract: White-light interferometers are widely used for high-accuracy topography measurement in industrial and scientific applications. A common way to characterize a white-light interferometer is to assume small surface amplitudes resulting in linear transfer characteristics described by the instrument transfer function (ITF). However, the well-known batwing effect gives rise to systematic errors, causing extra nonlinearity to the ITF. In this paper a model to simulate an interference pattern in the image plane as it is obtained by a vertical scanning white-light interferometer is introduced in order to overcome the limitation of small surface amplitudes. Repeating the simulation procedure for different height positions of the object results in an image stack that can be analyzed by the same algorithms as real measurement data. The simulation results agree with experimental observations: the batwing effect occurs in certain situations and the correct amplitude of a rectangular grating structure can be obtained as long as the structure is optically resolved. Both simulation, as well as experimental results, provide transfer characteristics of broader bandwidth than predicted by theoretical approaches based on linear system behavior.

48 citations

Journal ArticleDOI
TL;DR: In this paper, an extension of the Symmetrical Optimum criterion for the design of PID type-p closed-loop control systems is proposed, which is characterized by the presence of p integrators in the open-loop transfer function.

48 citations

Journal ArticleDOI
TL;DR: A simple multiphase sinusoidal oscillator based on inverting operational amplifiers (OPAs) that produces even-phase equal amplitude signals that are equally spaced in phase from low-impedance sources is described.
Abstract: This paper describes a simple multiphase sinusoidal oscillator based on inverting operational amplifiers (OPAs). The system comprises n cascaded inverting first-order low-pass stages and produces n odd-phase equal amplitude signals that are equally spaced in phase, from low-impedance sources. The basic scheme utilizes self-oscillation and can produce 2n even-phase signals by the inclusion of n unity gain inverters. A modified system employing signal injection through the associated phase-shifting network is also discussed. The negative feedback around the OPA's results in extremely good frequency and distortion performances that are unmatched by other multiphase system implementations. Moreover, the system has a large output voltage swing, high current drive capacity, and utilizes readily available components.

48 citations

Journal ArticleDOI
TL;DR: Using a unitary framework for continuous-time and discrete-time systems, necessary and sufficient conditions for positive realizability are derived by means of convex analysis for linear systems in which a sign pattern is imposed on the realization.

48 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023351
2022810
2021329
2020421
2019461
2018493