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.

Return-difference and return-ratio matrices and their use in analysis and design of multivariable feedback control systems

Abstract: Bode's concepts of return difference and return ratio are shown to play a fundamental role in the analysis of multivariable feedback control systems. Matrix transfer functions are regarded as operators on linear vector spaces over the field of rational functions in the complex variable s. The eigenvalues of such operators are identified as characteristic transfer functions. The corresponding characteristic frequency responses provide a simple and natural link between classical single-loop design techniques and multivariable-system feedback theory. These concepts then serve as a unifying thread in a coherent and systematic discussion of multivariable-feedback-system design techniques.

Dynamic Modeling and Control of Engineering Systems

Abstract: Preface 1. Introduction 2. Mechanical systems 3. Mathematical models 4. Analytical solutions of system input-output equations 5. Numerical solutions of ordinary differential equations 6. Simulation of dynamic systems 7. Electrical systems 8. Thermal systems 9. Fluid systems 10. Mixed systems 11. Transfer functions 12. Frequency analysis 13. Closed-loop systems and system stability 14. Control systems 15. Analysis of discrete-time systems 16. Digital control systems Appendix 1. Fourier series and the Fourier transformation Appendix 2. Laplace transformations Appendix 3. Matlab tutorial Appendix 4. Simulink tutorial Index.

Analysis of periodically switched linear circuits

Abstract: A new approach, to the exact analysis of linear circuits containing periodically operated switches is presented. After reformulation of the state equations conventional Fourier analysis is used to determine the response to arbitrary deterministic or stochastic inputs. The analysis is applicable also to improper circuits and circuits causing discontinuities in the state variables at the switching instants. The switches may operate in an arbitrary fashion with a common switching period. Explicit closed form solutions for both the (Fourier coefficients of the) periodically time-varying transfer function \hat{H}(f, t) and the impulse response h(t,\tau) are derived. These results are most suitable for computer aided design. Applications to switched filters and modulators are given.

Unified Frequency-Domain Analysis of Switched-Series- $RC$ Passive Mixers and Samplers

Abstract: A wide variety of voltage mixers and samplers are implemented with similar circuits employing switches, resistors, and capacitors. Restrictions on duty cycle, bandwidth, or output frequency are commonly used to obtain an analytical expression for the response of these circuits. This paper derives unified expressions without these restrictions. To this end, the circuits are decomposed into a polyphase multipath combination of single-ended or differential switched-series-RC kernels. Linear periodically time-variant network theory is used to find the harmonic transfer functions of the kernels and the effect of polyphase multipath combining. From the resulting transfer functions, the conversion gain, output noise, and noise figure can be calculated for arbitrary duty cycle, bandwidth, and output frequency. Applied to a circuit, the equations provide a mathematical basis for a clear distinction between a “mixing” and a “sampling” operating region while also covering the design space “in between.” Circuit simulations and a comparison with mixers published in literature are performed to support the analysis.

A deterministic frequency-domain model for the indoor power line transfer function

Abstract: The characterization of the transfer function of the power line (PL) channel is a nontrivial task that requires a truly interdisciplinary approach. Until recently, a common attribute and limitation of existing models for the PL channel transfer function lay in the phenomenological or statistical approach usually followed. This approach allows one to describe the channel only partially, e.g., as dominated by multipath-like effects, and prevents one from unveiling special properties of it. Multiconductor transmission line (MTL) theory was recently found by the authors to be a useful and accurate tool in modeling the PL transfer function while, at the same time, taking into account the wiring and grounding practices mandated by several regulatory bodies for commercial and residential premises. Crossing several layers of abstraction and following a bottom-up approach, complex circuit-level models originating from MTL theory can be manipulated and represented in terms of cascaded two-port networks (2PNs), thus allowing one to compute a priori and in a deterministic fashion the transfer function of any PL link. In the present contribution, we present additional analysis and data that validate the accuracy of the MTL approach and further justify its use in the PL channel context. Moreover, we also describe in detail the methodology to follow for modeling both grounded and ungrounded PL links in a unified framework. A consequence of the validity of the proposed modeling is that it can facilitate the process of standardization of the PL transfer function, an important step toward the availability of a commonly agreed upon (set of) channel transfer functions.