Topic
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.
Papers published on a yearly basis
Papers
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TL;DR: A new method is proposed for dominant pole-zero analysis of large linear microwave circuits containing both lumped and distributed elements based on a multipoint Pade approximation, which provides a more efficient computation of both transient and frequency domain responses than conventional simulators.
Abstract: A new method is proposed for dominant pole-zero (or pole-residue) analysis of large linear microwave circuits containing both lumped and distributed elements. The method is based on a multipoint Pade approximation. It finds a reduced-order rational s-domain transfer function using a data set obtained by solving the circuit at only a few frequency points. We propose two techniques in order to obtain the coefficients of the transfer function from the data set. The proposed method provides a more efficient computation of both transient and frequency domain responses than conventional simulators and more accurate results than the techniques based on single-point Pade approximation such as asymptotic waveform evaluation. >
71 citations
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TL;DR: It is shown that it is sufficient to sample at twice the maximum frequency of the input signal.
Abstract: Volterra systems generally produce-due to nonlinearity-an output signal with a higher frequency range when compared with the input signal. Hence, it seems necessary to sample the input and output signals at twice the maximum frequency of the output signal. The article shows that it is sufficient to sample at twice the maximum frequency of the input signal. A discrete-time Volterra system also produces the additional frequency components that appear-due to aliasing-at the sampled output of a continuous-time Volterra system with an equivalent transfer function.
71 citations
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28 Jan 2005
TL;DR: In this paper, a power supply comprises at least one power switch adapted to convey power between input and output terminals of the power supply, and a digital controller consisting of an analog-to-digital converter providing a digital error signal representing a voltage difference between the output measurement and a reference value.
Abstract: A power supply comprises at least one power switch adapted to convey power between input and output terminals of the power supply, and a digital controller adapted to control operation of the at least one power switch responsive to an output measurement of the power supply. The digital controller comprises an analog-to-digital converter providing a digital error signal representing a voltage difference between the output measurement and a reference value, a digital filter providing a digital control output based on a sum of previous error signals and previous control outputs, an error controller adapted to modify operation of the digital filter upon an error condition, and a digital pulse width modulator providing a control signal to the power switch having a pulse width corresponding to the digital control output. The analog-to-digital converter further comprises a windowed flash analog-to-digital converter having a transfer function defining a relationship between the voltage difference and corresponding digital values. The transfer function provides a substantially linear region at a center of a corresponding error window, including a first step size in the center of the error window and at least one other step size in a peripheral region of the error window that is larger than the first step size. The first step size and the other step sizes may each reflect a linear relationship between the voltage difference and the corresponding digital values. Alternatively, the first step size reflects a linear relationship between the voltage difference and the corresponding digital values, and the other step sizes each reflect a non-linear relationship between the voltage difference and the corresponding digital values.
71 citations
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TL;DR: An optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function is provided and a simple analog circuit can serve as a fundamental analog fractional system.
Abstract: This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems for a given frequency band by a rational function are presented. The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase error between the irrational transfer function and its rational approximation. A simple analog circuit which can serve as a fundamental analog fractional system is obtained. Illustrative examples are presented to show the quality and usefulness of the approximation method.
71 citations
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TL;DR: In this paper, a new way to implement current-mode continuous-time filters using operational transconductance amplifiers (OTAs) is presented based on the simulation of a signal flow graph on the all-pole lowpass transfer function.
Abstract: A new way to implement current-mode continuous-time filters is presented which uses operational transconductance amplifiers (OTAs). Based on the simulation of a signal flow graph on the all-pole lowpass transfer function, the two current-mode realizations of high-order OTA-C filters are obtained.
71 citations