Topic
Describing function
About: Describing function is a research topic. Over the lifetime, 1742 publications have been published within this topic receiving 26702 citations.
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TL;DR: In the letter, it is shown that the describing function for a single-valued nonlinearity, whose input is a signal plus other unrelated signals, is bounded by the non linearity slope, rather than its sector, as for asingle-input signal.
Abstract: In the letter, it is shown that the describing function for a single-valued nonlinearity, whose input is a signal plus other unrelated signals, is bounded by the nonlinearity slope, rather than its sector, as for a single-input signal.
2 citations
01 Sep 1984
TL;DR: This chapter describes the method used to obtain visual-cortical describing functions, results for different subjects under different cognitive processing demands, and discusses of what these results indicate.
Abstract: The thrust of the present work is to explore the utility of using a sum of sinusoids (seven or more) to obtain an evoked response and, furthermore, to see if the response is sensitive to changes in cognitive processing. Within the field of automatic control system technology, a mathematical input/output relationship for a sinusoidally stimulated nonlinear system is defined as describing function. Applying this technology, sum of sines inputs to yield describing functions for the visual-cortical response have been designed. What follows is a description of the method used to obtain visual-cortical describing functions. A number of measurement system redesigns were necessary to achieve the desired frequency resolution. Results that guided and came out of the redesigns are presented. Preliminary results of stimulus parameter effects (average intensity and depth of modulation) are also shown.
2 citations
01 Jan 2009
TL;DR: In this paper, a sinusoidal nonlinear oscillator with adjustable frequency was studied and the frequency of oscillation was adjusted via the change of the center frequency of the second order band-pass filter, while keeping the quality factor constant.
Abstract: A sinusoidal nonlinear oscillator with adjustable frequency was studied. The frequency of oscillation was adjusted via the change of the center frequency of the second order band-pass filter, while keeping the quality factor constant. The describing function method was used to predict the limit cycles and to analyze the stability of oscillation. The proposed circuit consisted of two important parts in the feedback connection configuration: an operational transconductance amplifier (OTA) as a nonlinear element in feedback path; and a bandpass filter in the feedforward path. The experimental results were simulated by the ORCAD CAPTURE and MATLAB computer programs.
2 citations
TL;DR: It is shown that describing function techniques can be readily used to evaluate the stability and frequency response of control systems containing nonlinear elements and elements operating on discrete as well as continuous signals.
2 citations
06 Jan 2011
TL;DR: In this article, the authors mainly discussed calculation on resonance overvoltage adopting describing function method in control theory, the pressure variable describes function in which makes the calculation procedure more easy.
Abstract: This paper mainly discusses calculation on resonance over-voltage adopting describing function method in control theory, the pressure variable describes function in which makes the calculation procedure more easy. On frequency domain field, small parameter method in nonlinear vibration theory is referred to analyze resonant frequency, average method is used to analyze 1/3 resonant frequency.
2 citations