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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Higher-order sinusoidal input describing function ： ウィキペディア英語版 Higher-order sinusoidal input describing function ==Definition== The higher-order sinusoidal input describing functions (HOSIDF) were first introduced〔P.W.J.M. Nuij, O.H. Bosgra, M. Steinbuch, Higher Order Sinusoidal Input Describing Functions for the Analysis of Nonlinear Systems with Harmonic Responses, Mechanical Systems and Signal Processing, 20(8), 1883–1904, (2006)〕 by (dr. ir. P.W.J.M. Nuij ). The HOSIDFs are an extension of the sinusoidal input describing function〔Gelb, A., and W. E. Vander Velde: Multiple-Input Describing Functions and Nonlinear System Design, McGraw Hill, 1968.〕 which describe the response (gain and phase) of a system at harmonics of the base frequency of a sinusoidal input signal. The HOSIDFs bear an intuitive resemblance to the classical frequency response function and define the periodic output of a stable, causal, time invariant nonlinear system to a sinusoidal input signal: $u(t)\; =\; \backslash gamma\; \backslash sin(\backslash omega\_0\; t\; +\; \backslash varphi\_0)$ This output is denoted by $y(t)$ and consists of harmonics of the input frequency: $y(t)\; =\; \backslash sum\backslash limits\_^\; |H\_k(\backslash omega\_0,\backslash gamma)|\backslash gamma^k\; \backslash cos\backslash big(k(\backslash omega\_0t\; +\; \backslash varphi\_0)\; +\; \backslash angle\; H\_k(\backslash omega\_0,\backslash gamma)\; \backslash big)$ Defining the single sided spectra of the input and output as $U(\backslash omega)$ and $Y(\backslash omega)$, such that $|U(\backslash omega\_0)|=\backslash gamma$ yields the definition of the k-th order HOSIDF: $H\_k(\backslash omega\_0,\backslash gamma)\; =\; \backslash frac$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Higher-order sinusoidal input describing function」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.