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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 Transfer function ： ウィキペディア英語版 Transfer function In engineering, a transfer function (also known as the system function〔Bernd Girod, Rudolf Rabenstein, Alexander Stenger, ''Signals and systems'', 2nd ed., Wiley, 2001, ISBN 0-471-98800-6 p. 50〕 or network function and, when plotted as a graph, transfer curve) is a mathematical representation for fit or to describe inputs and outputs of black box models. Typically it is a representation in terms of spatial or temporal frequency, of the relation between the input and output of a linear time-invariant system (LTI) with zero initial conditions and zero-point equilibrium.〔The Oxford Dictionary of English, 3rd ed., "Transfer function"〕 With optical imaging devices, for example, it is the Fourier transform of the point spread function (hence a function of spatial frequency) i.e., the intensity distribution caused by a point object in the field of view. A number of sources however use "transfer function" to mean some input-output characteristic in direct physical measures (e.g., output voltage as a function of input voltage of a two-port network) rather than its transform to the s-plane. == LTI systems == Transfer functions are commonly used in the analysis of systems such as single-input single-output filters, typically within the fields of signal processing, communication theory, and control theory. The term is often used exclusively to refer to linear, time-invariant systems (LTI), as covered in this article. Most real systems have non-linear input/output characteristics, but many systems, when operated within nominal parameters (not "over-driven") have behavior that is close enough to linear that LTI system theory is an acceptable representation of the input/output behavior. The descriptions below are given in terms of a complex variable, $s\; =\; \backslash sigma\; +\; j\; \backslash cdot\; \backslash omega$, which bears a brief explanation. In many applications, it is sufficient to define $\backslash sigma=0$ (and $s\; =\; j\; \backslash cdot\; \backslash omega$), which reduces the Laplace transforms with complex arguments to Fourier transforms with real argument ω. The applications where this is common are ones where there is interest only in the steady-state response of an LTI system, not the fleeting turn-on and turn-off behaviors or stability issues. That is usually the case for signal processing and communication theory. Thus, for continuous-time input signal $x(t)$ and output $y(t)$, the transfer function $H(s)$ is the linear mapping of the Laplace transform of the input, $X(s)\; =\; \backslash mathcal\backslash left\backslash$, to the Laplace transform of the output $Y(s)\; =\; \backslash mathcal\backslash left\backslash$: :$Y(s)\; =\; H(s)\backslash ;X(s)$ or :$H(s)\; =\; \backslash frac\; =\; \backslash frac\; \}\; \}$. In discrete-time systems, the relation between an input signal $x(t)$ and output $y(t)$ is dealt with using the z-transform, and then the transfer function is similarly written as $H(z)\; =\; \backslash frac$ and this is often referred to as the pulse-transfer function. 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「Transfer 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.