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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 Pole–zero plot ： ウィキペディア英語版 Pole–zero plot In mathematics, signal processing and control theory, a pole–zero plot is a graphical representation of a rational transfer function in the complex plane which helps to convey certain properties of the system such as: * Stability * Causal system / anticausal system * Region of convergence (ROC) * Minimum phase / non minimum phase A pole-zero plot shows the location in the complex plane of the poles and zeros of the transfer function of a dynamic system, such as a controller, compensator, sensor, equalizer, filter, or communications channel. By convention, the poles of the system are indicated in the plot by an X while the zeroes are indicated by a circle or O. A pole-zero plot can represent either a continuous-time (CT) or a discrete-time (DT) system. For a CT system, the plane in which the poles and zeros appear is the s plane of the Laplace transform. In this context, the parameter ''s'' represents the complex angular frequency, which is the domain of the CT transfer function. For a DT system, the plane is the z plane, where ''z'' represents the domain of the Z-transform. == Continuous-time systems == In general, a rational transfer function for a continuous-time LTI system has the form: :$H(s)\; =\; \backslash frac$ = \over s^N + \displaystyle\sum_^ } = \frac + s^N} where * $B$ and $A$ are polynomials in $s$, * $M$ is the order of the numerator polynomial, * $b\_m$ is the ''m''-th coefficient of the numerator polynomial, * $N$ is the order of the denominator polynomial, and * $a\_n$ is the ''n''-th coefficient of the denominator polynomial. Either M or N or both may be zero, but in real systems, it should be the case that $M\; \backslash le\; N$; otherwise the gain would be unbounded at high frequencies. 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「Pole–zero plot」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.