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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 Minimum phase ： ウィキペディア英語版 Minimum phase In control theory and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable.〔J. O. Smith III, ''(Introduction to Digital Filters with Audio Applications )'' (September 2007 Edition).〕 For example, a discrete-time system with rational transfer function $H(z)$ can only satisfy causality and stability requirements if all of its poles are inside the unit circle. However, we are free to choose whether the zeros of the system are inside or outside the unit circle. A system with rational transfer function is minimum-phase if all its zeros are also inside the unit circle. Insight is given below as to why this system is called minimum-phase. == Inverse system == A system $\backslash mathbb$ is invertible if we can uniquely determine its input from its output. I.e., we can find a system $\backslash mathbb\_$ such that if we apply $\backslash mathbb$ followed by $\backslash mathbb\_$, we obtain the identity system $\backslash mathbb$. (See Inverse matrix for a finite-dimensional analog). I.e., :$\backslash mathbb\_\; \backslash ,\; \backslash mathbb\; =\; \backslash mathbb$ Suppose that $\backslash tilde$ is input to system $\backslash mathbb$ and gives output $\backslash tilde$. :$\backslash mathbb\; \backslash ,\; \backslash tilde\; =\; \backslash tilde$ Applying the inverse system $\backslash mathbb\_$ to $\backslash tilde$ gives the following. :$\backslash mathbb\_\; \backslash ,\; \backslash tilde\; =\; \backslash mathbb\_\; \backslash ,\; \backslash mathbb\; \backslash ,\; \backslash tilde\; =\; \backslash mathbb\; \backslash ,\; \backslash tilde\; =\; \backslash tilde$ So we see that the inverse system $\backslash mathbb\_$ allows us to determine uniquely the input $\backslash tilde$ from the output $\backslash tilde$. 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「Minimum phase」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.