最大極半径指定可能な正実性制約の導出とローパス微分器設計への応用

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2016/02/01

タイトル(英語): Derivation of Positive Realness Constraint with Specified Maximum Pole Radius and its Application to Design of Low-pass Digital Differentiators

著者名: 入江　洋規（広島大学大学院工学研究科），中本　昌由（広島大学大学院工学研究院），山本　透（広島大学大学院工学研究院）

著者名(英語): Hiroki Irie (Graduate School of Engineering, Hiroshima University), Masayoshi Nakamoto (Dept. of System Cybernetics, Faculty of Engineering, Hiroshima University), Toru Yamamoto (Dept. of System Cybernetics, Faculty of Engineering, Hiroshima University)

キーワード: IIRディジタルフィルタ，分母多項式の正実性，最大極半径，ローパス微分器，制約付き2次計画問題　　IIR digital filters，positive realness of denominator polynomial，maximum pole radius，low-pass digital differentiators，constrained quadratic programming problem

要約(英語): We present derivation of a new positive realness constraint of denominator polynomial. The positive realness constraint constrains the condition of specified maximum pole radius. Using the constraint to the design of infinite impulse response (IIR) digital filters, we can not only get a robust stable filter but also reduce the peak errors in the transition zone. Also, we formulate the design problem of low-pass differentiators, which is a class of digital filters, without frequency sampling. Incorporating the positive realness constraints we derived with the design problem of low-pass differentiators, the design problem can be expressed in a constrained quadratic programming problem. Finally, we show several examples to demonstrate the effectiveness of the proposed method.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.136 No.2 （2016）

本誌掲載ページ: 123-132 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/136/2/136_123/_article/-char/ja/