平坦な通過域特性を持つ複素RiCRフィルタの一構成

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: 2017/01/01

タイトル：平坦な通過域特性を持つ複素RⁱCRフィルタの一構成

タイトル(英語): Synthesis of a Complex RⁱCR Filter with Flat Passband Characteristics

著者名: 藤井　達哉（筑波大学　システム情報工学研究科），庄野　和宏（筑波大学　システム情報工学研究科）

著者名(英語): Tatsuya Fujii (Graduate School of Systems and Information Engineering, University of Tsukuba), Kazuhiro Shouno (Graduate School of Systems and Information Engineering, University of Tsukuba)

キーワード: RⁱCR，複素，フィルタ，OTA，通過域平坦　　RⁱCR，complex，filter，OTA，flat passband

要約(英語): In this paper, a synthesis of a RⁱCR filter with flat passband characteristics is proposed. Because the RⁱCR filter include no inductors, we can reduce the required elements when we realize the filter using OTA's and C's. The transfer function Tc of the proposed circuit is obtained through the frequency transformation based on the special case of BLLT. Its prototype transfer function Tb is also a complex transfer function and has multiple transmission zeros placed at ω=-1 and 1. The kernel function of Tb is obtained by an analytical method not by numerical calculations depending on computers as used in many of the conventional methods. The proposed filter can be designed through a graphical method based on the relationship among ωc/bw (selectivity), ωc (center frequency) and Amin (minimum attenuation). The proposed circuit can be composed of 2n+4 OTAs and 2n capacitors. As an example, a 5th-order RⁱCR filter is designed. The proposed filter is compared with the complex Butterworth filter from the view point of the frequency characteristics and the number of the required elements. It is shown that the proposed RⁱCR filter has maximally flat response in the passband.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.137 No.1 （2017） 大特集：電子・情報・システム部門誌 30周年記念「電子・情報・システム技術によるイノベーション」

本誌掲載ページ: 26-32 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/137/1/137_26/_article/-char/ja/