平坦な通過域特性を持つ複素R<sup>i</sup>CRフィルタの一構成  [in Japanese] Synthesis of a Complex R<sup>i</sup>CR Filter with Flat Passband Characteristics  [in Japanese]

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Author(s)

    • 藤井 達哉 Fujii Tatsuya
    • 筑波大学 システム情報工学研究科 Graduate School of Systems and Information Engineering, University of Tsukuba
    • 庄野 和宏 Shouno Kazuhiro
    • 筑波大学 システム情報工学研究科 Graduate School of Systems and Information Engineering, University of Tsukuba

Abstract

<p>In this paper, a synthesis of a R<sup>i</sup>CR filter with flat passband characteristics is proposed. Because the R<sup>i</sup>CR filter include no inductors, we can reduce the required elements when we realize the filter using OTA's and C's. The transfer function <i>T<sub>c</sub></i> of the proposed circuit is obtained through the frequency transformation based on the special case of BLLT. Its prototype transfer function <i>T<sub>b</sub></i> is also a complex transfer function and has multiple transmission zeros placed at <i>ω</i>=-1 and 1. The kernel function of <i>T<sub>b</sub></i> 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 <i>ω<sub>c</sub></i>/<i>b<sub>w</sub></i> (selectivity), <i>ω<sub>c</sub></i> (center frequency) and <i>A<sub>min</sub></i> (minimum attenuation). The proposed circuit can be composed of 2<i>n</i>+4 OTAs and 2<i>n</i> capacitors. As an example, a 5th-order R<sup>i</sup>CR 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 R<sup>i</sup>CR filter has maximally flat response in the passband.</p>

Journal

  • IEEJ Transactions on Electronics, Information and Systems

    IEEJ Transactions on Electronics, Information and Systems 137(1), 26-32, 2017

    The Institute of Electrical Engineers of Japan

Codes

  • NII Article ID (NAID)
    130005188769
  • NII NACSIS-CAT ID (NCID)
    AN10065950
  • Text Lang
    JPN
  • ISSN
    0385-4221
  • NDL Article ID
    027833831
  • NDL Call No.
    Z16-795
  • Data Source
    NDL  J-STAGE 
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