片側接地の虚数抵抗を用いた複素R<sup>i</sup>CRフィルタの一構成

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書誌事項

タイトル別名
  • Synthesis of a Complex R<sup>i</sup>CR Filter Using Grounded Imaginary Resistors
  • 片側接地の虚数抵抗を用いた複素RiCRフィルタの一構成
  • カタガワ セッチ ノ キョスウ テイコウ オ モチイタ フクソ RiCR フィルタ ノ イチ コウセイ

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説明

<p>In this paper, a synthesis of a complex RiCR filter is proposed. The proposed prototype filter includes terminating resistors, floating capacitors and grounded imaginary resistors only. Because the proposed RiCR filter includes no floating imaginary resistors, we can reduce the active elements when we realize the filter using OTA's and capacitors. The proposed prototype filter is obtained through a frequency transformation and an equivalent transformation using imaginary gyrators. Using imaginary gyrators composed of imaginary resistors, we can transform all the inductors into capacitors. The condition for reducing the floating type imaginary resistors is described. The proposed method is based on symmetry of the circuit configuration. The proposed method can be applied to not only odd-order filters but also even-order filters. As an example, a 5th-order complex RiCR filter is designed. The proposed filter is compared with the conventional ones from the view points of the gain characteristics, the number of the required elements and element value spread.</p>

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