A Closed-Form Design of Linear Phase FIR Band-Pass Maximally Flat Digital Differentiators with an Arbitrary Center Frequency

• YOSHIDA Takashi

  Department of Applied Electronics, Faculty of Industrial Science and Technology, Tokyo University of Science

• SUGIURA Yosuke

  Department of Applied Electronics, Faculty of Industrial Science and Technology, Tokyo University of Science

• AIKAWA Naoyuki

  Department of Applied Electronics, Faculty of Industrial Science and Technology, Tokyo University of Science

抄録

Maximally flat digital differentiators (MFDDs) are widely used in many applications. By using MFDDs, we obtain the derivative of an input signal with high accuracy around their center frequency of flat property. Moreover, to avoid the influence of noise, it is desirable to attenuate the magnitude property of MFDDs expect for the vicinity of the center frequency. In this paper, we introduce a design method of linear phase FIR band-pass MFDDs with an arbitrary center frequency. The proposed transfer function for both of TYPE III and TYPE IV can be achieved as a closed form function using Jacobi polynomial. Furthermore, we can easily derive the weighting coefficients of the proposed MFDDs using recursive formula. Through some design examples, we confirm that the proposed method can adjust the center frequency arbitrarily and the band width having flat property.

収録刊行物

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E97.A (12), 2611-2617, 2014

  一般社団法人 電子情報通信学会

キーワード

• digital differentiator
• maximally flat
• band-pass differentiators
• closed form
• arbitrary center frequency

詳細情報

• CRID: 1390282681287034752
• NII論文ID: 130004706428
• DOI: 10.1587/transfun.e97.a.2611
• ISSN: 17451337
• ISSN: 09168508
• Web Site: https://www.jstage.jst.go.jp/article/transfun/E97.A/12/E97.A_2611/_pdf
• 本文言語コード: en
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