Approximated Fractional-Order Inverse Chebyshev Lowpass Filters

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• 作者：Todd J. Freeborn ; Ahmed S. Elwakil…
• 关键词：Fractional ; order circuits ; Fractional ; order filters ; Analog filter circuits ; Fractional calculus
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：35
• 期：6
• 页码：1973-1982
• 全文大小：2,143 KB
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• 作者单位：Todd J. Freeborn (1)
  Ahmed S. Elwakil (2)
  Brent Maundy (3)
  
  1. Department of Electrical and Computer Engineering, University of Alabama, Tuscaloosa, USA
  2. Department of Electrical and Computer Engineering, University of Sharjah, Sharjah, United Arab Emirates
  3. Department of Electrical and Computer Engineering, University of Calgary, Calgary, Canada
  
• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  
• 出版者：Birkh盲user Boston
• ISSN：1531-5878

文摘

In this paper we use a least-squares fitting routine to approximate the stopband ripple characteristics of fractional-order inverse Chebyshev lowpass filters which have fractional-order zeros and poles. MATLAB simulations of \((1+\alpha )\)-order lowpass filters with fractional steps from \(\alpha =0.1\) to \(\alpha =0.9\) are given as examples. SPICE simulations of 1.2-, 1.5-, and 1.8-order lowpass filters and experimental results of a 1.5-order filter using approximated fractional-order capacitors in a Multiple-Input Biquad circuit validate the implementation of these circuits.