Double Exponent Fractional-Order Filters: Approximation Methods and Realization

Double Exponent Fractional-Order Filters: Approximation Methods and Realization
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双指数分数阶滤波器:近似方法与实现

DOI:
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发表时间:
2020
期刊:
Circuits Syst. Signal Process.
影响因子:
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通讯作者:
A. Elwakil
A. Elwakil
中科院分区:
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文献类型:
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作者:
S. Kapoulea;C. Psychalinos;A. Elwakil

文献摘要

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这项工作的主要目标是利用不同的工具,以近似一般的双指数分数阶传递函数。通过适当地选择该函数的两个分数阶,可以导出不同类型的滤波器。所研究的近似工具是基于曲线拟合的工具或Padé近似工具,并且在所有情况下导出的近似传递函数具有有理整数阶多项式的形式,这可以很容易地以电子方式实现。
The main goal of this work is to exploit different tools in order to approximate a general double exponent fractional-order transfer function. Through the appropriate selection of the two fractional orders of this function, different types of filters can be derived. The investigated approximation tools are either curve fitting based tools or the Padé approximation tool, and the derived approximated transfer functions in all cases have the form of rational integer-order polynomials, which can be easily realized electronically.