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- Title
Passive Synthesis of a Class of Fractional Immittance Function Based on Multivariable Theory.
- Authors
Liang, Guishu; Jing, Yongming; Liu, Chang; Ma, Long
- Abstract
Passive synthesis of fractional driving-point immittance function is one of the most important research topics in fractional circuits. The synthesis method for a class of fractional driving-point immittance function is proposed in this paper. Firstly, the immittance function of passive fractional circuit is transformed to multivariable positive-real function by proper variable substitution. Secondly, to synthesize the function, except one variable, other high-order variables are transformed to the combination of products of different one-order variables by introducing new variables. Thirdly, synthesize the new function by traditional method. At last, substitute elements inversely twice and the final circuit for fractional driving-point immittance function can be achieved. The method is verified by giving synthesis demonstration.
- Subjects
FRACTIONAL calculus; MULTIVARIABLE calculus; MATHEMATICAL variables; MATHEMATICAL transformations; MATHEMATICS
- Publication
Journal of Circuits, Systems & Computers, 2018, Vol 27, Issue 5, p-1
- ISSN
0218-1266
- Publication type
Article
- DOI
10.1142/S0218126618500743