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1887

access icon free On boundary analysis for derivative of driving point impedance functions and its circuit applications

© The Institution of Engineering and Technology
Received 31/01/2018, Accepted 03/08/2018, Revised 24/04/2018, Published 08/08/2018

In this study, a boundary analysis is carried out for the derivative of driving point impedance (DPI) functions, which is mainly used for the synthesis of networks containing resistor-inductor, resistor–capacitor and resistor–inductor–capacitor circuits. It is known that DPI function, , is an analytic function defined on the right half of the s-plane. In this study, the authors present four theorems using the modulus of the derivative of DPI function, , by assuming the function is also analytic at the boundary point on the imaginary axis and finally, the sharpness of the inequalities obtained in the presented theorems are proved. It is also shown that simple inductor–capacitor tank circuits and higher-order filters are synthesised using the unique DPI functions obtained in each theorem.

Inspec keywords: LC circuits; RC circuits; network synthesis; electric impedance

Other keywords: point impedance functions; analytic function; boundary point; simple inductor–capacitor tank circuits; boundary analysis; resistor–capacitor; resistor-inductor; circuit applications; s-plane; higher-order filters; resistor–inductor–capacitor circuits; DPI function

Subjects: General circuit analysis and synthesis methods

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