Abstract
In this work we present a synthesis method for the design of RF and microwave Active Inductors (AI) based on S-parameters and conformal transformations. The proposed approach allows to study and define the desired AI characteristics directly managing the transfer function of an equivalent two-ports network, thus overcoming the difficulties relative to the characterization of the classical closed-loop architecture that characterizes both the proposed AI architecture and the classical gyrator-C capacitor scheme. By analyzing the obtained AI open-loop transfer function, it is possible to define the design criteria useful to obtain a single port equivalent network showing an inductive behavior at the desired frequency. An example of application of the proposed approach is also provided and the obtained AI is used for the design of a low-power active filter. Measurements are in good agreement with the simulation results, demonstrating the feasibility of the proposed design approach.
Highlights
In the integration process of modern RF and microwave systems, some difficulties arise with the use of passive elements and they are due to technology limitations that allow fabricating components with a low-quality factor and high tolerances
We propose a generalized synthesis method for the design of a gyrator-based Active Inductors (AI) by means of Scattering parameters and conformal transformations
By using the conformal transformations above described, the open-loop transfer function corresponds to the reflection coefficient seen at the input port of the closed-loop graph (Fig. 3a), and it finds a counterpart in the AI general structure of Fig. 1b
Summary
In the integration process of modern RF and microwave systems, some difficulties arise with the use of passive elements and they are due to technology limitations that allow fabricating components with a low-quality factor and high tolerances. A phase shift of exactly 90 degrees provides an ideal equivalent inductive behavior at the input port of the active network conceived (Fig. 1b).
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