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Building Lumped Models for Measured Passive mm-wave Components

This paper presents a synthesis flow for building lumped circuit models of arbitrary complexity for mm-wave IC passive components, based on S-parameters obtained by measurements or electromagnetic (EM) field simulations. Lumped circuit models are needed in time-domain simulations, or to speed up the fine-tuning of passive circuit blocks, as iterating is much faster in circuit simulators than in EM simulator. Modeling algorithm is implemented in MATLAB, and the design flow has a few new features. The device model is given by Spice netlist, and its structure or complexity is not limited. Differential and common mode forms of admittance parameters are used to simplify solving the initial model component values that are then refined manually or by numerical optimization. The flow is illustrated by modeling a parallel LC resonator, whose response has been measured from 1 to 40 GHz.