Characteristic-function approach to parameter extraction for asymmetric equivalent circuit of on-chip spiral inductors

A novel approach to parameter extraction for an asymmetric equivalent circuit of silicon-on-chip spiral inductors based on measured S-parameter is proposed. The current methodology is based on the linear dependence of a set of characteristic functions on other functions or variables such as omega
²
in a certain frequency range, and the model parameters can be derived from the corresponding linear coefficients. As applied to an asymmetric single-pi equivalent circuit, the extracted parameters can simulate the inductor with a high precision up to 10 GHz