This paper presents a rapid and efficient modeling method, based on the microstrip lines theory, for the coupling between a device contact and the substrate backplane. We derive simple closed-form formulas to model spiral inductors as important substrate-noise sources in mixed-signal systems. The model has been verified via IE3D simulations up to 35 GHz, and is adaptable to CAD tools. We demonstrate that the accuracy of the proposed model is better than 8%.
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