A Scalable Reduced-Order Modeling Algorithm for the Construction of Parameterized Interconnect Macromodels from Scattering Responses

This paper introduces an algorithm for the construction of reduced-order macromodels of electrical interconnects starting from their sampled scattering responses. The produced macromodels embed in a closed-form an approximate dependence of the model equations on external parameters such as geometrical dimensions or material characteristics. The resulting parameterized models are easily cast as parameter-dependent SPICE netlists, which can be used for system-level Signal and Power Integrity assessment via numerical simulation, including sensitivity and optimization tasks. The main novel contribution of this work is the formulation of the model fitting equations in a decoupled form, which allows for a very efficient implementation in case of interconnects with a large number of interface ports, as typically required in Signal and Power Integrity applications. The parameterized models are guaranteed stable and passive for any configuration of the external parameters, thus ensuring stable transient numerical simulations.