Sparse noise-compliant synthesis of scattering macromodels via resistance extraction

The construction of black-box macromodels, either from frequency responses or via model order reduction, has become a standard practice in Computer-Aided Design flows of digital, analog, mixed-signal and radio-frequency systems. In order to be proficiently used, such macromodels need to be synthesized into equivalent circuits that are compatible with common circuit solvers. In this work, we propose a classical synthesis approach based on resistance extraction, which is here revisited and suitably modified to achieve sparsity, or equivalently, to produce a minimum number of basic circuit elements in the final netlist. The proposed approach produces circuit equivalents that are compatible with any type of circuit simulation, including transient and noise analysis.