CAD of MIMO systems by reduced order modeling

The behavioral simulation of large-scale analog circuits is very expensive. Instead of the circuit complex model, reduction of the computing effort implies using a macromodel capable to capture the behaviors of the original circuit while preserving its essential properties. Building such a model is based on a simplified and unitary description of the circuit, by establishing a simple relationship between the input/output variables. In this paper, the model order reduction techniques based on method projection in Krylov subspace are presented in two implementation: on state equations and on semi-sate equations of the analog circuits. Illustrative simulations are performed that allow a comparison of the standard methods based on Padé approximation with Krylov subspace methods, and some important conclusions.