Modeling Partial Differential Equations in VHDL-AMS

摘要

This paper discusses a problem of modeling distributed physics effects described by partial differential equations (PDE's) in VHDL-AMS, a powerful modeling language for mixed-signal systems. First, we summarize the requirements for PDE support. Second, we demonstrate with the example of a distributed transmission line how to model PDE's in an existing VHDL-AMS by applying spatial discretization to system equations. Third, we propose a language extension needed to support PDE's. Our work should be perceived as a first step towards an accurate description and modeling of coupled multi-physics systems in VHDL-AMS.