MPDE methods for efficient analysis of wireless systems

Recently, the MPDE (multirate partial differential equation) formulation was introduced for analysing circuits with widely-separated time scales. A striking feature of the MPDE is that it lends to efficient methods for simulating several categories of circuits that are difficult or impossible to analyse by existing simulation techniques. In this paper, numerical methods based on the MPDE are applied to several subsystems important in portable wireless systems, namely DC-DC power converters, switched-capacitor filters and RF mixers. Simulations indicate speedups of more than two orders of magnitude over traditional methods. It is also shown how the MPDE can be used to abstract compact high-level models from detailed circuit descriptions of wireless system components