Curve fitting, the process of finding a mathematical function to approximate a set of data points, has many applications in the fields of science and engineering. In the field of signal integrity in particular, a specific type of curve fitting, called rational function approximation, can be used as an intermediary step in creating an equivalent circuit model for a complex electronic network of package interconnects and power distribution networks. This thesis will discuss various methods of curve fitting, common pitfalls of these methods, and modifications that can be made to these existing methods to improve approximation accuracy. This thesis will then present a method of rational function approximation with accuracy comparable to industry standards and analyze the advantages of this method to other curve fitting methods.
