Protocols for solving Equations (1.1)-(1.5) can mostly be placed into two broad categories, often denoted as discrete and continuous . For discrete analysis, a longstanding favored approach is to estimate or hypothesize initial values for a set of component decay rates and amplitudes, and then to refine those initial values using a least-squares minimization procedure. Given reasonable initial parameter values, computational aspects of the minimization problem are not currently challenging thanks to fast computers and efficient algorithms. However, there is continuing development of principles and methods for discovering the appropriate number of discrete components, for finding initial parameter values, and for alternatives to least-squares parameter estimation. Approaches to finding discrete solutions based on autoregressive methods, and in particular the Matrix Pencil Method , appear to be particularly successful, and are adopted here.