Application of the Principle of Analytic Continuation to Interpolate/Extrapolate System Responses Resulting in Reduced Computations—Part A: Parametric Methods

The objective of this review paper is to illustrate the principle of analytic continuation and provide its relationship to reduced rank modeling using the total least-squares-based singular value decomposition methodology. The principles are illustrated in the different domains using the matrix pencil method and the Cauchy method for various reduced computational applications. In a companion paper, the use of a nonparametric methodology will be illustrated.