On Resonance Extraction and Waveform Fitting for Transient Data; Prony's Method

摘要

This report explains the basic philosophy and mathematics of waveform fitting with complex exponentials, when the available data points are more than the number needed for a perfect fit. The connection with Prony's method is developed, some recent new work by Auton and Van Blaricum is summarized, and an eigenvector generalization of linear prediction is presented. Effort is still continuing in this important field of resonance estimation and extraction, and answers to some important questions on sensitivity, sampling rate, and bias are still not available. (Author)