The present invention is a novel device, system, and method for determining the damped natural frequencies of a dynamic system whose characteristics are available in the form of a “frequency response function” FRF. According to an exemplary embodiment of the present invention, the method identifies the dampened natural frequencies associated with the poles and zeros of a transfer function. The method is especially useful for analysis of measurements that contain some degree of contamination due to noise or non-linear effects. It is based on a set of rules that may be more successful than a direct approach based on a least squares criteria.