Instantaneous parameters estimation algorithm for noisy AM-FM oscillatory signals

The paper addresses the problem of estimation of amplitude envelope and instantaneous frequency of an amplitude and frequency modulated (AM-FM) signal in noisy conditions. The algorithm proposed in the paper utilizes derivatives of the signal and is analogous to well-known Energy Separation Algorithms (ESA) based on Teager-Kaiser energy operator (TEO). The formulation of the algorithm is based on Prony´s method that provides estimates of phase and damping factor as well. Compared to ESA the proposed algorithm has a very close performance for pure oscillatory signals and a better performance for signals with additive white noise.