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.