Derivative analysis of complex polynomial amplitude, complex exponential with exponential damping

In the context of non-stationary sinusoidal analysis two main sinusoidal models prevail: a polynomial phase/polynomial exponential amplitude (generalised sinusoid) and polynomial amplitude complex exponential (PACE) model. Recent advances resulted in efficient, robust and accurate parameter estimation algorithms for the generalised sinusoid model whereas the high-resolutionmethod (HRM) for PACE model, suffers from high computational complexity. An efficient analysis method for high-degree complex PACE with exponential damping model is presented. Such model better describes sinusoids with sudden drop/increase of amplitude to/from zero, essentially forcing log-amplitude to negative infinity, rendering the generalised sinusoid model analysis unstable. Accuracy and computational efficiency of proposed method are compared to the HRM.