Derivative Analysis of Complex Polynomial Amplitude, Complex Exponential with Exponential Damping

TitleDerivative Analysis of Complex Polynomial Amplitude, Complex Exponential with Exponential Damping
Publication TypeConference Paper
Year of Publication2013
Conference NameProceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
AuthorsMusevic, S., & Bonada J.
Conference LocationVancouver, Canada
AbstractIn 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 PACE model analysis method, the high-resolution method (HRM) 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. Such signals include transients and pairs of sinusoids of very close frequencies, commonly referred to as overlapping sinusoids. Accuracy and computational efficiency of proposed method are compared to high-resolution method.
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