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Decomposing signals into a sum of amplitude and frequency modulated sinusoids using probabilistic inference

Richard E. Turner and Maneesh Sahani

Published in: IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2012

There are many methods for decomposing signals into a sum of amplitude and frequency modulated sinusoids. In this paper we take a new estimation based approach. Identifying the problem as ill-posed, we show how to regularize the solution by imposing soft constraints on the amplitude and phase variables of the sinusoids. Estimation proceeds using a version of Kalman smoothing. We evaluate the method on synthetic and natural, clean and noisy signals, showing that it outperforms previous decompositions, but at a higher computational cost.

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Related publications:

This extends and uses results from : Turner and Sahani, Probabilistic amplitude and frequency demodulation, NIPS, 2011

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