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