ISCA Archive Interspeech 2005
ISCA Archive Interspeech 2005

Asymptotically exact AM-FM decomposition based on iterated hilbert transform

Francesco Gianfelici, Giorgio Biagetti, Paolo Crippa, Claudio Turchetti

This paper presents a multicomponent sinusoidal model of speech signals, obtained through a rigorous mathematical formulation that ensures an asymptotically exact reconstruction of these nonstationary signals, despite the presence of transients, voiced segments, or unvoiced segments. This result has been obtained by means of the iterated use of the Hilbert transform, and the convergence properties of the proposed method have been both analytically investigated and empirically tested. Finally, an adaptive segmentation algorithm used to accurately compute instantaneous frequencies from unwrapped phases, suited to complete the proposed AM-FM model, is presented.


doi: 10.21437/Interspeech.2005-205

Cite as: Gianfelici, F., Biagetti, G., Crippa, P., Turchetti, C. (2005) Asymptotically exact AM-FM decomposition based on iterated hilbert transform. Proc. Interspeech 2005, 1121-1124, doi: 10.21437/Interspeech.2005-205

@inproceedings{gianfelici05_interspeech,
  author={Francesco Gianfelici and Giorgio Biagetti and Paolo Crippa and Claudio Turchetti},
  title={{Asymptotically exact AM-FM decomposition based on iterated hilbert transform}},
  year=2005,
  booktitle={Proc. Interspeech 2005},
  pages={1121--1124},
  doi={10.21437/Interspeech.2005-205}
}