Interspeech'2005 - Eurospeech

Lisbon, Portugal
September 4-8, 2005

Asymptotically Exact AM-FM Decomposition Based on Iterated Hilbert Transform

Francesco Gianfelici, Giorgio Biagetti, Paolo Crippa, Claudio Turchetti

UniversitÓ Politecnica delle Marche, Italy

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.

Full Paper

Bibliographic reference.  Gianfelici, Francesco / Biagetti, Giorgio / Crippa, Paolo / Turchetti, Claudio (2005): "Asymptotically exact AM-FM decomposition based on iterated hilbert transform", In INTERSPEECH-2005, 1121-1124.