Phase-modulated resonances modeled as self-similar processes with application to turbulent sounds

Dimakis, AG; Maragos, P

dc.contributor.author	Dimakis, AG	en
dc.contributor.author	Maragos, P	en
dc.date.accessioned	2014-03-01T01:22:55Z
dc.date.available	2014-03-01T01:22:55Z
dc.date.issued	2005	en
dc.identifier.issn	1053-587X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16723
dc.subject	1/f process	en
dc.subject	Alpha stable	en
dc.subject	Fractal	en
dc.subject	Fractional Brownian motion	en
dc.subject	Modulation	en
dc.subject	Power-law	en
dc.subject	Self-similar	en
dc.subject	Speech	en
dc.subject	Turbulence	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	Algorithms	en
dc.subject.other	Amplitude modulation	en
dc.subject.other	Brownian movement	en
dc.subject.other	Fourier transforms	en
dc.subject.other	Frequency modulation	en
dc.subject.other	Mathematical models	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Phase modulation	en
dc.subject.other	Random processes	en
dc.subject.other	Resonance	en
dc.subject.other	Alpha stable	en
dc.subject.other	Fractional Brownian modulation	en
dc.subject.other	Nonlinear stochastic model	en
dc.subject.other	Phase modulated resonances	en
dc.subject.other	Turbulent sounds	en
dc.subject.other	Speech processing	en
dc.title	Phase-modulated resonances modeled as self-similar processes with application to turbulent sounds	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TSP.2005.857010	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TSP.2005.857010	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper, we propose a nonlinear stochastic model for time-varying resonances where the instantaneous phase (and frequency) of a sinusoidal oscillation is allowed to vary proportionally to an α-stable self-similar stochastic processes. The main motivation of our work stems from previous experimental and theoretical evidence that speech resonances in fricative sounds can be modeled phenomenologically as AM-FM signals with randomly varying instantaneous frequencies and that several signal classes related to turbulent phenomena are self-similar 1/ f processes. Our general approach is to model the instantaneous phase of an AM-FM resonance as a self-similar α-stable process. As a special case, this random phase model includes the class of random fractal signals known as fractional Brownian motion. We theoretically explore this random modulation model and analytically derive its autocorrelation and power spectrum. We also propose an algorithm to fit this model to arbitrary resonances with random phase modulation. Further, we apply the above ideas to real speech data and demonstrate that this model is suitable for resonances of fricative sounds. © 2005 IEEE.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Signal Processing	en
dc.identifier.doi	10.1109/TSP.2005.857010	en
dc.identifier.isi	ISI:000232838900019	en
dc.identifier.volume	53	en
dc.identifier.issue	11	en
dc.identifier.spage	4261	en
dc.identifier.epage	4272	en