Modeling resonances with phase modulated self-similar processes

Dimakis, AG; Maragos, P

dc.contributor.author	Dimakis, AG	en
dc.contributor.author	Maragos, P	en
dc.date.accessioned	2014-03-01T02:42:53Z
dc.date.available	2014-03-01T02:42:53Z
dc.date.issued	2004	en
dc.identifier.issn	15206149	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/31120
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-4644303606&partnerID=40&md5=ee65dfcb983cc4f245f6880201bb9d90	en
dc.relation.uri	http://cvsp.cs.ntua.gr/publications/confr/DimakisMaragos_ModelResonPhaseModulSelfSimil_ICASSP2004.pdf	en
dc.subject	fractional brownian motion	en
dc.subject	Generic Model	en
dc.subject	Nonlinear Model	en
dc.subject	Oscillations	en
dc.subject	Phase Modulation	en
dc.subject	Random Process	en
dc.subject	self-similar process	en
dc.subject	Stochastic Process	en
dc.subject	Power Spectrum	en
dc.subject	Time Varying	en
dc.subject.other	Frational stable Levy motion (FSLM)	en
dc.subject.other	Quartz crystals	en
dc.subject.other	Self-similar processes	en
dc.subject.other	Time varying frequency	en
dc.subject.other	Algorithms	en
dc.subject.other	Atomic clocks	en
dc.subject.other	Brownian movement	en
dc.subject.other	Correlation methods	en
dc.subject.other	Mathematical models	en
dc.subject.other	Natural frequencies	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Random processes	en
dc.subject.other	Signal processing	en
dc.subject.other	Time varying systems	en
dc.subject.other	Phase modulation	en
dc.title	Modeling resonances with phase modulated self-similar processes	en
heal.type	conferenceItem	en
heal.publicationDate	2004	en
heal.abstract	In this paper we propose a nonlinear model for time-varying random resonances where the instantaneous phase (and frequency) of a sinusoidal oscillation is allowed to vary proportionally to a random process that belongs to the class of αα-stable self-similar stochastic processes. This is a general model that includes phase modulations by fractional Brownian motion or fractional stable Levy motion as special cases. We explore theoretically this random modulation model and derive analytically 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 some speech data and demon-strate that the model is suitable for fricative sounds.	en
heal.journalName	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings	en
dc.identifier.volume	2	en
dc.identifier.spage	II877	en
dc.identifier.epage	II880	en