Nonlinear Analysis of Speech Signals: Generalized Dimensions and Lyapunov Exponents
作者： Vassilis Pitsikalis , Petros Maragos , Iasonas Kokkinos
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摘要: In this paper, we explore modern methods and algorithms from fractal/chaotic systems theory for modeling speech signals in a multidimensional phase space extracting characteristic invariant measures like generalized fractal dimensions Lyapunov exponents. Such can capture valuable information the characterisation of - which is closer to true dynamics since they are sensitive frequency with attractor visits different regions rate exponential divergence nearby orbits, respectively. Further examine classification capability related nonlinear features over broad phoneme classes. The results these preliminary experiments indicate that carried by novel feature sets important useful.
isca-speech.org参考文章(18)
F. Hunt, F. Sullivan, Efficient Algorithms for Computing Fractal Dimensions Springer, Berlin, Heidelberg. pp. 74- 81 ,(1986) , 10.1007/978-3-642-71001-8_10
H. M. Teager, S. M. Teager, Evidence for Nonlinear Sound Production Mechanisms in the Vocal Tract Springer, Dordrecht. pp. 241- 261 ,(1990) , 10.1007/978-94-009-2037-8_10
J. -P. Eckmann, S. Oliffson Kamphorst, D. Ruelle, S. Ciliberto, Liapunov exponents from time series. Physical Review A. ,vol. 34, pp. 4971- 4979 ,(1986) , 10.1103/PHYSREVA.34.4971
J.-S.R. Jang, ANFIS: adaptive-network-based fuzzy inference system systems man and cybernetics. ,vol. 23, pp. 665- 685 ,(1993) , 10.1109/21.256541
Remo Radii, Antonio Politi, Statistical description of chaotic attractors: The dimension function Journal of Statistical Physics. ,vol. 40, pp. 725- 750 ,(1985) , 10.1007/BF01009897
Henry D. I. Abarbanel, Analysis of Observed Chaotic Data ,(1995)
Petros Maragos, Alexandros Potamianos, Fractal dimensions of speech sounds: computation and application to automatic speech recognition. Journal of the Acoustical Society of America. ,vol. 105, pp. 1925- 1932 ,(1999) , 10.1121/1.426738
T.J. Thomas, A finite element model of fluid flow in the vocal tract Computer Speech & Language. ,vol. 1, pp. 131- 151 ,(1986) , 10.1016/S0885-2308(86)80019-5
Tomohiro Takagi, Michio Sugeno, Fuzzy identification of systems and its applications to modeling and control systems man and cybernetics. ,vol. 15, pp. 116- 132 ,(1985) , 10.1109/TSMC.1985.6313399
Vassilis Pitsikalis, Petros Maragos, Speech analysis and feature extraction using chaotic models international conference on acoustics, speech, and signal processing. ,vol. 1, pp. 533- 536 ,(2002) , 10.1109/ICASSP.2002.5743772