Analysis and classification of speech signals by generalized fractal dimension features

Speech Communication

Volumn 51, Issue 12, 2009, Pages 1206-1223

  Pitsikalis, Vassilis ^a   Maragos, Petros ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Broad class phoneme classification; Feature extraction; Generalized fractal dimensions

Indexed keywords

BROAD CLASS PHONEME CLASSIFICATION; CLASSIFICATION OF SPEECH; FEATURE VECTORS; FRACTAL FEATURE; FRACTAL THEORY; GENERALIZED FRACTAL DIMENSIONS; MEL-FREQUENCY CEPSTRAL COEFFICIENTS; NON-LINEAR SIGNAL PROCESSING; PHASE SPACES; PHONEME CLASSIFICATION; QUALITATIVE ASPECTS; RAW MEASUREMENTS; SPECTRAL CONTENT; SPEECH SIGNALS; SPEECH SOUNDS; STATISTICAL PARAMETERS;

DYNAMICAL SYSTEMS; FRACTAL DIMENSION; INITIATORS (CHEMICAL); LINGUISTICS; SIGNAL PROCESSING;

FEATURE EXTRACTION;

EID: 69849087531     PISSN: 01676393     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.specom.2009.06.005     Document Type: Article

References (48)

1. Abarbanel H.D.I. Analysis of Observed Chaotic Data (1996), Springer-Verlag, New York, Berlin, Heidelberg
2. Adeyemi, O., Boudreaux-Bartels, F.G., 1997. Improved accuracy in the singularity spectrum of multifractal chaotic time series. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP-97, Munich, Germany, pp. 2377-2380.
3. Anderson T.W. An Introduction to Multivariate Statistical Analysis (2003), Wiley, New York
4. Badii R., and Politi A. Statistical description of chaotic attractors: the dimension function. J. Statist. Phys. 40 5-6 (1985) 725-750
5. Banbrook M., McLaughlin S., and Mann I. Speech characterization and synthesis by nonlinear methods. IEEE Trans. Speech Audio Process. 7 1 (1999) 1-17
6. Benzi R., Paladin G., Parisi G., and Vulpiani A. On the multifractal nature of fully developed turbulence and chaotic systems. J. Phys. A 17 (1984) 3521-3531
7. Bernhard, H.-P., Kubin, G., 1991. Speech production and chaos. In: XIIth International Congress of Phonetic Sciences, Aix-en-Provence, France, pp. 19-24.
8. Davis S.B., and Mermelstein P. Comparison of parametric representations for monosyllabic word recognition in continuously spoken sentences. IEEE Trans. Acoust., Speech, Signal Process. 28 4 (1980) 357-366
9. Deng L., Ramsay G., and Sun D. Production models as a structural basis for automatic speech recognition. Speech Commun. 22 (1997) 93-111
10. Garofolo, J., Lamel, L., Fisher, W., Fiscus, J., Pallett, D., Dahlgren, N., 1993. TIMIT Acoustic-Phonetic Continuous Speech Corpus Linguistic Data Consortium, Philadelphia.
11. Grassberger P., and Procaccia I. Measuring the strangeness of strange attractors. Physica D 9 1-2 (1983) 189-208
12. Greenwood G.W. Characterization of attractors in speech signals. BioSystems 44 (1997) 161-165
13. Hentschel H.G.E., and Procaccia I. Fractal nature of turbulence as manifested in turbulent diffusion strange attractors. Phys. Rev. A 27 (1983) 1266-1269
14. Hentschel H.G.E., and Procaccia I. The infinite number of generalized dimensions of fractals and strange attractors. Physica D 8 3 (1983) 435-444
15. Herzel H., Berry D., Titze I., and Saleh M. Analysis of vocal disorders with methods from nonlinear dynamics. NCVS Status Progress Rep. 4 (1993) 177-193
16. Hirschberg A. Some fluid dynamic aspects of speech. Bull. Commun. Parlée 2 (1992) 7-30
17. Howe M.S., and McGowan R.S. Aeroacoustics of [s]. Proc. Roy. Soc. A 461 (2005) 1005-1028
18. Hunt F., and Sullivan F. Efficient algorithms for computing fractal dimensions. In: Mayer-Kress G. (Ed). Dimensions and Entropies in Chaotic Systems (1986), Springer-Verlag, Berlin
19. Johnson M.T., Povinelli R.J., Lindgren A.C., Ye J., Liu X., and Indrebo K.M. Time-domain isolated phoneme classification using reconstructed phase spaces. IEEE Trans. Speech Audio Process. 13 (2005) 458-466
20. Kaiser, J.F., 1983. Some observations on vocal tract operation from a fluid flow point of view. In: Titze, I.R., Scherer, R.C. (Eds.), Vocal Fold Physiology: Biomechanics, Acoustics and Phonatory Control, Denver Center for Performing Arts, Denver, CO, pp. 358-386.
21. Kantz H., and Schreiber T. Nonlinear Time Series Analysis (1997), Cambridge University Press, Cambridge, UK
22. Kokkinos I., and Maragos P. Nonlinear speech analysis using models for chaotic systems. IEEE Trans. Acoust., Speech, Signal Process. 13 6 (2005) 1098-1109
23. Kubin, G., 1996. Synthesis and coding of continuous speech with the nonlinear oscillator model. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP-96, Vol. 1, Atlanta, USA, p. 267.
24. Kumar A., and Mullick S.K. Nonlinear dynamical analysis of speech. J. Acoust. Soc. Am. 100 1 (1996) 615-629
25. Livescu, K., Glass, J., Bilmes, J., 2003. Hidden feature models for speech recognition using dynamic bayesian networks. In: 8th European Conference on Speech Communication and Technology (Eurospeech), pp. 2529-2532.
26. Mandelbrot B. The Fractal Geometry of Nature (1982), Freeman, NY
27. Maragos, P., 1991. Fractal aspects of speech signals: dimension and interpolation. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP-91, pp. 417-420.
28. Maragos P., and Potamianos A. Fractal dimensions of speech sounds: computation and application to automatic speech recognition. J. Acoust. Soc. Am. 105 3 (1999) 1925-1932
29. Maragos P., Kaiser J.F., and Quatieri T.F. Energy separation in signal modulations with application to speech analysis. IEEE Trans. Signal Process. 41 10 (1993) 3024-3051
30. Meneveau C., and Sreenivasan K.R. The multifractal nature of turbulent energy dissipation. J. Fluid Mech. 224 (1991) 429-484
31. Narayanan S., and Alwan A. A nonlinear dynamical systems analysis of fricative consonants. J. Acoust. Soc. Am. 97 4 (1995) 2511-2524
32. Packard N., Crutchfield J., and Farmer D.S.R. Geometry from a time series. Phys. Rev. Lett. 45 (1980) 712-716
33. Papandreou G., Katsamanis A., Pitsikalis V., and Maragos P. Adaptive multimodal fusion by uncertainty compensation with application to audiovisual speech recognition. IEEE Trans. Audio, Speech Language Process. 17 3 (2009) 423-435
34. Peitgen H.-O., Jürgens H., and Saupe D. Chaos and Fractals: New Frontiers of Science (1992), Springer-Verlag, Berlin, Heidelberg
35. Pitsikalis, V., Maragos, P., 2002. Speech analysis and feature extraction using chaotic models. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP-02, Orlando, USA, pp. 533-536.
36. Pitsikalis V., and Maragos P. Filtered dynamics and fractal dimensions for noisy speech recognition. IEEE Signal Proc. Lett. 13 11 (2006) 711-714
37. Pitsikalis, V., Kokkinos, I., Maragos, P., 2003. Nonlinear analysis of speech signals: generalized dimensions and Lyapunov exponents. In: Proceedings of the European Conference on Speech Communication and Technology, Eurospeech-03, Geneva, Switzerland, pp. 817-820.
38. Potamianos G., Neti C., Luettin J., and Matthews I. Audio-visual automatic speech recognition: an overview. In: Bailly G., Vatikiotis-Bateson E., and Perrier P. (Eds). Issues in Visual and Audio-Visual Speech Processing (2004), MIT Press (Chapter 10)
39. Quatieri, T.F., Hofstetter, E.M., 1990. Short-time signal representation by nonlinear difference equations. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP'90, Albuquerque, Vol. 3, pp. 1551-1554.
40. Sauer T., Yorke J.A., and Casdagli M. Embedology. J. Statist. Phys. 65 3-4 (1991) 579-616
41. Takens F. Detecting strange attractors in turbulence. Dynam. Systems Turbulence 898 (1981) 366-381
42. Teager, H.M., Teager, S.M., 1989. Evidence for nonlinear sound production mechanisms in the vocal tract. In: Hardcastle, W.J., Marchal (Eds.), Speech Production and Speech Modelling NATO ASI Series D, Vol. 55.
43. Temam R. Infinite-dimensional dynamical systems in mechanics and physics. Applied Mathematical Science Vol. 68 (1993), Springer-Verlag, New York
44. Thomas T.J. A finite element model of fluid flow in the vocal tract. Comput. Speech Language 1 (1986) 131-151
45. Tokuda I., Miyano T., and Aihara K. Surogate analysis for detecting nonlinear dynamics in normal vowels. J. Acoust. Soc. Am. 110 6 (2001) 3207-3217
46. Townshend, B., 1991. Nonlinear prediction of speech signals. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP-91, pp. 425-428.
47. Tritton D.J. Physical Fluid Dynamics (1988), Oxford University Press, NY
48. Young, S., Kershaw, D., Odell, J., Ollason, D., Valtchev, V., Woodland, P., 2002. The HTK Book, Entropic Ltd.