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The following are papers, textbooks, and webpages that people working on the Speech Recognition using Dynamical Systems Models project have found useful. They are broken into categoreis according to research topics. Happy learning!


Speech Recognition Systems

Time-Delay Embedding

Phoneme Recognition

Phase Space Features for Classification

Modeling Techniques

Matlab Resources

Chaos, Nonlinear/Dynamical Signal Processing

Application of Wavelets and Neural Networks on Speech Signal Processing

Global Vector Field or Flow Reconstruction

Topology Analysis

Surrogate Data Method

LPC, Wiener Filter, and Kalman Filter

Useful Downloading Sites


Speech Recognition Systems

M. Banbrook and S. McLaughlin, "Is Speech Chaotic?: Invariant Geometric Measures for Speech Data", IEE Colloquium on "Exploiting Chaos in Signal Processing", Digest No 1994/193, pp8/1-8/10, June 1994. (pdf)

J. R. Deller, J. H. L. Hansen, and J. G. Proakis, Discrete-Time Processing of Speech Signals, 2nd ed. New York: IEEE Press, 2000.

X. Huang, A. Acero, and H.-W. Hon, Spoken Language Processing. Upper Saddle River, New Jersey: Prentice Hall, 2001.

F. Jelinek, Statistical Methods for Speech Recognition. Cambridge, MA: MIT Press, 1999.

L. R. Rabiner, "Tutorial on Hidden Markov Models and Selected Applications in Speech Recognition," Proceedings of the IEEE, vol. 77, no. 2, pp. 257-286, 1989. (pdf)

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Time-Delay Embedding

H. D. I. Abarbanel, Analysis of observed chaotic data. New York: Springer, 1996.

H. Kantz and T. Schrieber, Nonlinear Time Series Analysis. New York, NY: Cambridge University Press, 2000.

T. Sauer, J. A. Yorke, and M. Casdagli, "Embedology," Journal of Statistical Physics, vol. 65, pp. 579-616, 1991.

F. Takens, "Detecting strange attractors in turbulence," presented at Dynamical Systems and Turbulence, Warwick, 1980.

H. Whitney, "Differentiable Manifolds," The Annals of Mathematics, 2nd Series, vol. 37, pp. 645-680, 1936. (html)

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Phoneme Recognition

M. Banbrook, S. McLaughlin, and I. Mann, "Speech characterization and synthesis by nonlinear methods," IEEE Transactions on Speech and Audio Processing, vol. 7, pp. 1 -17, 1999.

K.-F. Lee and H.-W. Hon, "Speaker-independent phone recognition using hidden Markov models," IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 37, pp. 1641-1648, 1989.

S. C. Lee and J. R. Glass, "Real-Time Probabilistic Segmentation for Segment-Based Speech Recognition," presented at ISCLP, 1998.

T. Robinson, "An application of recurrent nets to phone probability estimation," IEEE Transactions on Neural Networks, vol. 5, pp. 128-305, March 1994.

T. Robinson and F. Fallside, "A Recurrent Error Propagation Network Speech recognition system," Computer Speech and Language, vol. 5, pp. 259-274, 1991.

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Phase Space Features for Classification

H. F. V. Boshoff and M. Grotepass, "The Fractal Dimension of Fricative Speech Sounds," presented at South African Symposium on Communications and Signal Processing, 1991. papers/boshoff1991.pdf

G. Kubin, "Nonlinear Speech Processing," in Speech Coding and Synthesis, W. B. Kleijn and K. K. Paliwal, Eds.: Elsevier Science, 1995.

A. Kumar and S. K. Mullick, "Nonlinear Dynamical Analysis of Speech," Journal of the Acoustical Society of America, vol. 100, pp. 615-629, 1996.

A. Langi and W. Kinsner, "Consonant Characterization using Correlation Fractal Dimension for Speech Recognition," presented at IEEE WESCANEX Proceedings, 1995.

S. S. Narayanan and A. A. Alwan, "A Nonlinear Dynamical Systems Analysis of Fricative Consonants," Journal of the Acoustical Society of America, vol. 97, pp. 2511-2524, 1995.

A. Petry, D. Augusto, and C. Barone, "Speaker Identification using nonlinear dynamical features," Chaos, Solitons, and Fractals, vol. 13, pp. 221-231, 2002.

N. Tishby, "A dynamical systems approach to speech processing," presented at ICASSP'90, 1990. papers/tishby1990.pdf

D. M. Tumey, P. E. Morton, D. F. Ingle, C. W. Downey, and J. H. Schnurer, "Neural Network Classification of EEG using Chaotic Preprocessing and Phase Space Reconstruction," presented at 1991 IEEE Seventeenth Annual Northeast Bioengineering Conference, 1991. papers/tumey1991.pdf

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Modeling Techniques

M. Giona, F. Lentini, and V. Cimagalli, "Functional reconstruction and local prediction of chaotic time series," Physical Review A, vol. 44, pp. 3496-3502, 1991.

G. Gouesbet and C. Letellier, "Global vector field reconstruction by using a multivariate polynomial L2-approximation on nets," Physical Review E, vol. 49, pp. 4955-4972, 1994.

G. Gouesbet, L. L. Sceller, C. Letellier, R. Brown, J. R. Buchler, and Z. Kollath, "Reconstructing a dynamics from a scalar time series," presented at Eleventh Annual Florida Workshop in Nonlinear Astronomy, 1995.

D. G. Manolakis, V. K. Ingle, and S. M. Kogon, Statistical and Adaptive Signal Processing: McGraw Hill, 2000.

T. Serre, Z. Kollath, and J. R. Buchler, "Search For Low - Dimensional Nonlinear Behavior in Irregular Variable Stars - The Global Flow Reconstruction Method," Astronomy & Astrophysics, pp. 811-833, 1996.

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Matlab Resources

C. B. Moler, and K. A. Moler, "Numerical Computing with MATLAB," http://www.mathworks.com/moler/, 2003.

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Chaos, Nonlinear/Dynamical Signal Processing

H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, and L. S. Tsimring, "The analysis of observed chaotic data in physical systems," Rev. Mod. Phys., v. 64, no. 5, pp. 1331-1393, 1993. (pdf)

T. Schreiber, "Interdisciplinary application of nonlinear time series methods," Phys. Rep. 308, 2, 1999. (pdf)

F. Grigoras, H. Teodorescu, and V. Apopei, "Analysis of Nonlinear and Nonstationary Processes in Speech Production," Applications of Signal Processing to Audio and Acousics, 1997.

O. G. Barbashov, A. L. Fradkov, O.G. Maleev, N. A. Romashov, and D. A. Yushanov, "On the improvements of speaker-independent isolated word recognition using chaotic model," Control of Oscillations and Chaos, 1997.

M. G. Signorini, F. Marchetti, and S. Cerutti, "Applying Nonlinear Noise Reduction in the Analysis of Heart Rate Variability," IEEE Engineering in Medicine and Biology, March/April 2001, pp. 59-68.

S. R. Wilkin, and M. J. Vinson, "Nonlinear Forecasting and Detection of Chaos,"

J. McNames, J. A. K. Suykens, and J. Vandewalle, "Winning Entry of the K. U. Leuven Time Series Prediction Competition," Internation Journal of Bifurcation and Chaos, Vol. 9, No. 8, 1999. (pdf)

J. McNames, "Innovations in Local Modeling for Time Series Prediction," Ph.D. Thesis, Stanford University, May 1999. (pdf)

U. Parlitz, "Analysis and Synchronization of Chaotic Systems" (ppt)

A. C. Singer, G. W. Wornell, and A. V. Oppenheim, "Autoregressive Modeling and Estimation in the Presence of Noise," Digital Signal Processing, Vol. 4, November 1994.

V. Babovic, and M. Keijzer, "Forecasting of River Discharges in the Presence of Chaos and Noise,"

M. W. Slutzky, P. Cvitanovic, and D. J. Mogul, " Deterministic chaos and Noise in Thress In Vitro Hippocampal Models of Epilepsy," Annals of Biomedical Engineering, Vol. 29, No. 607, 2001.

J. McNames, "A Nearest Trajectory Strategy for Time Series Prediction," Proceedings of the International Workshop on Advanced Black-Box Techniques for Nonlinear Modeling, Katholieke Universiteit Leuven, Belgium, pp. 112-128, July 1998. (pdf)

S. Singh, and P. McAtackney, "Dynamic Time-Series Forecasting using Local Approximation," Proc. 10th IEEE International Conference on Tools with AI, IEEE Press, pp. 392-399, 10-12 November 1998.

F. M. Roberts, R. J. Povinelli, and K. M. Ropella, "Identification of ECG Arrhythias using Phase Space Reconstruction," 5th European Conference on Principles and Practice of Knowledge Discovery in Databases (PKDD'01), 411-423, 2001. (pdf)

J. Stehlik, "Deterministic Chaos in Runoff Series," Journal of Hydrology and Hydromechanics, Vol 47, No. 4, pp. 271-287, 1999. (html)

An Introduction to Chaos: http://www.upscale.utoronto.ca/GeneralInterest/Harrison/Chaos/Chaos.html

How to identify low-dimensional deterministic systems (chaos) in time series or spatial patterns: http://walrus.wr.usgs.gov/seds/

A. Yasmin, "Speech Enhancement Using Voice Source Models,"

R. J. Povinelli. (1999). “Time Series Data Mining: Identifying Temporal Patterns for Characterization and Prediction of Time Series Events,” Ph.D. Dissertation, Marquette University, Milwaukee, WI. (pdf)

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Application of Wavelets and Neural Networks on Speech Signal Processing

Y. Romanyshyn, and V. Hudym, "Wavelet transforms applications for speech signals processing," CADSM 2001. The Experience of Designing and Application of CAD Systems in Microelectronics. Proceedings of the VI-th International Conference , 2001 Page(s): 297 -298.

K. Nie, N. Lan, and S. Gao, "Wavelet-based feature extraction of speech signal for cochlear implants," BMES/EMBS Conference, 1999. Proceedings of the First Joint , Volume: 1 , 1999 Page(s): 654 vol.1

L. Qiu, H. Yang, and S. N. Koh, "A fundamental frequency detector of speech signals based on short time Fourier transform," TENCON '94. IEEE Region 10's Ninth Annual International Conference. Theme: Frontiers of Computer Technology. Proceedings of 1994 , 1994 Page(s): 526 -530 vol.1

H. Kabre, "Robustness of a chaotic modal neural network applied to audio-visual speech recognition," Neural Networks for Signal Processing [1997] VII. Proceedings of the 1997 IEEE Workshop , 1997 Page(s): 607 -616

H. Choi, H. Lee, S. Kim, J. Eem, and W. Park, "Adaptive prediction of nonstationary signals using chaotic neural networks," Neural Networks Proceedings, 1998. IEEE World Congress on Computational Intelligence. The 1998 IEEE International Joint Conference on , Volume: 3 , 1998 Page(s): 1943 -1947 vol.3

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Global Vector Field or Flow Reconstruction

H. D. I. Abarbanel, R. Brown, J. J. Sidorowich, and L. S. Tsimring, "The analysis of observed chaotic data in physical systems, "Rev. Mod. Phys., Vol. 64, No. 5, 1331-1393, 1993.

R. Brown, "Calculating Lyapunov exponents for short and/or noisy data sets," Physical Review E, Vol. 47, pp. 3962-3969, 1993.

J. R. Buchler, and Z. Koll, "Nonlinear Analysis of Irregular Variables, in Nonlinear Studies of Stellar Pulsation," Eds. M. Takeuti and D. D. Sasselov, Astrophysics and Space Science Library Series, Vol. 257, pp. 185-213, 2000.

G. Gouesbet, L. Le Sceller, C. Letellier, R. Brown, J. R. Buchler, Z. Kollath, "Reconstructing a Dynamics from a Scaler Time Series," Eleventh Annual Florida Workshop in Nonlinear Astronomy and Physics, 1995.

G. Gouesbet and C. Letellier, "Global vector field reconstruction by using a multivariate polynomial L2-approximation on nets," Physical Review E, Vol. 40, No. 6, pp. 4955-4972, 1994.

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Topology Analysis

V. Robins, "Computational Topology at Multiple Resolutions," Ph.D. Dissertation, University of Colorado, Boulder, 2000.

M. Lefranc, P. Glorieux, F. Papoff, F. Molesti, and E. Arimondo, "Combining Topological Analysis and Symbolic Dynamics to Describe a Strange Attractor and its Crises," Physical Review Letters, Vol. 73, No. 10, pp. 1364-1367, 1994.

R. Brown, N. Rulkov, and N. B. Tufillaro, "The effects of additive noise and drift in the dynamics of the driving on chaotic synchronization," Physics Letters A, Vol. 196, pp. 201-205, 1994.

N. B. Tufillaro, P. Wyckoff, R. Brown, T. Schreiber, and T. Molteno, "Topological time series analysis of a string expereiment and its synchronized model," Physical Review E, Vol. 51, No. 1, pp. 164-174, 1995.

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Surrogate Data Method

J. Theiler and D. Prichard, "Constrained-relization Monte-Carlo method for hypothesis testing," Physica D, Vol. 94, pp. 221-235, 1996.

D. Kugiumtzis, "Surrogate Data Test for Nonlinearity Including Non-monotonic Transforms," Physical Review E, Vol. 62, No. 1, pp. 25-28, 2000.

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LPC, Wiener Filter, and Kalman Filter

P. Polotti, "Speech Modeling by means of Linear Predictive Coding (LPC)," (pdf)

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This material is based upon work supported by the National Science
Foundation under Grant No. 0113508.

Any opinions, findings, and conclusions or recommendations expressed
in this material are those of the author(s) and do not necessarily
reflect the views of the National Science Foundation

©2001-2002 Michael T. Johnson & Richard J. Povinelli -- Last Update: July 25, 2003