Abstract
In this paper, we report on a mathematical modeling of the passage dynamics we defined as the description of the environment through which the noise waves go before corrupting the speech signal in our implementation of a neuro-fuzzy system for noise cancellation [2,3,4]. We restricted our analysis in establishing rigourously that passage dynamics can be considered as linear dynamical systems under some limitations in introducing the concept of forced linear passage. Finally, we did some experiments to validate the theoretical results obtained from our analysis.
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References
Jang, J.-S.R., Sun, C.-T., Mizutani, E.: Neuro Fuzzy and Soft Computing In: A Computational Approach to Learinig and Machine Intelligence. Prentice Hall, Upper Saddle River
Ezin, E.C.: Neural Networks and Neural Fuzzy Systems for Speech Applications, PhD. Dissertation, Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-Calavi, Bénin (March 2001)
Esposito, A., Ezin, E.C., Reyes-Garcia, C.: Speech Noise Cancellation, Based on a Neuro-Fuzzy System: Experimental Results. In: Proceedings of the IEEE on International Workshop on Intelligent Signal Processing, Budapest, September 1999, pp. 342–347 (1999), ISBN 963 420 607 7
Esposito, A., Ezin, E.C., Reyes-Garcia, C.: A Neuro-Fuzzy Inference System for Noise Source Identification. In: Proceedings of International Workshop, Speech and Computer, SPECOM, St.-Petersburg, Russia, September 2000, pp. 53–56 (2000)
Ventsel, E.S.: La théorie des Probabilités, Traduction Française, Edition Mir (1982)
Feller, W.: An Introduction to Probability Theory and Its Applications, 2nd, 3rd edn., vol. I & II. John Wiley & Sons, Chichester (1968)
William, P.H., et al.: The Art of Scientific Computing, 2nd edn. Cambridge University Press, Cambridge (1999)
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Esposito, A., Ezin, E.C., Marinaro, M. (2006). Mathematical Modeling of Passage Dynamic Function. In: Di Gesú, V., Masulli, F., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2003. Lecture Notes in Computer Science(), vol 2955. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10983652_5
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DOI: https://doi.org/10.1007/10983652_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-31019-8
Online ISBN: 978-3-540-32683-0
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