Yury Andreyev, Maksim Koroteyev
Abstract
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Phonetic signals are considered from the viewpoint of nonlinear dynamics. Phase portraits of the signals are analyzed in embedding space, dimension and the largest Lyapunov exponent are estimated. It is shown that dimension of speech signals is low and the largest Lyapunov exponent is positive.
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Phonetic signals are considered from the viewpoint of nonlinear dynamics. Phase portraits of the signals are analyzed in embedding space, dimension and the largest Lyapunov exponent are estimated. It is shown that dimension of speech signals is low and the largest Lyapunov exponent is positive.
Key concepts: Lyapunov exponent, Phase portrait, Dimension (graph theory), Chaotic, Phase space, Embedding, Correlation dimension, Mathematics