Nonlinear dynamical analysis of speech
| Autor: | S. K. Mullick, Arun Kumar |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Correlation dimension
Acoustics and Ultrasonics Dynamical systems theory Mathematical analysis Computer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing) Statistical model Recurrence period density entropy Lyapunov exponent Upper and lower bounds symbols.namesake Arts and Humanities (miscellaneous) Computer Science::Sound symbols Applied mathematics Entropy (information theory) Time series Mathematics |
| Zdroj: | The Journal of the Acoustical Society of America. 100:615-629 |
| ISSN: | 0001-4966 |
| DOI: | 10.1121/1.415886 |
| Popis: | This paper reports results of the estimation of dynamical invariants, namely Lyapunov exponents, dimension, and metric entropy for speech signals. Two optimality criteria from dynamical systems literature, namely singular value decomposition method and the redundancy method, are used to reconstruct state space trajectories of speech and make observations. The positive values of the largest Lyapunov exponent of speech signals in the form of phoneme articulations show the average exponential divergence of nearby trajectories in the reconstructed state space. The dimension of a time series is a measure of its complexity and gives bounds on the number of state space variables needed to model it. It is found that most speech signals in the form of phoneme articulations are low dimensional. For comparison, a statistical model of a speech time series is also used to estimate the correlation dimension. The second‐order dynamical entropy (which is a lower bound of metric entropy) of speech time series is found to ... |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|