[Fractal dimension of speech]. 2001

C H Chouard, and B Meyer
Laboratoire de Recherches ORL, CHU Saint-Antoine-Service ORL-184 rue du Fbg Saint-Antoine-75012 Paris.

Fractal dimension (D) quantifies the roughness of a temporal signal and estimates its degree of freedom, allowing a good approach of its fluctuations and roughness. Using a 16 kHz time sampling and the box-counting method, we studied Ds of some of the main French phonemes, i.e. [a], [e], [i], [o], [y], and consonants in a consonant-vowel context pronounced 4 times by 10 males and 10 females. For D measurement of long phonemes we used the dyadic Box Counting method and its 10 points D measurement (10pD). For plosion part of plosives consonants, we designed a Semi Continuous Box Counting method devoted to D measurement of short single dimension temporal signal. In the aim to approach infinitely small time scales, and to appreciate at least the tendency of these 10 points set, we calculated also the slope of the 3 last points (3pD). Our study consistently demonstrates that vowels are not fractal; plosive consonants are not fractal; long fricative consonants are fractal; males Ds are significantly higher females Ds, as far as only vowels and long voiced consonants are concerned; there is a significant difference (p < 0.01) between 3pD values of vowels (couple [a] [y] excepted), and fricative consonants (couple [[symbol: see text]]] [f] excepted). In case of nasal consonants, this categorisation is efficient using both 3pD and 10pD measurements (p < 0.05). These results will be commented and discussed, in the aim of clinical use, i.e. dysphonia follow up and auditory prosthesis speech signal processing.

UI MeSH Term Description Entries
D008297 Male Males
D010700 Phonetics The science or study of speech sounds and their production, transmission, and reception, and their analysis, classification, and transcription. (Random House Unabridged Dictionary, 2d ed) Speech Sounds,Sound, Speech,Sounds, Speech,Speech Sound
D005260 Female Females
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D016014 Linear Models Statistical models in which the value of a parameter for a given value of a factor is assumed to be equal to a + bx, where a and b are constants. The models predict a linear regression. Linear Regression,Log-Linear Models,Models, Linear,Linear Model,Linear Regressions,Log Linear Models,Log-Linear Model,Model, Linear,Model, Log-Linear,Models, Log-Linear,Regression, Linear,Regressions, Linear
D017709 Fractals Patterns (real or mathematical) which look similar at different scales, for example the network of airways in the lung which shows similar branching patterns at progressively higher magnifications. Natural fractals are self-similar across a finite range of scales while mathematical fractals are the same across an infinite range. Many natural, including biological, structures are fractal (or fractal-like). Fractals are related to "chaos" (see NONLINEAR DYNAMICS) in that chaotic processes can produce fractal structures in nature, and appropriate representations of chaotic processes usually reveal self-similarity over time. Fractal

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