Hans Peter Bernhard, Gernot Kubin,
"Detection of chaotic behavior in speech signals using Fraser's mutual information algorithm"
: Proc. 13th GRETSI Sympos. Signal and Image Process., Juan-les-Pins, France, Sep, 1991, Seite(n) 1301-1311, 9-1991
Original Titel:
Detection of chaotic behavior in speech signals using Fraser's mutual information algorithm
Sprache des Titels:
Englisch
Original Buchtitel:
Proc. 13th GRETSI Sympos. Signal and Image Process., Juan-les-Pins, France, Sep, 1991
Original Kurzfassung:
The apparent irregularity of speech signals is generally considered the effect
of pure randomness or of time-varying control. This paper presents a new
explanation in terms of deterministic chaos as the underlying model of the
temporal fine structure of speech. Within this hypothesis, attractors of
sustained vowel articulations are reconstructed using Takens' theorem. Next,
Fraser's mutual information algorithm is exploited to estimate the marginal
redundancy $R_n^{T}$ of a signal sample given $n$ past samples with delay time $T$.
This results in the optimal choice of the delay time $T_{opt}$ (in the vicinity of 1
msec), a saturation value of 3 for the embedding dimension and an estimate
of the information production rate of roughly one bit per pitch period. This last
result together with the independently measured correlation dimension (between 1
and 2) corroborate the chaos hypothesis for speech. The general use of the
implemented algorithms of chaos-targetted analyses of natural signals is
possible.
Forschungs-