NONLINEAR STATISTICS OF HUMAN SPEECH DATA

被引：15

作者：

Brown, Kenneth A. ^{[1
]}

Knudson, Kevin P. ^{[2
]}

机构：

[1] Univ S Carolina, Dept Math, Columbia, SC 29208 USA

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 07期

关键词：

Persistent homology; witness complex; topological data analysis; DYNAMICS;

D O I：

10.1142/S0218127409024086

中图分类号：

O1 [数学];

学科分类号：

070101 [基础数学];

摘要：

We study the structure of point clouds obtained as time delay embeddings of human speech signals by approximating the data sets with certain simplicial complexes and analyzing their persistent homology. Results for several different sounds are presented in embedding dimensions 3 and 4. The first Betti number allows a coarse classification of sounds into three groups: vowels, nasals and noise.

引用

页码：2307 / 2319

页数：13

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