Fractal dimension and classification of music

被引：52

作者：

Bigerelle, M ^{[1
]}

Iost, A ^{[1
]}

机构：

[1] ENSAM Lille, Equipe Mat, Met Phys Lab, CNRS UMR 8517, F-59046 Lille, France

来源：

CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 14期

关键词：

D O I：

10.1016/S0960-0779(99)00137-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The fractal aspect of different kinds of music was analyzed in keeping with the time domain. The fractal dimension of a great number of different musics (180 scores) is calculated by the Variation method. By using an analysis of variance, it is shown that fractal dimension helps discriminate different categories of music. Then, we used an original statistical technique based on the Bootstrap assumption to find a time window in which fractal dimension reaches a high power of music discrimination. The best discrimination is obtained between 1/44100 and 16/44100 Hertz. We admit that to distinguish some different aspects of music well, the high information quantity is obtained in the high frequency domain. By calculating fractal dimension with the ANAM method, it was statistically proven that fractal dimension could distinguish different kinds of music very well: musics could be classified by their fractal dimensions. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：2179 / 2192

页数：14

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