Fractal properties of speech signals

1996 International Conference on Nonlinear Dynamics and Chaos. Applications in Physics, Biology and Medicine - ICND-96

Fractal Properties of Speech Signals

Yuri Andreyev and Alexander Dmitriev
Institute of Radioengineering and Electronics of the Russian Academy of Sciences
Mokhovaya st., 11, Moscow, 103907, Russia
Email: [email protected]

Book of abstracts of 1996 International Conference on Nonlinear Dynamics and Chaos. ICND-96, Saratov, Russia. July 8-14,1996,, p.13.

Abstract

It is known that digitized speech is widely used in modern communication systems, e.g., digital communication lines now begin to substitute ordinary analog telephony. And though a number of efficient methods of digital sound compression is developed by far, there is still a need in new efficient methods. In this report we study a possibility of application of fractal methods to compression of speech signals.
The method of fractal interpolation of functions is used, that is, a digitized speech signal waveform is approximated with a piecewise self-affine fractal interpolation function. In this method, a speech frame is divided into larger pieces called domains, and smaller ones called regions, and an optimal set of affine transformations of domains into regions is calculated. The greater are the regions and domains, the better is the compression ratio, though the quality of the restored signal may be worse.

The obtain results are discussed in the report. They indicate that the method provides rather good results in compression, though further investigations are necessary.