Macroscopic 1/f behavior of fractal signals generated by additive substitution

Author

Alieva, Tatiana ; Barbé, André

Author_Institution

Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium

Volume

46

Issue

6

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

2261

Lastpage

2268

Abstract

We analyze the structure of the discrete Fourier transform of a particular class of self-similar discrete signals which are iteratively generated by an additive substitution procedure, starting from a finite generator sequence. The amplitude spectra of such signals obtained from different generators have a similar form. The amplitude spectrum contains several affine branches, the number of which depends on the iteration level, on the size of the generator, and on the spectrum´s symmetry. It has a macroscopic 1/f-characteristic

Keywords

1/f noise; discrete Fourier transforms; fractals; iterative methods; signal processing; spectral analysis; DFT; additive substitution procedure; affine branches; amplitude spectrum; discrete Fourier transform; finite generator sequence; fractal signals; iteration level; macroscopic 1/f behavior; self-similar discrete signals; Additives; Communication channels; Discrete Fourier transforms; Fractals; Materials science and technology; Multiple signal classification; Signal analysis; Signal generators; Signal processing; Sociology;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.868502

Filename

868502