Generation of chaotic signals with n-dimensional uniform probability distribution by digital filter structures

Author

Kelber, Kristina ; Götz, Marco ; Schwarz, Wolfgang

Author_Institution

Inst. fur Grundlagen der Elektrotech. und Elektron., Tech. Univ. Dresden, Germany

fYear

1996

Firstpage

486

Lastpage

489

Abstract

This paper deals with the generation of chaotic signals which have a uniform probability distribution up to nth-order. First a generator structure containing a static nonlinearity and a dynamical subsystem is deduced and the system characteristics are specified. Then conditions for the generation of continuous-value signals with nth-order uniform distribution are derived. For the special case of digital filter structures with chaotic behaviour the condition is simply that one specified parameter has to be an integer. Finally problems of continuous-value and discrete-value analysis and realisation are discussed. Some simulation results are provided

Keywords

chaos; digital filters; filtering theory; probability; signal generators; signal synthesis; statistical analysis; chaotic behaviour; chaotic signal generation; continuous-value signals; digital filter structures; discrete-value analysis; dynamical subsystem; generator structure; simulation results; static nonlinearity; system characteristics; uniform probability distribution; Chaos; Character generation; Delay effects; Digital filters; Feedback loop; Linearity; Noise generators; Noise measurement; Probability distribution; Signal generators;

fLanguage

English

Publisher

ieee

Conference_Titel

Digital Signal Processing Workshop Proceedings, 1996., IEEE

Conference_Location

Loen

Print_ISBN

0-7803-3629-1

Type

conf

DOI

10.1109/DSPWS.1996.555568

Filename

555568