Statistical analysis and design of chaotic switched dynamical systems

Author

Baranovski, A.L. ; Schwarz, W. ; Mögel, A.

Author_Institution

Inst. of Fundamentals of Electr. Eng. & Electron., Tech. Univ. Dresden, Germany

Volume

5

fYear

1999

fDate

1999

Firstpage

467

Abstract

The generation of continuous-time signals with prescribed statistical characteristics (probability density function and spectral power density) is usually solved by filtering a natural noise process or a binary shift register sequence. Here an alternative method is presented. It uses continuous-discrete systems with chaotic behaviour. This system class allows us to calculate the PDF and the PDS of the output signal from given system parameters. The results can be used in order to solve the inverse problem: generator design by determining the system parameters from given signal characteristics. Both problems are treated in general and solved for a class of linear systems with switched feedback. Analysis and design examples are given

Keywords

chaos generators; circuit feedback; continuous time systems; inverse problems; state feedback; statistical analysis; switched networks; chaotic behaviour; chaotic switched dynamical systems; continuous-discrete systems; continuous-time signal generation; inverse problem; linear systems; prescribed statistical characteristics; probability density function; spectral power density; statistical analysis; switched feedback; Chaos; Character generation; Filtering; Noise generators; Power generation; Probability density function; Shift registers; Signal generators; Signal processing; Statistical analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-5471-0

Type

conf

DOI

10.1109/ISCAS.1999.777610

Filename

777610