Title :
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
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;
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
DOI :
10.1109/ISCAS.1999.777610
