Statistical analysis and design of chaotic switched dynamical systems

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.

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