Title :
Correlation theory of a class of n-dimensional piecewise linear Markov systems
Author :
Götz, Marco ; Schwarz, Wolfgang
Author_Institution :
Inst. fur Grundlagen der Elektrotech. und Elektronik, Tech. Univ. Dresden, Germany
Abstract :
In this paper the determination of the 1-th and 2-th order correlation functions of chaotic sequences is considered. A calculus for n-dimensional fully stretching piecewise linear systems is given where the spectral decomposition of the Frobenius-Perron-operator is used. It is shown that the reduction of the operator to finite dimensional subspaces is the core of the calculation method
Keywords :
Markov processes; chaos; correlation theory; piecewise-linear techniques; spectral analysis; Frobenius-Perron-operator; chaotic sequences; correlation theory; finite dimensional subspaces; fully stretching piecewise linear systems; n-dimensional piecewise linear Markov systems; spectral decomposition; Calculus; Chaotic communication; Equations; Piecewise linear techniques; Signal analysis; State-space methods; Vectors; Volume measurement;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621920
