Title :
Statistical analysis of chaotic Markov systems with quantised output
Author :
Götz, Marco ; Schwarz, Wolfgang
Author_Institution :
Fac. of Electr. Eng., Tech. Univ. Dresden, Germany
Abstract :
Quantised chaotic sequences can be used as broadband signals in communication and measurement. In this paper we provide a comprehensive statistical analysis of sequences obtained by quantising the chaotic trajectory of piecewise linear n-dimensional Markov systems. On the base of the function space description of chaotic systems explicit expressions for correlation functions and characteristic functions of arbitrary order are derived. Finally we demonstrate how the analysis can be applied to quantised correlation sequence design
Keywords :
Markov processes; chaos generators; correlation theory; piecewise linear techniques; quantisation (signal); sequences; statistical analysis; broadband signal generation; characteristic function; correlation function; function space; piecewise linear n-dimensional Markov system; probability distribution; quantised chaotic sequence; statistical analysis; Chaos; Piecewise linear techniques; State-space methods; Statistical analysis; System testing; Tin;
Conference_Titel :
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location :
Geneva
Print_ISBN :
0-7803-5482-6
DOI :
10.1109/ISCAS.2000.857405
