Generation of chaotic signals with n-dimensional uniform probability distribution by digital filter structures

Abstract

This paper deals with the generation of chaotic signals which have a uniform probability distribution up to nth-order. First a generator structure containing a static nonlinearity and a dynamical subsystem is deduced and the system characteristics are specified. Then conditions for the generation of continuous-value signals with nth-order uniform distribution are derived. For the special case of digital filter structures with chaotic behaviour the condition is simply that one specified parameter has to be an integer. Finally problems of continuous-value and discrete-value analysis and realisation are discussed. Some simulation results are provided.