Design Of Broadband Generators Using Chaotic Electronic Circuits

Nonlinear discrete-time dynamic systems with chaotic behaviour are known to generate noise-like signals which have a power density spectrum distributed over a certain frequency range (broadband signals). This paper deals with the systematic design of such systems which generate signals with prescribed probability density function (pdf) and power density spectrum (pds). I. INTRODUCTION The nonlinear discrete-time system is described by the state equations x(k + 1) = f (x(k)); k = 0; 1; 2; : : : (1) where x is the state vector of the system, k the discrete-time variable, and f a map of the state space into itself. For defined properties of f the system will generate a chaotic sequence. In this paper the design algorithms for three special kinds of systems are discussed: ffl one-dimensional continuous-value systems where the map f is realised according to the prescribed signal properties, ffl n-dimensional binary-value systems with a state matrix f adapted to the prescribed signal pro..

Generation of Broadband Noise-Like Signals for Measurement and Location Purposes

This paper considers the generation of chaotic signals and selected application fields with emphasis to measurements. Table 1.1 summarises the features for the application of chaotic systems and signals in different signal processing schemes. The second column describes properties which make chaos applications comparable and thus alternative to conventional techniques whereas the third column lists the properties which make the use of chaotic signals advantageous in comparison with existing solutions in the corresponding processing scheme. The following report summarises the results of our research in detail. It describe