On the analysis of the dynamics and synchronization of chaotic modulation and demodulation in UWB communication and positioning systems

The paper studies synchronization transitions in a system of coupled non-identical self-sustained chaotic oscillators of the Rossler type. The interest devoted to the Rossler oscillators is motivated by their capability to behave chaotically at very high frequencies. Both phase synchronization and lag synchronization are analyzed numerically in terms of a coupling parameter. It is shown that both types of synchronization can be achieved when monitoring a coupling parameter. The advantage of using one parameter to insure both types of synchronization is found in practical realizations. Indeed, one should monitor only one resistor to predict the boundaries of the control resistor for the occurrence of each type of synchronization. Another advantage of monitoring only one resistor is found in the accuracy of results. An experimental study of the synchronization process is carried out. Experimental waveforms (time evolution of the solutions) in the drive and response systems are obtained. The waveforms are compared to confirm the achievement of synchronization experimentally. One of the advantages of using analog simulation is the possibility of analyzing the behavior of the coupled system at very high frequencies by performing an appropriate time scaling. This offers the possibility of using our coupled system for UWB applications.