A Synchronization-Based Algorithm for Calculating the Auto/Cross-Ambiguity Functions of Chaotic Signals

This paper develops a synchronization-based scheme for calculating auto/cross ambiguity functions (AF/CAF) of the wide-band chaotic signals. In the direct implementation, the formulation of the time-scaling chaotic signals takes much computational load and its accuracy determines the quality of the calculated AF/CAF diagrams. By exploring the generation of the chaotic signal, it is found in this paper that the generalized synchronization theory can be used to produce its time-delay and time-scaling versions. With this theory, the AF/CAF diagrams can be accurately obtained. Numerical simulations show the performance of the proposed scheme