Conditions for synchronizing a master-slave bandlimited chaos-based communication system

In recent years, many communication systems that encode information in a chaotic signal were studied. To tackle bandwidth constraints, bandlimited chaos-based communication systems were proposed, showing the possibility of controlling the chaotic signals spectra using digital filters. Since these filters modify the original system, it is necessary to study how their insertion affects the chaotic synchronization. In this work we demonstrate that synchronization is attained independently of the filters coefficients.