Abstract
Over the last couple of decades, many methods for synchronizing chaotic systems have been proposed with communications applications in view. Yet their performance has proved disappointing in face of the nonideal character of usual channels linking transmitter and receiver, that is, due to both noise and signal propagation distortion. Here we consider a discrete‐time master‐slave system that synchronizes despite channel bandwidth limitations and an allied communication system. Synchronization is achieved introducing a digital filter that limits the spectral content of the feedback loop responsible for producing the transmitted signal.
Highlights
Since Pecora and Carroll’s seminal work 1, much has been written about the potential usefulness of chaotic synchronization in communication systems e.g., 2–8
A way to combat the harmful effects of a bandlimited channel on the communication system of Figure 1 is to insert a filter HS ω in the feedback loops of both the transmitter and the receiver so that the total transmitted signal power is contained within the channel bandwidth
We proposed a discrete-time communication system using chaotic signals for bandlimited channels
Summary
Since Pecora and Carroll’s seminal work 1 , much has been written about the potential usefulness of chaotic synchronization in communication systems e.g., 2–8. Reasonable results have only been attained when the Mathematical Problems in Engineering channel filters are represented by low-order filters These methods usually unrealistically assume perfect channel frequency response knowledge at the receiver 6. Rulkov and Tsimring 6 and Eisencraft and Gerken 14 independently proposed a method for synchronizing transmitter and receiver using chaotic signals under bandwidth limitations. An analog circuit implementation was proposed by 6 We extend this method to discrete-time dynamical systems 8, 15–17. This is followed by the description of an allied communication system whose performance under bandwidth limitation is simulated.
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