Time-Shifted Synchronization Applied into the Low-Cost Chaos Radar
In this paper we firstly report a design of time-shifted synchronization aimed at the low-cost chaos radar. Based on the theory by Voss (Phys Rev E 61(5): 5115–5119, 2000), we adopt the first-order Taylor formula to make the delay parameter correspond to the system parameters which are resistors and capacitors of the chaotic circuit. So we can control time delay by adjusting the resistors and capacitors of chaotic system. And we prove that it is feasible to realize the time delay in analog domain of chaotic signal generated by the low-cost chaos radar without a variable delay line. It is so significant in taking the place of the delay devices in the engineering filed that the cost of ultra-wideband chaotic beam-forming radar can be decreased. The simulation results suggest that generalized synchronization is maintained over the entire chain length. Compared with the traditional methods bringing about the time delay by the phase shifter, this article’s way only leads to a little attenuation. And the time delay can be controlled by adjusting the size of coupling parameters and the number of slave systems.
KeywordsChaos radar Time-shifted synchronization Wideband beam-forming
This work is supported by the National Natural Science Foundation of China (Grant Nos. 61101172, 61032010).
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