Time-Shifted Synchronization Applied into the Low-Cost Chaos Radar

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 246)


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.


Chaos radar Time-shifted synchronization Wideband beam-forming 



This work is supported by the National Natural Science Foundation of China (Grant Nos. 61101172, 61032010).


  1. 1.
    Corron NJ, Blakely JN, Stahl MT (2010) A matched filter for chaos. Chaos 20:023123CrossRefGoogle Scholar
  2. 2.
    Blakely JN, Corron NJ (2010) Concept for low-cost chaos radar using coherent reception, Proc. of SPIE, Vol. 80211H-1, DOI:  10.1117/12.884688
  3. 3.
    Corron NJ, Stahl MT, Blakely JN (2010) Exactly solvable chaotic circuit, ISCAS Proc of IEEE, pp. 1356–1359, DOI:  10.1109/ISCAS.2010.5536943
  4. 4.
    Corron NJ, Blakely JN, Stahl MT (2010) A matched filter for communicating with Chaos. AIP Conf Proc 1339:25–35Google Scholar
  5. 5.
    ZhiXi L, Narayanan RM (2006) Doppler visibility of coherent ultraband random noise radar systems. IEEE Trans Aerospace Electron Syst 42(3):904–916. doi: 10.1109/TAES.2006.248211 CrossRefGoogle Scholar
  6. 6.
    Dolfi D, Joffre P, Huignard JP et al (1996) Experimental demonstration of a phased-array antenna optically controlled with phase and time delays. Appl Opt 35(26):5293–5300CrossRefGoogle Scholar
  7. 7.
    Corron NJ, Blakely JN, Pethel SD (2005) Lag and anticipating synchronization without time-delay coupling. Chaos 15:023110CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.School of Electronic EngineeringUniversity of Electronic Science and Technology of ChinaChengduChina

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