Abstract：A deformable Lorenz chaos detection system is proposed.The system has two kinds of states,chaotic state and class periodic state.Approximate periodic solutions of the systems is deduced from the average method.Deformable Lorenz system and state feedback control are used together to detect the frequency of weak signal.Deformable Lorenz system is controlled to critical state from chaotic state to class periodic state.The method of spectrum analysis is used to measure the frequency of the detected signal.Simulation experiment shows this method has higher detection precision.Finally,the frequencies to different frequency weak sine signals and non-sine signals are detected,the results show that the system is feasible and effective.
孟玲玲, 宋艳君, 王晓东. 基于变形Lorenz系统微弱周期信号频率检测新方法[J]. 计量学报, 2013, 34(5): 480-485.
MENG Ling-ling, SONG Yan-jun, WANG Xiao-dong. New Method of Weak Periodic Signal Frequency DetectionBased on a Deformable Lorenz System. Acta Metrologica Sinica, 2013, 34(5): 480-485.
［1］ Birx D I, Pipenberg S J． Chaotic oscillators and complex mapping feed forward networks(CMFFNS) for signal detection in noisy environments［C］//IEEE International Joint Conference on Neural Networks,Baltimore,MD,1992.
［2］ Li Y, Yang B J, Lu P, et al. Detecting technique of weak periodic pulse signal via synthesis of cross-correlation and chaotic system［J］.Journal of Electronics,2003,20(5):397-400. ［3］ Wang G Y, He S L.A quantitative study on detection and estimation of weak signals by usin g chaotic Duffing oscillators［J］.IEEE Transcations on Circuits and System,2003,50(7):945-953.
［4］ Wang G Y, Chen D J, Lin J Y, et al． The application of chaotic oscillators to weak signal detection［J］.IEEE Transactions on Industrial Electronics,1999,46(2):440-444.
［5］ Hang S Q, Wu Y, Jiao G H.The feasibility analysis of weak signal detection based on chaos theory［J］.The Technology of Testing And Control,2002,21(7):53-54.
［6］ 王玫,颜勇,张慧峰．基于双Duffing振子差分的微弱信号频率检测［J］.电路与系统学报,2010,15(2):118-121.
［7］ Xu Y C, Yang C L, Qu X D. A new approach to detecting weak signal in strong noise based on chaos system control［J］.Chin Phys B, 2010,19(3): 030516.
［8］ Zhao C T, Cai T X, Lai C H, et al. Model-based detector and extraction of weak signal frequencies from chaotic data［J］.American Institute of Physics,2008,18(1):013104.
［9］ 聂春燕．混沌系统与弱信号检测［M］.北京:清华大学出版社,2009.
［10］ 陈予恕．非线性振动系统的分叉和混沌理论［M］.北京:高等教育出版社,1993.
［11］ Chen G, Dong X. On feedback control of chaotic nonlinear dynamic system［J］.Int J Bifurcation and chaos,1992,1:407-411.
2013, Vol. 34 
