Abstract：A deformable Lorenz chaos detection system is proposed. The system has two kinds of states, chaos state and class period state. The maximum Lyapunov exponent is used to distinguish chaos state from class period state as the quantification basis. It can automatically identify the critical state of chaotic systems and can more accurately determine the presence of weak signals.The chaos detection combines with the cross-correlation detection method to achieve weak periodic signals detection in strong noise. Simulation results show that the system can effectively detect weak periodic signals in strong noise.
孟玲玲,宋艳君,王晓东. 基于变形Lorenz系统和李雅普诺夫指数的微弱周期信号检测[J]. 计量学报, 2012, 33(6): 559-564.
MENG Ling-ling,SONG Yan-jun,WANG Xiao-dong. Weak Periodic Signal Detection Based on a Deformable Lorenz Detection System and the Maximum Lyapunov Exponent. Acta Metrologica Sinica, 2012, 33(6): 559-564.
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2012, Vol. 33 
