Acta Metrologica Sinica  2012, Vol. 33 Issue (6): 559-564    DOI: 10.3969/j.issn.1000-1158.2012.06.18
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Weak Periodic Signal Detection Based on a Deformable Lorenz Detection System and the Maximum Lyapunov Exponent
MENG Ling-ling,SONG Yan-jun,WANG Xiao-dong
College of Information Science and Engineering, Yanshan University, Qinhuangdao, Heibei 066004, China
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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.
Key wordsMetrology      Weak signal detection      Cross-correlation      Chaotic detection      Lyapunov exponents     
PACS:  TB97  
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MENG Ling-ling
SONG Yan-jun
WANG Xiao-dong
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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[J]. Acta Metrologica Sinica, 2012, 33(6): 559-564.
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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2012.06.18     OR     http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2012/V33/I6/559
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