中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1202-1208.doi: 10.1088/1674-1056/17/4/009

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Breaking chaotic shift key communication via adaptive key identification

刘丁1, 韩崇昭2, 任海鹏3   

  1. (1)School of Automation and Information Engineering, Xi'an University of Technology, Xi'an 710048, China; (2)State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049, China; (3)State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049, China;School of Automation and Information Engineering, Xi'an University of Technology, Xi'an 710048, China
  • 收稿日期:2007-04-26 修回日期:2007-08-25 出版日期:2008-04-20 发布日期:2008-04-01
  • 基金资助:
    Project supported by the China Postdoctoral Science Foundation (Grant No 20060390318), Natural Science Foundation of Shaanxi Province (Grant No 2007F017) and Fok Ying Tong Education Foundation.

Breaking chaotic shift key communication via adaptive key identification

Ren Hai-Peng(任海鹏)a)b)†, Han Chong-Zhao(韩崇昭)a), and Liu Ding(刘丁)b)   

  1. a State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049, China; b School of Automation and Information Engineering, Xi'an University of Technology, Xi'an 710048, China
  • Received:2007-04-26 Revised:2007-08-25 Online:2008-04-20 Published:2008-04-01
  • Supported by:
    Project supported by the China Postdoctoral Science Foundation (Grant No 20060390318), Natural Science Foundation of Shaanxi Province (Grant No 2007F017) and Fok Ying Tong Education Foundation.

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摘要： This paper proposes an adaptive parameter identification method for breaking chaotic shift key communication from the transmitted signal in public channel. The sensitive dependence property of chaos on parameter mismatch is used for chaos adaptive synchronization and parameter identification. An index function about the synchronization error is defined and conjugate gradient method is used to minimize the index function and to search the transmitter's parameter (key). By using proposed method, secure key is recovered from transmitted signal generated by low dimensional chaos and hyper chaos switching communication. Multi-parameters can also be identified from the transmitted signal with noise.

关键词: chaotic shift key, adaptive synchronization, conjugate gradient method, parameter identification

Abstract: This paper proposes an adaptive parameter identification method for breaking chaotic shift key communication from the transmitted signal in public channel. The sensitive dependence property of chaos on parameter mismatch is used for chaos adaptive synchronization and parameter identification. An index function about the synchronization error is defined and conjugate gradient method is used to minimize the index function and to search the transmitter's parameter (key). By using proposed method, secure key is recovered from transmitted signal generated by low dimensional chaos and hyper chaos switching communication. Multi-parameters can also be identified from the transmitted signal with noise.

Key words: chaotic shift key, adaptive synchronization, conjugate gradient method, parameter identification

中图分类号:  (Quantum information)

  • 03.67.-a
05.45.-a (Nonlinear dynamics and chaos) 07.50.Qx (Signal processing electronics)