Title :
Study of Lyapunov Exponent of the Chaotic Signal Wave Interception
Author :
Chen Xiaoyu ; Min LeiHu
Author_Institution :
Dept. of Air Defense Command, Missile Instn. Air Force Eng. Univ., Sanyuan, China
Abstract :
Takens´s Delay Embedding Theorem is used in the paper to reconstruct the phase space of Lorenz chaotic signal, the intercepted length of which is researched with the ensurance of the Lyapunov exponents characteristic of Lorenz chaotic signal. And the method of intercepted length is proposed when reconstructing Lorenz chaotic signal without destroying Lyapunov exponents characteristic. Simulation results show that it is effective to the intercepted length of chaotic signal.
Keywords :
chaotic communication; delays; embedded systems; signal reconstruction; Lorenz chaotic signal reconstruction; Lyapunov exponents characteristic; Takens delay embedding theorem; chaotic signal wave interception; intercepted length method; phase space reconstruction; Chaotic communication; Correlation; Delay; Delay effects; Mathematical model; Orbits; Chaos; Lorenz attracting; Lyapunov exponent; Takens´s delay embedding theorem;
Conference_Titel :
Electrical and Control Engineering (ICECE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-6880-5
DOI :
10.1109/iCECE.2010.502
