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Simulation and theoretical analysis on detection of the frequency of weak harmonic signals based on a special chaotic system

Yang Bao-Jun Li Yue Lin Hong-Bo Liu Xiao-Hua

Simulation and theoretical analysis on detection of the frequency of weak harmonic signals based on a special chaotic system

Yang Bao-Jun, Li Yue, Lin Hong-Bo, Liu Xiao-Hua
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  • Received Date:  31 August 2004
  • Accepted Date:  27 September 2004
  • Published Online:  10 May 2005

Simulation and theoretical analysis on detection of the frequency of weak harmonic signals based on a special chaotic system

  • 1. (1)吉林大学地球物理系,长春 130026; (2)吉林大学信息工程系,长春 130012

Abstract: In order to study a kind of chaotic system which is based on the special Duffing-Homes equation, and use it to detect the unknown frequency of weak harmonious s ignals, we prove the existence of the periodic solution and the exclusivism of the solution, carry out simulation experiments to detect harmonious frequency us ing the periodic trajectory of a stable phase state.We also compute the detectio n error |Δω|,when the damping ratio (α) changes and the frequency changes fro m 1Hz to 200Hz. The results show that we have to choose the value of α correspo nding to the different range of frequency by simulation experiments.

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