Analysis of a kind of Duffing oscillator system used to detect weak signals |
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Authors: | Li Yue Yang Bao-Jun Yuan Ye and Liu Xiao-Hua |
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Institution: | Department of Information Engineering, Jilin University, Changchun 130012, China; Department of Geophysics, Jilin University, Changchun 130026, China |
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Abstract: | The stability of the periodic solution of the Duffing oscillator
system in the periodic phase state is proved by using the Yoshizaw
theorem, which establishes a theoretical basis for using this kind of
chaotic oscillator system to detect weak signals. The restoring force
term of the system affects the weak-signal detection ability of the
system directly, the quantitative relationship between the
coefficients of the linear and nonlinear items of the restoring force
of the Duffing oscillator system and the SNR in the detection of weak
signals is obtained through a large number of simulation experiments,
then a new restoring force function with better detection results is
established. |
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Keywords: | Duffing oscillator system periodic phase state restoring force function SNR weak signal detection |
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