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Weak Signal Frequency Detection Method Based on Generalized Duffing Oscillator |
SHI Si-Hong, YUAN Yong, WANG Hui-Qi, LUO Mao-Kang**
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College of Mathematics, Sichuan University, Chengdu 610064
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Cite this article: |
SHI Si-Hong, YUAN Yong, WANG Hui-Qi et al 2011 Chin. Phys. Lett. 28 040502 |
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Abstract The sensitive characteristic to the initial value of chaos system sufficiently demonstrates the superiority in weak signal parameters detection. Analyzing the current chaos-based frequency detection method, a novel generalized Duffing equation is proposed to detect weak signal frequency. By choosing a suitable adjusting factor, when the outside driving force frequency is equal to that of the detected signal, the generalized Duffing oscillator is in great period state, which can obtain the frequency information of the detected signal. The simulation results indicate this method is rapidly convenient and shows better accuracy.
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Keywords:
05.10.-a
05.45.-a
05.45.Gg
05.45.Pq
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Received: 03 September 2010
Published: 29 March 2011
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PACS: |
05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Gg
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(Control of chaos, applications of chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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