Weak photoacoustic signal detection based on the differential Duffing oscillator. (English) Zbl 1423.94020
Summary: In view of photoacoustic spectroscopy theory, the relationship between weak photoacoustic signal and gas concentration is described. The studies, on the principle of Duffing oscillator for identifying state transition as well as determining the threshold value, have proven the feasibility of applying the Duffing oscillator in weak signal detection. An improved differential Duffing oscillator is proposed to identify weak signals with any frequency and ameliorate the signal-to-noise ratio. The analytical methods and numerical experiments of the novel model are introduced in detail to confirm its superiority. Then the signal detection system of weak photoacoustic based on differential Duffing oscillator is constructed, it is the first time that the weak signal detection method with differential Duffing oscillator is applied triumphantly in photoacoustic spectroscopy gas monitoring technology.
MSC:
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
Keywords:
Duffing oscillator; differential Duffing oscillator; signal-to-noise rate; weak photoacoustic signal detectionReferences:
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