Abstract
The traditional weak signal detection makes it difficult to detect nV level signal under strong noise background, so it proposes a new detection method of improving fractional order Duffing oscillator (IMFR-Duffing). Using variable substitution method for improving conventional fractional order Duffing equation obtained a mathematical model of IMFR-Duffing oscillator. It studied anti-noise performance of applying this mathematical model to low frequency nV level weak signal detection in the Gaussian and non-Gaussian noise background. The detection results of contrasting the IMFR-Duffing with the integer order Duffing oscillator verify the effectiveness of the proposed method, and the minimum signal-to-noise ratio (SNR) threshold is reduced by 10 dB. The simulation results show that the lowest SNR threshold of the IMFR-Dufffing oscillator reaches -73 dB in Gaussian white noise, -57 dB in Gaussian colored noise and -153 dB in symmetric Alpha stable distribution noise, and the amplitude detection has higher precision.
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