The Fractional Order Duffing Oscillator Detection Method for Nanovolt Level Weak Signal

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.