RETRACTED: A Method of Weak Signal Detection Based on Duffing Oscillator (Retracted Article)

A new signal detection and estimation method based on the intermittency transition between order and chaos is proposed. Using Melnikov function to determine the threshold of the detection system is introduced. The characteristic of Duffing oscillators with the changing of dynamics of the system is analysed. The method of detection of weak signals in strong noise based on Duffing oscillators is studied by exploiting characteristic of phase changing from chaos state to great periodic state of system nearby critical coefficient. Through analysing the intermittent chaos mechanism of Duffing oscillator, it was found that the system output is a intermittent chaotic signal when input frequency deviates the compulsory drive frequency slightly, and the deviation can be estimated by the statistic characteristic of output chaotic signal. The experiments results indicate that the signal detection method based on Duffing oscillator can detect weak sinusoidal signals with extremely low signal to noise ratio and accurately calculate to-be-detected signal frequency.