A novel phase estimation method of weak sine signal by using chaotic oscillator

Abstract

The chaotic system is sensitive to certain signals and immune to noise at the same time, so the signal-to-noise-ratio (SNR) is improved greatly when the signal embedded in noises passes through the Duffing oscillator system in great period motion state. Based on the SNR improvement property of the Duffing system, a phase estimation method of weak sine signal is proposed. The phase of the output signal is estimated firstly, the relation between the output signal phase and the input signal phase is obtained, and so the phase of the input signal can be got. Digital simulation results prove that the estimation accuracy of the present method is better than both of our previous work and traditional ML estimation method applied to input signal in noise directly. Compared with our previous work, less data is needed.