In order to give a complete signal detection and estimation method based on Duffing system

this paper uses the coupling Duffing oscillator

and introduces the variable scale method

to detect and estimate the sinusoidal signal with unknown frequency and arbitrary phrase just by one Duffing oscillator.Besides

this paper puts forward a simplified method which is based on chaotic oscillator for estimating the amplitude and phase of the signal to be measured

and integrated method principle and the simulation experiment result proves that this method has high estimation precision

strong ability to resist noise interference and the advantages of good real-time performance.Finally

using a simulation result of a analog signal for verifying the availability and accuracy of the detection and estimation method is proposed.