Research On Anti-noise Performance And Weak Signal Detection Of Chaotic System

Chaotic detection of weak signal is based on the sensitivity of chaotic system to initial value,so that the state of the system can be changed in a very small perturbation.Research shows that the chaotic system has a strong anti-noise performance,can achieve a lower detection signal to noise ratio.This paper will establish a fractional order chaotic system and integer order chaotic system to research their anti-noise performance and weak signal detection application,and compare with the traditional weak signal detection methods.The main research contents and results are as follows:(1)The fractional order Duffing system and integer order Duffing system are built and simulated by Simulink platform.Through the factor of amplified and frequency which influence the status of system to analyze the Anti noise performance of fractional order system and integer order system.By comparing the signal to noise ratio(SNR)of the system,the best amplitude and frequency parameters of the integer order and fractional order systems are obtained.The results shows that fractional order system has better anti noise performance.(2)The fractional order system and integer order system with best anti noise performance are applied to the different kinds of weak signal detection,and comparative analyze with the integer order Duffing system,spectrum analysis,wavelet transform method,Winger-Hough transform method.It is proved that the fractional Duffing system has obvious advantages in the weak signal detection performance under the same experimental environment.In addition,the effect of noise on the detection performance of different fractional order systems is discussed,through experiments,in a certain range,the noise of different means will affect the trajectory of the system and the critical threshold of chaos,but the system still can achieve effective detection of weak signal.(3)Through the analysis of the fractional Duffing equation and weak signal characteristics,derived the existence of Non-Detection Area.The Non-Detection Area Removed Algorithm is gived,The simulation results show that the algorithm is effective.