A new approach to detecting weak signal in strong noise based on chaos system control

In this paper,a chaos system and proportional differential control are both used to detect the frequency of an unknown signal.In traditional methods the useful signal is obtained through the Duffing equation or other chaotic oscillators.But these methods are too complex because of using a lot of chaos oscillators.In this paper a new method is presented that uses the R¨ossler equation and proportional differential control to detect a weak signal frequency.Substituting the detected signal frequency into the Ro¨ssler equation leads the R¨ossler phase state to be considerably changed.The chaos state can be controlled through the proportional differential method.Through its phase diagram and spectrum analysis,the unknown frequency is obtained.The simulation results verify that the presented method is feasible and that the detection accuracy is higher than those of other methods.