According to the spectrum sensing problem under low signal-noise ratio (SNR) and dynamic noise in cognitive radio(CR)networks

this paper introduced nonlinear stochastic resonance(SR)of physics into spectrum sensing

and proposed an energy detection(ED)based on generalized stochastic resonance(GSR).For the proposed algorithm

SR noise was added to make nonlinear system

signal and noise matched

which modifies the probability distribution of the detection statistics

and confirms the existence of the signal effectively.This paper drive the probability density unction(PDF)of matched noise

and get some significant conclusions about the performance

effect of noise uncertainty and sensing time of the proposed algorithm.The simulation results validate the theory

and show that the proposed algorithm can improve the performance of existing energy detection at least 3dB under low SNR.The proposed algorithm also has less sensing time

low complexity and can effectively overcome the influence of the noise uncertainty.