On the basis of discussing soft-thresholding and hard-thresholding methods for wavelet de-noising

a double-threshold is proposed and the genetic algorithm is used to optimize two thresholds T1 and T2.This new method can effectively overcome the Psuedo-Gibbs phenomenon of hard-thesholding method and intrinsic bias of soft-thresholding one.In addition

it can effectually remove high-frequency interfering signal arose out of noise from high-frequency signal.Simulated experiment results demonstrate that this new de-noising method can achieve higher signal to noise ratio（SNR） gain and lower mean square error（MSE） than traditional soft-thresholding and hard-thresholding methods in signal de-noising

and restores signal well.