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《Journal of Vibration and Shock》 2011-07
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Wavelet threshold de-noising based on multiple hypothesis test

DU Wen-liao1,2,LIU Cheng-liang1,LI Yan-ming1(1.School of Mechanical Engineering,Shanghai Jiaotong University,Shanghai 200240,China; 2.School of Mechanical and Electronic Engineering,Zhengzhou University of Light Industry,Zhengzhou 450002,China)  
Threshold de-noising method based on wavelet transformation is an effective approach to reduce white noise in digit signals.Considering different characters of signal and white noise in wavelet domain,a novel algorithm to determine wavelet threshold was proposed with multiple hypothesis test.Since a wavelet de-noising transformation process could be regarded as a multiple hypothesis test process and both step-up and step-down procedures could control false discovery rate(FDR),the new method FDR step-up-down procedure formed by combining the above-mentioned procedures was used to determine the wavelet threshold.An attractive advantage of this method was that it could obtain the desired result by adjusting the FDR level flexibly.The simulated numerical results showed that this method works as effectively as the hearsure method and gives better signal to noise ratio(SNR) gains and MSE performance than both the traditional BH FDR and sqtwolog method.The selection of the significance level was also discussed,and it was pointed out that the relationship between significant level and improvement of SNR is nonlinear.Then,the tactic of selecting proper significant level was proposed.
【Fund】: 国家高技术发展计划(863)(2009AA043000-2009AA043001);; 工信部数控重大专项(2009ZX04014-103);; 上海市重大技术装备技术支撑体系建设专项(zx08070)资助项目
【CateGory Index】: TN911.72
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