Application of Improved Local Mean Decomposition in Deformation Monitoring Data Processing
Aiming at the defects of single local mean decomposition(LMD)method in signal denoising,this paper introduces singular spectrum analysis(SSA)method on the basis of LMD method,and constructs a new LMD-SSA combined denoising method.The steps of the combined denoising method are as follows:first,the signal is decomposed into several product functions(PF)using LMD method,and the dividing point of high-frequency PF component and low-frequency PF component is determined according to the con-tinuous mean square error;secondly,the SSA method is used to further process the high-frequency PF component and extract the use-ful information in the high-frequency PF component;finally,the useful information in the high-frequency PF component and the low-frequency PF component are reconstructed to obtain the final denoised signal.In order to test the effectiveness and superiority of the combined denoising method proposed in this paper,the simulated signal and the measured global navigation satellite system(GNSS)signal are used for denoising experiments.The results show that the combined denoising method proposed in this paper has better de-noising effect than the single LMD method and SSA method and can accurately extract the real deformation information in the original signal.
local mean decompositionsingular spectrum analysisdenoisingproduct functionglobal navigation satellite system