Application of wavelet packet method based on LMD in deformation monitoring data denoising
The wavelet packet denoising method was introduced in this paper based on traditional LMD technology to construct a new LMD based wavelet packet denoising method in order to solve the problems of engineering deformation monitoring data being disturbed by noise and unable to represent the true deformation trend of deformation bodies.The main steps used by this combined denoising method are as following.Firstly,LMD is used to decompose the original signal into several components,where the useful information of the signal is mainly contained in the low-frequency,and the noise is contained in the high-frequency.Secondly,wavelet packet method is used to denoise high-frequency and extract useful informa-tion from them as much as possible.Finally,both the high-frequency and low-frequency components of the denoising process are reconstructed to obtain the final denoised signal.Moreover,the denoising method proposed in this paper is validated using simulated signals and measured deformation monitoring signals.The results show that,compared with traditional LMD denoising methods and wavelet packet denoising methods,higher correlation coefficients and signal-to-noise ratio,lower root mean square error,and better denoising effects can be obtained by the denoising method proposed in this paper.
local mean decompositionwavelet packetdeformation monitoringdenoising method