Wavelet Analysis Of Deformation Monitoring Applications

The building distortion is one kind along with the time or the spatial variation signal, The distortion analysis essence is one kind of signal analysis; But the wavelet analysis is at present carries on one kind of new high performance the signal analysis method; The wavelet transformation, is the clear signal analyzes the newest effective tool. After the wavelet transformation is continues the Fourier transformation the harmonic analysis mathematics domain theory and the practice breakthrough, It has overcome the Fourier transformation and the short-time Fourier transformation limitation, can carry on the precise time frequency analysis to the signal. At the same time, the wavelet function multiplicity enable the wavelet transformation to have the very strong flexibility and the compatibility. Applies the distortion data processing the wavelet transformation, has the important theory significance and the practical value.This article has mainly studied the wavelet denoising elementary theory and in the distortion observation data denoising application. It altogether divides 5 chapters:First chapter:The introduction part, mainly introduced this article selects a topic the background and the significance, the distortion analyzes and distorts the forecast model research progress as well as the wavelet analysis and the wavelet denoising in the mapping the development history, the present situation.Second chapter:Introduced the wavelet analysis the elementary theory, first introduces the Fourier transformation and the wavelet transformation concept as well as the two difference and the relation, then introduction wavelet mathematics characteristic, several kind of classical wavelet functions.Third chapter:The detailed introduction based on the wavelet transformation three denoising method, including based on the wavelet mold maximum value denoising method, based on the wavelet territory criterion relevant denoising method and based on the wavelet threshold value denoising method, in which key point is based on the wavelet threshold value denoising method.Fourth chapter:First carries on the thorough discussion analysis to the wavelet base choice and the criterion parameter choice.Then carries on the wavelet denoising through the Matlab platform to the displacement observed value weiyi data, and carries on the strange examination to it.Fifth chapter:To the full text summary and the expectation which works to the future.