Research On The Seismic Response Of Structure Affected By De-noise And Decomposition Of Wavelet Analysis

Wavelet analysis is a novel mathematical theory and method proposed In 1980s. It is regarded as a breakthrough of Fourier analysis because It has many wonderful characteristics. Fourier analysis consists of breaking up a signal Into slue waves of various frequencies. Similarly, wavelet analysis is the breaking-up a signal into shifted and scaled versions of the original wavelet. Lacking of space locality in time domain, Fourier analysis can only make certain of the Integral singularity of a function or signal. As a result; It Is difficult to detect the spatial position and distribution of broken signal by Fourier analysis. Wavelet analysis has the characteristic of spatial locality, and its wideness in both windows of the time and the frequency can be adjusted, so it can analyze the details of a signal. Therefore Wavelet analysis is called a microscope of signal analysis and a milestone of Fourier analysis. As a new embranchment of mathematics. Wavelet analysis is the most perfect combination of the functional analysis. Fourier analysis and numerical analysis Wavelet analysis has been widely used in signal processing, image manipulation, voice analysis, pattern recognition, quanta physics, biomedicine engineering, computer vision, fault diagnosis, some nonlinear fields and so on. The dissertation is outlined below.In chapter 1 we will briefly introduce the history of Wavelet analysis's development, and also introduce some useful feature of the MATLAB software.In chapter 2 we introduce you the Wavelet analysis theory, and you can also find some important concept used in Wavelet analysis.In chapter 3 we introduce you the Wavelet analysis and time-frequency analysis.In chapter4 we will introduce the modulus maximum of Wavelet transform and the definition of singularity.In chapter 5 we will introduce the different noise, and you will know why and how we should transient signal denoise , you will also find some examples of transient signal denoise.Chapter 6 is devoted to use Wavelet analysis to transient the signal of ELCENTRO denoise, and to compare the Seismic response of tank to both signal. We also use the method of multiple-level decomposition to get what we want of the signal, and do some compare about the Seismic response of tank to this signal and the original signal. We find this method is practicable.