MATLAB-Based Wavelet Analysis For Seismic Signal Denoising Research

Signal and signal processing is the fastest growing disciplines in the last twodecades, signal de-noising is the most common signal processing process, the classicsignal de-noising methods, such as pure time-domain method, pure frequency domainmethod, Fourier transform, etc. , each has its application limitations. The Fouriertransform is a global transformation, that is, the characterization of the signal either inthe time domain or frequency domain. Expressed as a frequency domain spectrum orpower spectrum, frequency domain does not tell us of a certain frequency componentsappear at what time and how it changes, so this is not enough for the non-stationarysignal processingAs an excellent mathematical analysis tool，Wavelet transform is being more andmore important in engineering practice and has replaced the role of the conventionalFourier transform in many research fields. The wavelet transform-scale analysis methodhas the characteristics of multi-resolution, which in the time and frequency domainhave a good localized nature it can be carried out on any frequency components finedescription of a "mathematical microscope," This study aims to explore wavelettransform theory, and the combination of professional study of seismic signalde-noising.This text regards the wavelet transform as the core explains its principles in detail,which leads to the wavelet transform theory. This includes not only the continuouswavelet, multire solution analysis methods also include the comparison of traditionalFourier transform clear the superiority of its performance characteristics in theory.Noise in the signal, on the basis of characteristics, so we can particularly the noisecharacteristics of the seismic signal is given wavelet de-noising diagram of the process.The signal de-noising decomposition in the process of remodeling on the theoreticalmethod, and the combination with a quadratic function and the inverse tangent function,construct a new threshold function using matlab simulation simulation results show that the new thresholddenoising function to achieve better than the commonly usedfunctions of several threshold denoising can be used for the processing and analysis ofthe seismic signal denoising.