Application of wavelet analysis in signal denoising
Lin Wen-bin
Abstract
Lin Wen-bin
Abstract
In view of the noise pollution in signal detection,this paper deals with the general theory of wavelet transform,the application of wavelet transform in signal de-noising as well as the analysis of the characteristics of noise polluter signal.In noise suppression domain,the Fourier transform and wavelet transform are applied more widely,but the Fourier transform can only be expressed in the frequency domain,and coefficients approach is relatively simple.Selecting the threshold at all levels after wavelet decomposition to suppress the noise component,wavelet transform is a more flexible means.At last,the Matlab used to be carried out the simulation where the different wavelet and different threshold of the same wavelet for signal de-noising are applied,simulation shows that the wavelet transform can achieve excellent results in signal de-nosing.
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In view of the noise pollution in signal detection,this paper deals with the general theory of wavelet transform,the application of wavelet transform in signal de-noising as well as the analysis of the characteristics of noise polluter signal.In noise suppression domain,the Fourier transform and wavelet transform are applied more widely,but the Fourier transform can only be expressed in the frequency domain,and coefficients approach is relatively simple.Selecting the threshold at all levels after wavelet decomposition to suppress the noise component,wavelet transform is a more flexible means.At last,the Matlab used to be carried out the simulation where the different wavelet and different threshold of the same wavelet for signal de-noising are applied,simulation shows that the wavelet transform can achieve excellent results in signal de-nosing.
Key concepts: Second-generation wavelet transform, Harmonic wavelet transform, Wavelet, Discrete wavelet transform, Wavelet transform, Stationary wavelet transform, Wavelet packet decomposition, Lifting scheme