Application of Wavelet Transform to the Detection of Singularity of Signal

The wavelet transform is a new subject developed quickly in the past ten years.Compared with the fourier transform,the wavelet transform is a part of timefrequence transform.The most important character is that it can be used to transform a signal into basic units at different scales and location,each unit represents a component of original signal difference from others.The wavelet transform has been proven to be a powerful and efficient tool for processing signal due to this character.The singular point contains important information,so it is essential to detect singularity .This paper describes the principles and methods of the wavelet transform to the detection of singularity of signal.The simulation analysis results show that the wavelet transform is more advanced than the fourier transform.