小波变换在信号奇异性检测中的应用

Application of Wavelet Transform to the Detection of Singularity of Signal

小波变换是近十年来迅速发展起来的学科,它与傅里叶变换相比,是一个时间和频率的局部变换.它的主要特点是将信号表示为不同尺度和不同位置的基本单元,而不同的基本单元表示原始信号中的不同信息成分,这种特点使小波变换成为一种高效的信号处理工具.在信号分析中,因为奇异点包含了比较重要的信息,因此信号的奇异性检测甚为必要.本文介绍了信号奇异性的小波变换检测原理,通过对仿真信号的分析表明在信号奇异性的检测中小波变换优于傅里叶变换.

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.