摘要
信号小波变换模的局部极大值和信号奇异性之间存在对应关系,利用信号和噪声小波变换模极大值在不同尺度上表现出的截然不同的性质,可以对奇异信号进行消噪。本文讨论了小波消失矩的阶数与信号Lipschitz指数间的关系,分析了消失矩对奇异信号检测的影响。实验结果表明,为了有效地检测奇异信号的各种奇异性特征,需要根据信号奇异性选择具有不同消失矩的小波。
The wavelet transform modular maximum of signal corresponds to the singularity of signal. Because the wavelet transform modular maximum of signal is contrary to one of noise on different scales, the noise can be eliminated from the signal. The relationship between vanishing moments of wavelet and Lipschitz exponent of signal is discussed. Then the influence of vanishing moments on the detection of signal with singularity is analyzed. The experimental results show that it is necessary to choose appropriate wavelets with different vanishing moments to detect effectively signals with different singularities.
出处
《雷达科学与技术》
2006年第1期31-35,共5页
Radar Science and Technology
基金
全国优秀博士学位论文作者专项基金(No.200237)
关键词
小波变换
奇异性
模极大值
消失矩
wavelet transforrn
singularity
modular maximum
vanishing moments
