在分析小波变换物理本质和奇异性检测原理的基础上，研究了小波基和白噪声对信号奇异性检测性能的影响。
Based on analyzing the physical essence and the principle of singularity detection, this paper discusses the effect of wavelet bases and white noise on signal singularity detection.
分别推导了分形信号和白噪声的小波系数统计量的公式，在此基础上用最大似然法进行参数估计。
We have derived the formulas for wavelet coefficients of the fractal signal and white noise separately on the basis of which the maximum likelihood method is used to estimate the fractal parameter.
在对带白噪声信号的小波变换特性分析的基础上，基于自相关函数的白噪声检验方法，提出了一种确定小波分解层数的自适应算法。
Threshold de-noising based on wavelet transform which is proposed to determine the decomposition order adaptively is an efficient method to reduce the white noise in the digital signal.
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