基于分形的奇异信号的检测

提出了基于分形的奇异信号的检测方法，给出了奇异信号的数学模型、检测原理和实现算法。根据所计算的短时网格分形维数，判断是否有突变信号以及确定其发生时刻。以电力系统中突变信号为例进行仿真，证明该方法能准确有效地检测到突变信号，并能精确地确定突变信号的发生时刻和突变类型。

Detection of Singular Signal Based on Fractal Technique

Singularities and irregular structures often carry the most important information in signals,which is one of important characteristics for the signal. It is necessary to detect the singular points from the detected signal. The method for singular signal detection based on fractal technique is presented. Mathematical model of singular signal is expressed with Lipschitz index; the characteristics of singular signal and the principle of this detection method are introduced; and the algorithm of this detection method is discussed. According to short-duration grille fractal dimension, the information like the start-time and end-time of singular signal can be obtained. Experimental results verify that the method can accurately detect singular signal in the electrical power system. And there are many advantages for fractal technique used to detect singular signal: (1) This method can detect the dynamic change of singular signal effectively. (2) It can simultaneously provide the value of short-duration grille fractal dimension and information of time domain. (3) It can detect the place and the time of singular points. (4) The algorithm for this detection method is no more complex and can be easily implemented.