Detection of Singular Signal Based on Fractal Technique
Xiaofei Zhang · Nanjing Hangkong Hangtian Daxue xuebao · 2003
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.