Singular signal detection with fractal

Singularities and irregular structures often carry the most important information in signals. The method of singular signal detection based on fractal technique is presented at the beginning of this paper. Mathematics model of singular signal is expressed with local Lipschitz exponent. The characteristics of singular signal and the principle of this detection method are introduced; and the algorithm of this detection method is discussed in detail. According to short-duration grille fractal dimension of signal, information like the start-time and end-time of singular signal can be obtained. The experimental results verify that the method can detect singular signals in the electrical power system accurately. Finally this detection method with fractal is no more complex and can be implemented easily.