信号奇异性分析

信号的奇异性往往携带了信号最重要的信息,因此,对奇异性的研究是一项很有价值的工作。由于传统的信息处理工具(如傅氏变换)在奇异性处理方面的局限性,该文利用多重分形理论来对信号的奇异性进行分析,并给出计算算法和一些初步的结果,同时结果分析也表明了多重分形理论是分析信号奇异性的有效方法.

ANALYSIS OF SIGNAL SINGULARITY

Singularity often carries the most important information of signal, so it is valuable to study the singularity of signal. Because of the limitation of classical approaches (such as Fourier transform) in processing the singularity of signal, this paper applies multifractal theory to analyse the singularity of signal, and presents an algorithm and some fundamental results which indicate that multifactal theory is really a useful tool for analysing signal singularity.