信号奇异性的Lipschitz意义  

Lipschitz Significance of Signal Singularity

作　　者：王东[1] 丁宣浩[1] 陈利霞[1] 

机构地区：[1]桂林电子工业学院计算科学与应用物理系,广西桂林541004

出　　处：《桂林电子工业学院学报》2003年第5期9-12,共4页Journal of Guilin Institute of Electronic Technology

基　　金：广西区科学基金资助(0135007).

摘　　要：奇异信号往往带有一些重要信息,奇异性检测就是要将信号奇异点检测出来并判断奇异性程度。一般用Lipschitz指数来描述信号的奇异性,它对信号奇异性有比连续和可微更精细的描述。通过引入奇异信号的n类奇异性,在Mallat等人的基础上讨论了奇异信号Lipschitz指数定义,同时对Lipschitz指数为非负整数时信号的奇异性进行了研究。The singular signal always brings some important information. Lipschitz exponent can be used to describe signal singularities in general. It gives more accuracy description than continuity and differential. So it is necessary to research the lipschitz significance of signal singularity. In this paper, the authors discuss the definition of Lipschitz exponent on the basis of Mallat's work. The lipschitz significance of singular signal is described in detail. Several characters are researched on the lipschitz exponent when the exponent is nonnegative by introducing the concept of nclassified singularity. At last several examples are discussed.

关 键 词：奇异信号 奇异性检测 Lipschitz指数 奇异点 

分 类 号：TN911.23[电子电信—通信与信息系统]