Haar尺度函数下多分辨分析的鞅性及其在信号处理中的应用  

The Martingale Analysis in the Multiresolution Analysis under the Haar Scaling Function and Its Application in the Signal Processing

作　　者：罗毅[1] 刘国岁[1] 

机构地区：[1]南京理工大学电子工程与光电技术学院,南京210094

出　　处：《南京理工大学学报》1999年第4期300-304,共5页Journal of Nanjing University of Science and Technology

摘　　要：该文将随机分析理论引入Ｈａａｒ 尺度函数下的多分辨分析，证明了Ｈａａｒ 尺度函数下多分辨分析的鞅性。在此基础上利用构造相应的停时对鞅做局部化的手法对原信号进行重构或去噪声。In this paper,the method of stochastic analysis is used in multiresolution analysis.It is found that a signal decomposed by multiresolution analysis under the Haar scaling function is a martingale.By using stochastic integral,the signal can be reconstructed.

关 键 词：鞅 随机积分 Haar尺度函数 信号处理 多分辨分析 

分 类 号：O211.6[理学—概率论与数理统计] TN911.7[理学—数学]