报告题目：Signal recovery associated with prolate spherical wave Functions
主 讲 人 ：高洁欣 澳门大学教授
报告时间：2018年3月28日下午14:30
报告地点：科技楼703
主办单位：理学院
Abstract: Signal recovery is one of the most important problem in signal processing. This study proposes a novel signal recovery method based on prolate spherical wave functions (PSWFs). PSWFs are a kind of special functions, which have been proved having good performance in signal recovery. However, the existing PSWFs based recovery methods used the mean square error (MSE) criterion, which depends on the Gaussianity assumption of the noise distributions. For the non-Gaussian noises, such as impulsive noise or outliers, the MSE criterion is sensitive, which may lead to large reconstruction error. Unlike the existing PSWFs based recovery methods, our proposed PSWFs based recovery method employs the maximum correntropy criterion (MCC), which is independent of the noise distribution. The proposed method can reduce the impact of the large and non-Gaussian noises.
主讲人介绍
高洁欣，女，1974年生，2005年毕业于澳门大学科技学院数学系（导师是钱涛教授），是澳门大学培养的首位数学博士。2006年在英国剑桥大学，克莱尔堂应用数学研究中心访问，并成为其终身会员。现为澳门大学科技学院副教授，博士生导师。主持国家青年基金项目1项，澳门科学技术发展基金3项。主要从事欧几里德空间上的调和分析，四元数分析，克利福德分析，傅里叶分析，信号处理及时频分析的理论及应用的研究。近年来，在国内外重要的学术期刊J. Differential Equations、J. Functional Analysis、Applied Mathematics and Computation、Signal Processing、Journal of Modern Optics、Journal of Mathematical Analysis and Applications、 IEEE Transactions on Image Processing等上发表论文43篇，并担任美国数学会和IEEE Transaction等系列文摘评论员。
