光华讲坛——社会名流与企业家论坛第4803期

主 题：Sparse representation of signals with non-linear Fourier atoms

主讲人：Yi Wang，Auburn University at Montgomery

主持人：365体育在线备用网址经济数学学院 马敬堂教授

时 间：2017年12月21日（星期四）上午10:30

地 点：通博楼B412

主办单位：经济数学学院 科研处

主讲人简介：

Dr. Wang is  Professor of Mathematics and Department Chair  at Auburn University Montgomery (AUM).  He received his second Ph.D. in mathematics from West Virginia University, USA in 2003, and his first Ph.D. in mechanical engineering from Southwest Jiaotong University, China in 1997. His current research is mainly focus on optimization, operation research and machine learning. 

报告摘要：

In this talk, we study the sparse representation of a finite energy signal with intrinsic mode functions in a dictionary consisting of non-linear Fourier atoms. Each non-linear Fourier atom is a mono-component with a physically meaningful non-negative instantaneous frequency. The sparse representation is obtained adaptively by an orthogonal matching pursuit using a two-level greedy search. It is demonstrated that the representation has efficient energy decay in error compared to the Fourier expansion and wavelet expansion.