主 题：Sparse representation of signals with non-linear Fourier atoms
主讲人：Yi Wang，Auburn University at Montgomery
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.
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.