Academic Lecture—One theorem, half a century of super-resolution

• 发布时间：[2025-04-24] 来源：[学院] 点击量：[1442]

Presentation Time: 10:00 AM, Thursday, April 24, 2025

Venue: Conference Room 501, West Building, School of Information Science, Wuhan University

Presentation Title: One Theorem, Half a Century of Super-Resolution

Speaker: Professor Yang Zai

Inviter: Associate Professor Yi Jianxin

Abstract:

Super-resolution technology is the foundation of high-precision radar detection. Its research evolved from the fast Fourier transform (FFT) in the 1960s to subspace methods in the 1970s, and then to sparse and compressed sensing methods in this century. This presentation will review the Carathéodory-Fejér theorem (1911) on Toeplitz covariance matrix decomposition and discuss its key role in super-resolution technology (or spectrum analysis) research over the past half century. The presentation will introduce our results on solving the open problem of the high-dimensional extension of the Carathéodory-Fejér theorem and demonstrate how it forms the foundation of previous methods and how it inspires new super-resolution techniques.

About the Speaker:

Yang Zai is a professor and doctoral supervisor at Xi'an Jiaotong University, a recipient of the National Excellent Young Scientists Fund, and the deputy director of the Xi'an Jiaotong-Huawei Joint Laboratory of Mathematical Technology. He received his bachelor's and master's degrees in applied mathematics from Sun Yat-sen University in 2007 and 2009, respectively, and his doctorate from Nanyang Technological University, Singapore, in 2014. His research focuses on fundamental theories and methods of signal processing, including solving open problems such as the high-dimensional form of the Carathéodory-Fejér theorem and determining the positive definiteness of the Hadamard product of two singular semidefinite matrices. He has published over 70 papers in journals and conferences, including IEEE Trans. Inf. Theory, IEEE Trans. Signal Process., Appl. Comput. Harmonic Anal., and SIAM, with over 4,300 citations on Google Scholar. He currently serves on the editorial boards of IEEE Trans. Signal Process. and (Elsevier) Signal Processing, and is a member of the Sensor Arrays and Multichannels (SAM) Technical Committee of the IEEE Signal Processing Society. He has also been a lecturer at the European Signal Processing Conference. He has presided over or completed projects funded by the National Natural Science Foundation of China (NSFC), including the National Natural Science Foundation of China's Excellent Young Scholars, the National Natural Science Foundation of China's General Science and Technology Fund, and the National Natural Science Foundation of China's Youth Fund, as well as key R&D projects from the Ministry of Science and Technology, and several Huawei enterprise-level projects. He was awarded the Special Prize for Outstanding Scientific and Technological Research Achievements of Shaanxi Higher Education Institutions as the first author.