Xiang-Gen Xia (M’97,S’00,F’09) received his B.S. degree in mathematics from Nanjing Normal University, Nanjing, China, and his M.S. degree in mathematics from Nankai University, Tianjin, China, and his Ph.D. degree in Electrical Engineering from the University of Southern California, Los Angeles, in 1983, 1986, and 1992, respectively.
He was a Senior/Research -Staff Member at Hughes Research Laboratories, Malibu, California, during 1995-1996. In September 1996, he joined the Department of Electrical and Computer Engineering, University of Delaware, Newark, Delaware, where he is the Charles Black Evans Professor. He was a Visiting Professor at the Chinese University of Hong Kong during 2002-2003, where he is an Adjunct Professor. Before 1995, he held visiting positions in a few institutions. His current research interests include space-time coding, MIMO and OFDM systems, digital signal processing, and SAR and ISAR imaging. Dr. Xia has over 185 refereed journal articles published and accepted, and 7 U.S. patents awarded and is the author of the book Modulated Coding for Intersymbol Interference Channels (New York, Marcel Dekker, 2000).
Abstract: Robust remaindering problem is how to robustly determine a large integer from its erroneous remainders. This problem has many applications including frequency determination from multiple undersampled waveforms, such as phase unwrapping in SAR imaging of moving targets. When the remainders are error free, Chinese remainder theorem (CRT) provides a solution. However, it is well-known that CRT is not robust. This talk is about the latest developments on this topic.