WCSP 2023 is technically co-sponsored by IEEE and IEEE Communications Society.       The 15th International Conference on Wireless Communications and Signal Processing (WCSP 2023)      
Xiang-Gen Xia

Title: Linear Processing for Vector-Valued Signals with Vector-Valued Coefficients
Speaker: Xiang-Gen Xia, University of Delaware

In this talk, we first introduce arithmetics (+, ―, ×, ÷) for real vectors of any fixed dimension, which are similar to those for real numbers. It can be thought of as a generalization of complex numbers that are just two dimensional real vectors. This is based on rational vector approximations and arithmetics for rational vectors, and can be done via algebraic number fields. Then, we introduce complex conjugate for a real vector and inner product for two real vectors and two real vector-valued signals of finite length. We also define convolution of two real vector-valued signals of finite length. With these concepts, the conventional linear filtering, least squares fitting, and ARMA model for scalar-valued signals with scalar-valued coefficients can be easily generalized to real vector-valued signals with real vector-valued coefficients, which broadens the existing linear signal processing methods for scalar-valued signals and might open a door to the future signal processing. 

Xiang-Gen Xia is the Charles Black Evans Professor, Department of Electrical and Computer Engineering, University of Delaware, Newark, Delaware, USA. Dr. Xia was the Kumar’s Chair Professor Group Professor (guest) in Wireless Communications, Tsinghua University, during 2009-2011, the Chang Jiang Chair Professor (visiting), Xidian University, during 2010-2012, and the World Class University (WCU) Chair Professor (visiting), Chonbuk National University, during 2009-2013. He received the National Science Foundation (NSF) Faculty Early Career Development (CAREER) Program Award in 1997, the Office of Naval Research (ONR) Young Investigator Award in 1998, the Outstanding Overseas Young Investigator Award from the National Nature Science Foundation of China in 2001, and the Information Theory Outstanding Overseas Chinese Scientist Award from the Chinese Information Theory Society of Chinese Institute of Electronics in 2019. Dr. Xia was the General Co-Chair of ICASSP 2005 in Philadelphia. He is a Fellow of IEEE.  His current research interests include space-time coding, MIMO and OFDM systems, digital signal processing, and SAR and ISAR imaging. He is the author of the book Modulated Coding for Intersymbol Interference Channels (New York, Marcel Dekker, 2000) and a co-author of the incoming book Array Beamforming Enabled Wireless Communications (New York, CRC Press, 2023).
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