Welcome to the Xiang-Gen Xia's Home Page

• Who I am

  Charles Black Evans Professor
  Department of Electrical and Computer Engineering
  University of Delaware
  Newark, DE 19716
  
  

• Where I am

  Office: 311 Evans Hall
  Phone: (302)831-6593 (o)
  Fax: (302)831-2606 (o)
  Email: [email protected] and [email protected]
  
  

• My Teaching

  
  

• My Current Research Interests

  
  

• My Research Projects

  
  

• My Book: Modulated Coding for Intersymbol Interference Channels, New York, Marcel Dekker, Oct. 2000. ----Modulated codes are convolutional codes defined on the complex field.----- This book summaries the author's pioneering research during 1995-1999 on filterbank precoding for ISI channels.

  
  

• Some of My Tutorials and Preprints

  • Tutorials

    • Vector OFDM Systems PPT Slides

    • Space-Time Modulations

    • Topics on Modulations for 5G and Beyond

    • Next Generation SAR Imaging

    • Mathematics and Electrical Engineering

    • Vector Orthogonal Frequency-Division Multiplexing (VOFDM)

    • Discrete Chirp-Fourier Transform (DCFT)

    • Robust Chinese Remainder Theorem , Signal Processing, vol. 150, pp. 248-258, Sept. 2018. https://doi.org/10.1016/j.sigpro.2018.04.022

    • A Robust Chinese Remainder Theorem PPT

    • Polynomial Ambiguity Resistant Precoders (PARP)

    • A Simple Introduction to Free Probability Theory and Its Application to Random Matrices . Also available at arXiv:1902.10763v1 and at Mathematical Research with Reviews, Issue 2, Art. 22, 2019.

    • Vector OFDM, MIMO-OFDM, and OTFS (in Chinese)

    • Vector OFDM vs. OTFS

    • Digital Signal Processing vs. Digital Communications Modulation

    • Digital Communications: the Past, Current, and Future

    • VOFDM/OTFS for 6G Modulation

  • Opinions

    • Small Data, Mid Data, Big Data vs. Algebra, Analysis, and Topology, IEEE Signal Processing Magazine, vol. 34, no. 1, pp. 48-51, Jan. 2017.

    • Cross Terms (in Chinese) Cross Terms (in English), IEEE Signal Processing Magazine, vol. 37, no. 6, pp. 192-195, Nov. 2020.

    • This is how I think about compressive sensing and graph signal processing (in Chinese)

    • Why and how a Ph.D. student should be, brief introduction to University of Delaware, and key components in digital communications in the past

    • How to do good research and write good papers

    • I would like to say something about sparse signal processing again (in Chinese)

    • This is how I think about information entropy (in Chinese)

    • This is how I think about basic research funding (in Chinese)

    • Why we are emphasizing on mathematics now (in Chinese)

    • Hard Core Problems (in Chinese)

    • Cannot Count on Math (in Chinese)

    • Vector Arithmetics (in Chinese)

    • My Experience in Physical Layer Communications , arXiv:2104.09373 [eess.SP], April 19, 2021. And it is also available Here

    • AI and Physical Layer Communications

    • The Importance of Blocking and Diversity/Multiplicity

    • How to Make Product Zero: Define

  • Preprints

    • Understanding Turbo Codes: A Signal Processing Study

    • On BT-limited Signals

    • A Matrix-Valued Inner Product for Matrix-Valued Signals and Matrix-Valued Lattices

    • ε-Arithmetics for Real Vectors and Linear Processing of Real Vector-Valued Signals with Real Vector-Valued Coefficients

    • Delay Doppler Transform

    • Discrete Spectrum Analysis of Vector OFDM Signals

    • Rethink Delay Doppler Channels and Time-Frequency Coding

    • Recall Gabor Communication Theory and Joint Time-Frequency Analysis

    • Recall Gabor Communication Theory and Joint Time-Frequency Analysis

    • My First Five Years of Faculty Career at the University of Delaware

      
      

• My Curriculum Vitae

  
  

• My Research Group

  
  

• My Selected Chinese Poems

  
  

• Xu Qiuyu Pandemic 200 Poems

  Also available via

  Amazon

  
  

• My Science Net Blog (in Chinese)

  
  

• My Family

  
  

• My Sons, Kevin and Lawrence

  
  
  

• Web Email System

  
  

• Looking for self-motivated graduate students with good math background (students with math BS and/or higher degrees are encouraged to apply)