Complex-valued wavelet network

  • Authors:
  • Chunguang Li;Xiaofeng Liao;Juebang Yu

  • Affiliations:
  • Lab 570, Institute of Electronic Systems, College of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, People's Republic of China;Lab 570, Institute of Electronic Systems, College of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu and Dept. of Comp. Sci. and Eng., Chongqing Universit ...;Lab 570, Institute of Electronic Systems, College of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, People's Republic of China

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2003

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Abstract

In this paper, a complex-valued wavelet network (CWN) is proposed. The network has complex inputs, outputs, connection weights, dilation and translation parameters, but the nonlinearity of the hidden nodes remains a real-valued function (real-valued wavelet function). This kind of network is able to approximate an arbitrary nonlinear function in complex multi-dimensional space, and it provides a powerful tool for nonlinear signal processing involving complex signals. A complex algorithm is derived for the training of the proposed CWN. A numerical example on nonlinear communication channel identification is presented for illustration.