Generalized Spectrum Analysis by Means of Neural Networks

  • Dariusz Grabowski
  • Janusz Walczak
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 19)


The problem of determination of generalized signal spectrum using neural networks has been investigated. The paper contains the formalization of the problem and is focused on building of a neural network that may be used to calculate coefficients of the generalized Fourier series for various base functions. The theoretic considerations have been illustrated by an example of analysis of a signal belonging to the Hilbert space of signals with finite energy for Laguerre’s base and a wavelet base.


Neural Network Hilbert Space Orthogonal Polynomial Recurrent Neural Network Wavelet Base 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Dariusz Grabowski
    • 1
  • Janusz Walczak
    • 1
  1. 1.Silesian University of TechnologyGliwicePoland

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