Skip to main content
SpringerLink
Log in

Speedy Numerical Algorithms and Architecture for Additive Spectral Analysis

  • Published:
Journal of Mathematical Modelling and Algorithms

Abstract

In this paper, fast evaluation of Fourier integrals using additive and dual additive algorithms are considered. For this, we introduce formulas for fast computing Fourier integrals and we present possible variants of structural realization of spectral analyzer. Computer simulation of additive algorithms for solving differential equations is described. The algorithms presented in this paper are suitable for real-time analysis.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Muller, D. E.: Infinite sequences and finite machines, Proc. Fourth Ann. IEEE Sympos. Switch, Circuit Theory Log. Design. S-156 (1963), 9–16.

    Google Scholar 

  2. Borkovsky, B. A., Katkov, A. F. and Romanthov, V. P.: The additive formulas of discrete Fourier transformation, Math. Model. Theory Electr. Circuits 14 (1976), 80–84.

    Google Scholar 

  3. Borkovsky, B. A.: The additive fourier transformation, Math. Model. Theory Electr. Circuits 16 (1978), 47–53.

    Google Scholar 

  4. Katkov, A. F.: The dual formulas the additive fourier transformation, Math.Model. Theory Electr. Circuits 16 (1978), 53–59.

    Google Scholar 

  5. Katkov, A. F. and Goubarieni, N.: Self-organizing computational processes in network with speed independent functional elements, In: Proc. European Simulation Multiconference, SCS Publication, Budapest, Hungary, 1996, pp. 707–711.

    Google Scholar 

  6. Sezan, M. I. and Stark, H.: Tomographic image reconstruction from incomplete view data by convex projections and direct fourier inversion, IEEE Trans. Med. Imag. MI-3 (1984), 91–98.

    Google Scholar 

  7. Tam, K. C. and Perez-Mendez, V.: Limited angle three dimensional reconstructions using Fourier transform iterations and radon transform iterations, Optim. Engrg. 20 (1981), 585–589.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Econometrics and Computer Science, Technical University of Czestochowa, ul. Armii Krajowej 19, 42-200, Czestochowa, Poland

    Aleksander Katkov

  2. Institute of Mathematics and Informatics, Technical University of Czestochowa, ul. Dabrowskiego 73, 42-200, Czestochowa, Poland

    Ewa Wegrzyn-Skrzypczak

Authors
  1. Aleksander Katkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ewa Wegrzyn-Skrzypczak
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Katkov, A., Wegrzyn-Skrzypczak, E. Speedy Numerical Algorithms and Architecture for Additive Spectral Analysis. Journal of Mathematical Modelling and Algorithms 1, 225–241 (2002). https://doi.org/10.1023/A:1020594607281

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1020594607281

Search

Navigation