Skip to main content
SpringerLink
Log in

Local Methods of Numerical Signal Differentiation

  • THEORY AND METHODS OF SIGNAL PROCESSING
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

The methods of numerical signal differentiation are discussed. The convergence conditions for numerical differentiation are formulated. The approach to numerical signal differentiation is generalized based on regular local interpolation with generalized polynomials. The coefficients of optimal differentiators are determined using numerical-analytical methods. Various methods of numerical differentiation are subjected to comparative analysis. The results are implemented in practice.

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

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. A. Anton’yu, Digital Filters: Analysis and Design (McGraw-Hill, New York, 1979; Radio i Svyaz’, Moscow, 1983).

  2. C. De Boor, A Practical Guide to Splines (Springer-Verlag, New York, 1978).

    Book  MATH  Google Scholar 

  3. A. N. Denisenko, Signals. Theoretical Radio Engineering. Handbook (Goryachaya Liniya-Telekom, Moscow, 2005) [in Russian].

    Google Scholar 

  4. T. K. Biryukova, V. I. Kireev, and M. M. Gershkovich, Sist. Komp. Mat. Prilozh., No. 17, 106 (2016).

  5. B. I. Sukhoruchenkov and V. A. Men’shikov, Methods of the Analysis of Characteristics of Aircraft (Mashinostroenie, Moscow, 1995) [in Russian].

    Google Scholar 

  6. N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods (BINOM, Moscow, 2006) [in Russian].

    MATH  Google Scholar 

  7. L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing (Prentice Hall, Englewood Cliffs, 1975).

    Google Scholar 

  8. V. Cappellini, A. G. Constantinides, and P. Emiliani, Digital Filters and Their Applications (Academic, London, 1978; Energoatomizdat, Moscow, 1983).

  9. A. N. Denisenko and V. N. Isakov, Radiotekhnika, No. 10, 16 (2001).

  10. V. N. Isakov, Naukoemkie Tekhnol., No. 4, 40 (2013).

  11. Ros. Tekhnol. Zh. 4 (2 (11)), 73 (2016). https:// rtj.mirea.ru/upload/medialibrary/a87/rtzh_2_2016_ 8 watermark.pdf.

Download references

Author information

Authors and Affiliations

  1. MIREA—Russian Technological University, 119454, Moscow, Russia

    V. N. Isakov & A. N. Kovalenko

Authors
  1. V. N. Isakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. N. Kovalenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. N. Isakov.

Additional information

Translated by D. Safin

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Isakov, V.N., Kovalenko, A.N. Local Methods of Numerical Signal Differentiation. J. Commun. Technol. Electron. 64, 111–118 (2019). https://doi.org/10.1134/S1064226919020062

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226919020062

Search

Navigation