Skip to main content
SpringerLink
Log in

Minimum Modulus Principle in the Problem of Reconstructing a Signal of a Measured Quantity

  • Published:
Measurement Techniques Aims and scope

Abstract

The problem is considered of reconstructing the original shape of a signal of a measured quantity by applying the minimum modulus principle. It is shown that the minimum modulus principle ensures that the solution of this problem can be regularized in accordance with the method of Tikhonov.

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. S. G. Mikhlin, Course of Mathematical Physics [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  2. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solving Ill-Conditioned Problems [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  3. G. I. Vasilenko, Theory of Signal Restoration [in Russian], Sovetskoe Radio, Moscow (1979).

    Google Scholar 

  4. G. N. Solopchenko, Izmerit. Tekh., No. 1, 51 (1974).

    Google Scholar 

  5. G. N. Solopchenko, Measurements, Monitoring, Automation, No. 2, 34 (1983).

    Google Scholar 

  6. G. N. Solopchenko and I. B. Chelpanov, Metrologiya, No. 6, 3 (1979).

    Google Scholar 

  7. N. I. Seregina and G. N. Solopchenko, Tekhnicheskaya Kibernetika, 22, No. 2, 166 (1984).

    Google Scholar 

  8. K. Yu. Savkov and G. N. Solopchenko, Abstracts of Papers presented at the Third All-Union Symposium on Identification Methods in Problems of Measurement Technology and Metrology [in Russian], Siberian State Scientific-Research Institute of Metrology, Novosibirsk (1983), p. 3.

    Google Scholar 

  9. G. N. Solopchenko, Abstracts of Papers presented at the Ninth All-Union Meeting on Control Problems [in Russian], Erevan (1983), p. 149.

  10. N. I. Seregina and G. N. Solopchenko, Prib. Sistem. Upravl., No. 4, 19 (1992).

    Google Scholar 

  11. K. Yu. Savkov, N. I. Seregina, and G. N. Solopchenko, J. Adv. Mater., 1, No. 2, 205 (1994).

    Google Scholar 

  12. N. I. Seregina and G. N. Solopchenko, Zh. Analit. Khim., 50, No. 2, 187 (1995).

    Google Scholar 

  13. A. A. Sveshnikov, Applied Methods in the Theory of Random Functions [in Russian], Nauka, Moscow (1968).

    Google Scholar 

  14. G. N. Solopchenko and Sh. R. Fatkudinova, Zh. Analit. Khim., 53, No. 11, 1158 (1998).

    Google Scholar 

  15. Yu. P. Pyt'ev and A. I. Chulichkov, Izmerit. Tekh., No. 2, 3 (1998).

    Google Scholar 

Download references

Authors
  1. G. N. Solopchenko
    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

Solopchenko, G.N. Minimum Modulus Principle in the Problem of Reconstructing a Signal of a Measured Quantity. Measurement Techniques 44, 795–801 (2001). https://doi.org/10.1023/A:1012988032519

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1012988032519

Keywords

Search

Navigation