Skip to main content
SpringerLink
Log in

The distribution function of the maximum eigenvalue of a sample correlation matrix of internal noise of antenna-array elements

  • Published:
Radiophysics and Quantum Electronics Aims and scope

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

The statistical characteristics of internal noise are used to determine the properties of estimates of the number and angular coordinates of external sources of signals received by an antenna array (AA). In the case of a time-limited sample, the correlation matrix (CM) of internal noise of an AA has the spectrum of random eigenvalues. In a number of critical problems of detection and estimation of the number of signals it is necessary to know the statistical properties of the maximum signal in order to choose correctly the threshold value and adopt statistical decisions. In this paper, the distribution function of the maximum, eigenvalue of the sample CM of internal noise is found explicitly. It is assumed that the exact CM is equal to the identity matrix.

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. L. Marple, Jr.,Digital Spectral Analysis with Applications, Prentice-Hall, New Jersey (1987).

    Google Scholar 

  2. V. V. Karavayev, and V. V. Sazonov,Statistical, Theory of Passive Location [in Russian], Radio i Svyaz', Moscow (1987).

    Google Scholar 

  3. A. V. Moroz, and N. G. Esakova.,Radiotékh. Electron,35, No. 5, 1014 (1990).

    Google Scholar 

  4. O. P. Cheremisin,Radiotékh. Electron,37, No. 7, 1236 (1992).

    Google Scholar 

  5. V. L. Girko,Spectral Theory of Random Matrices.

  6. G. Capon and N. R. Goodman,TIIER,58, No. 11, 82.

  7. G. A. Korn, and T. M. Korn,Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1968).

    Google Scholar 

Download references

Authors
  1. V. T. Ermolaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. V. Rodyushkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Lobachevsky State University, Nizhny Novgorod, Russia. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 5, pp. 494–500, May 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ermolaev, V.T., Rodyushkin, K.V. The distribution function of the maximum eigenvalue of a sample correlation matrix of internal noise of antenna-array elements. Radiophys Quantum Electron 42, 439–444 (1999). https://doi.org/10.1007/BF02677625

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02677625

Keywords

Search

Navigation