Radiotekhnika
Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS


Тел.: +7 (495) 625-9241

 

Choice of diagonal loading value in adaptive space processing problem

Keywords:

M.V. Ratynsky – Dr.Sc. (Eng.), Head of Sector, JSC « All-Russian Scientific Research Institute of Radiotechnics». E-mail: m3v5r7@inbox.ru


Antenna array directivity loss being not more than several tenth of dB under optimal solution of adaptive space processing problem, increases under quasioptimal solution (under finite number of training samples) because of the spread of noise eigenvalues of sample covariance matrix of antenna array input signals. Diagonal loading of sample covariance matrix that makes noise eigenvalues more even (and simultaneously increases their values) decreases the array directivity loss, but decreases the suppression of interferers too when diagonal loading value is sufficiently high. Optimum diagonal loading value is determined by the minimum of the sum loss caused by the array directivity loss and by the limited interference suppression. Analytical expressions for adaptive space processing system performance indicators are obtained that make possible estimating the parameters needed for optimum diagonal loading value choice.
References:

 

  1. Ratynskijj M.V.Adaptacija i sverkhrazreshenie v antennykh reshetkakh. M.: Radio i svjaz. 2003.
  2. Reed I.S., Mallett J.D., Brennan L.E. Rapid convergence rate in adaptive arrays // IEEE Trans. Aerospace and electronic syst. 1974. V. 10. № 6. P. 853–863.
  3. Carlson B.D. Covariance matrix estimation errors and diagonal loading in adaptive arrays // IEEE Trans. Aerospace and electronic syst. 1988. V. 24. № 4. P. 397–401.
  4. Wu R., Bao Z., Ma Y. Control of peak sidelobe level in adaptive arrays // IEEE Trans. Antennas and propagation. 1996. V. 44. № 10. P.1341–1347.
  5. Mestre X., Lagunas M.A. Finite sample size effect on minimum variance beamformers: optimum diagonal loading factor for large arrays // IEEE Trans. Sygnal processing. 2006. V. 54. № 1. P. 69–82.
  6. Genefiko T.A., Lishak M.JU. Sravnitelnyjj analiz cifrovykh algoritmov adaptivnojj prostranstvennojj filtracii // Radiotekhnicheskie tetradi. 2009. № 38. S. 33–37.
  7. Ratynskijj M.V.Ocenka ehffektivnosti adaptivnojj prostranstvennojj filtracii // Radiotekhnika. 2013. № 8. S. 38–44.
  8. Li F., Liu H., Vaccaro R.J.Performance analysis for DOA estimation algorithms: unification, simplification, and observations // IEEE Trans. Aerospace and electronic syst. 1993. V. 29. № 4. P. 1170–1183.

 

June 24, 2020
May 29, 2020

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio