Advertisement

Algorithms of ASSP with Not Exactly Known Parameters

  • Larysa Titarenko
  • Alexander Barkalov
Part of the Signals and Communication Technology book series (SCT)

Abstract

Includes original methods developed for solution of the problems analysed in previous chapters. Firstly, the main approaches are proposed oriented on development of effective algorithms of adaptive spatial signal processing with not exactly known parameters. The probabilistic approach for synthesis of robust algorithms of ASSP is analysed. Next, the deterministic approach for synthesis of robust algorithms of ASSP is represented as a solution of some modified optimization problems. Development of methods based on linear and correlation restrictions. The third part is devoted to development of robust algorithms of ASSP. The last part proposes a projection approach for development of effective algorithms of adaptive spatial signal processing with not exactly known parameters.

Keywords

Antenna Array Directivity Characteristic Deterministic Approach Antenna Element Optimization Task 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Cantoni, A., Guo, L.X.: A new approach to the optimization of robust antenna array processors. IEEE Trans. Antennas and Propag. 41(4), 403–411 (1993)CrossRefGoogle Scholar
  2. 2.
    Steele, A.K.: Comparison of directional and derivative constraints for beamformers subject to multiple linear constraints. IEEE Proceedings 130(1), 41–45 (1983)Google Scholar
  3. 3.
    Alireza, M.: Analysis of the spatial filtering approach to the decorrelation of coherent sources. IEEE Trans. Signal Proces. 40(3), 692–694 (1992)CrossRefGoogle Scholar
  4. 4.
    Cherrette, A.R., O’Connor, J.F., Chang, D.C.D., Kuhn, C.C.: Experimental s-band adaptive array. In: MILCOM 1984, vol. 1-3, pp. 332–334 (1984)Google Scholar
  5. 5.
    Bertsekas, D.: Constrained Optimization and Lagrange Multiplier Methods. Academic, N.Y. (1982)zbMATHGoogle Scholar
  6. 6.
    Pshenichny, B.N.: Convex analysis and extreme tasks. Nauka, M. (1980) (in Russian)Google Scholar
  7. 7.
    Feldman, D.D., Griffiths, L.J.: A projection approach for robust adaptive beamforming. IEEE Trans. Signal Processing 42(4), 867–876 (1994)CrossRefGoogle Scholar
  8. 8.
    Lechmann, E., Castella, G.: Theory of point estimation. Springer, Berlin (1998)Google Scholar
  9. 9.
    Vanpoucke, F., Moonen, M.: Systolic robust beamforming with adjustable constraint. IEEE Trans. Aerospace and Electronics Systems AES-32(2), 658–669 (1995) CrossRefGoogle Scholar
  10. 10.
    Loskutova, G.V.: About influence of spatial smoothing on angular resolution of signals in aaa. Radiotechnika i Elektronika 35(12), 2557–2562 (1990) (in Russian)Google Scholar
  11. 11.
    Cox, H., Zeskind, R.M., Owen, M.M.: Robust adaptive beamforming. IEEE Trans. Acoustics, Speech, and Signal Processing ASSP-35(10), 1365–1375 (1987)CrossRefGoogle Scholar
  12. 12.
    Kim, J.W., Un, C.K.: An adaptive array robust to beam pointing error. IEEE Trans., Signal Process. 40(6), 1582–1584 (1992)CrossRefGoogle Scholar
  13. 13.
    Kim, J.W., Un, C.K.: A robust adaptive array based on signal subspace approach. IEEE Trans. Signal Process. 41(1), 3166–3171 (1993)CrossRefGoogle Scholar
  14. 14.
    Takao, K., Kikuma, M.: Tamed adaptive antenna array. IEEE Trans. Antennas and Propagation AP-34(3), 388–394 (1986)CrossRefGoogle Scholar
  15. 15.
    Ahmed, K.M., Evans, R.J.: Adaptive array processor with robustness and broad-band capabilities. IEEE Trans. Antennas and Propagation AP-32(9), 944–950 (1984)CrossRefGoogle Scholar
  16. 16.
    Bukhley, K.M., Griffiths, L.J.: An adaptive generalized sidelobe canceller with derivative constraints. IEEE Trans. Antennas and Propagation AP-34(3), 311–319 (1986)CrossRefGoogle Scholar
  17. 17.
    Koroluk, V.S., et al.: Manual from probability theory and mathematical statistics. Nauka, M. (1985) (in Russian)Google Scholar
  18. 18.
    Lo, K.W.: Reducing the effect of pointing error on the performance of an adaptive array. Electron Letters 26(2), 1646–1647 (1990) (in Russian)CrossRefGoogle Scholar
  19. 19.
    Lo, K.W.: Improving performance of adaptive array in presence of pointing errors using new zero-correlation method. Electron Letters 27(5), 443–445 (1991)CrossRefGoogle Scholar
  20. 20.
    Lo, K.W.: Improving performance of real symmetric adaptive arrays by signal blocking. IEEE Trans. Aerospace and Electronics Systems 32(2), 821–830 (1995)CrossRefGoogle Scholar
  21. 21.
    Lo, K.W., Vu, T.B.: Directional constrained adaptive array using symmetric amplitude control. IEEE Proceedings 136(2), 90–98 (1989)Google Scholar
  22. 22.
    Titarenko, L.: The probabilistic approach to synthesis of signals adaptive spatial processing robust algorithms. In: Materials of International Conference “TCSET 2002”, p. 235. NU ”Lvivska Politechnika” (2002)Google Scholar
  23. 23.
    Marchuk, L.A.: Spatial-temporal processing of signals in radio links. VAS, L. (1991) (in Russian)Google Scholar
  24. 24.
    Marczuk, L.A., Titarenko, L.A., Saveljev, L.A.: Adaptive spatial filtration in conditions of a priori uncertainty about spatial structure of signals and interferences. In: Proceedings of International Conference ”Theory and Technique of Transmission, Receiving and Processing of Information.”, pp. 76–77. KTURE (1997) (in Russian)Google Scholar
  25. 25.
    Titarenko, L.A.: Providing compatibility radio devices under different levels of a priori uncertainty. In: Transactions of UNRIRT, vol. 2(26), pp. 33–42. Odessa (2001) (in Russian)Google Scholar
  26. 26.
    Titarenko, L.A.: Probabilistic approach for synthesis of robust algorithms of adaptive spatial signal processing. Vesnik of National University ”Lvivska Politechnika” (443), 90–95 (2002) (in Ukrainian)Google Scholar
  27. 27.
    Kikuma, M., Takao, K.: Broadband and robust adaptive antenna under correlation constraint. IEEE Proceedings 136(2), 85–89 (1989)Google Scholar
  28. 28.
    Minut, M.: Mathematical programming. McGraw Hill, N.Y. (1989)Google Scholar
  29. 29.
    Parodi, M.: Localization of characteristic numbers of matrices and its application. Academic, N.Y. (1959)Google Scholar
  30. 30.
    Viberg, M., Swirdlehurs, A.L.: Analysis of the combined effects of finite samples and model errors on array processing performance. IEEE Trans. Signal Processing 42(11), 3073–3083 (1994)CrossRefGoogle Scholar
  31. 31.
    Er, M.H.: Adaptive antenna array under directional and spatial derivative constraints. IEEE Proceedings 135(6), 414–419 (1988)MathSciNetGoogle Scholar
  32. 32.
    Er, M.H.: Technique for antenna array pattern synthesis with controlled broad nulls. IEEE Proceedings 135(6), 357–380 (1988)MathSciNetGoogle Scholar
  33. 33.
    Er, M.H., Cantoni, A.: Derivative constraints for broad-band element space antenna array processors. IEEE Trans. Acoust. Speech and Signal Proces. 31(6), 1378–1393 (1983)CrossRefGoogle Scholar
  34. 34.
    Er, M.H., Cantoni, A.: An alternative formulation for an optimum beamforming with robustness capability. IEEE Proceedings 132(6), 447–460 (1985)Google Scholar
  35. 35.
    Er, M.H., Ng, B.C.: A new approach to robust beamforming in presence of steering vector errors. IEEE Trans. Signal Processing 42(7), 1826–1829 (1994)CrossRefGoogle Scholar
  36. 36.
    Hanna, M.T., Simaan, M.: A least sensitive multichanel optimum filter for sensor arrays. IEEE Journal of Oceaning Engineering 13(2), 64–69 (1988)CrossRefGoogle Scholar
  37. 37.
    Monzigmo, R.A., Miller, T.W.: Adaptive antenna arrays. Introduction into theory. Skitech Publishers, N.Y. (2000)Google Scholar
  38. 38.
    Kassam, S.A., Pure, G.V.: Robust methods for signal processing. survey. Transactions of IEEE 73(3), 324–341 (1985)Google Scholar
  39. 39.
    Pillai, S.U.: Array Signal Processing. Springer, N.Y. (1989)CrossRefGoogle Scholar
  40. 40.
    Demjanov, V.F., Vasiljev, L.V.: Non-differential optimization. Nauka, M. (1981) (in Russian)Google Scholar
  41. 41.
    Wojevodin, V.V., Kuznecov, J.A.: Matrices and calculations. Nauka, M. (1984) (in Russian)Google Scholar
  42. 42.
    Youn, W.S., Un, C.K.: Robust adaptive beamforming based on the eigenstructure method. IEEE Trans. Signal Processing 42(6), 1543–1546 (1994)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institute of Informatics and ElectronicsUniversity of Zielona GoraZielona GoraPoland

Personalised recommendations