Advertisement

Adaptive Processing in Sensor Arrays

Part of the International Centre for Mechanical Sciences book series (CISM, volume 324)

Abstract

We present the key concepts and techniques for detection, localization and beamforming of multiple narrowband sources by passive sensor arrays. We address the case of arbitrarily correlated sources, including the case of full correlation occuring in specular multipath propagation, and arbitrarily structured arrays.

Keywords

Maximum Likelihood Estimator Sensor Array Adaptive Processing Code Length Colored Noise 
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]
    Akaike, H. (1973): “Information Theory and an Extension of the Maximum Likelihood Principle,” Proc. 2nd Int. Symp. Inform. Theory, Petrov, B. N. and Caski, F. Eds., pp. 267–281.Google Scholar
  2. [2]
    Akaike, H. (1974): “A New Look at the Statistical Model Identification,” IEEE Trans. on AC, Vol. 19, pp. 716–723.MathSciNetCrossRefMATHGoogle Scholar
  3. [3]
    Anderson, T. W. (1963): “Asymptotic Theory for Principal Components Analysis,” Ann. of Math. Stat., Vol. 34, pp. 122–148.CrossRefMATHGoogle Scholar
  4. [4]
    Bohme, J. F. (1986): “Estimation of Spectral Parameters of Correlated Signals in Wavefields,” Signal Processing, Vol. 11, pp. 329–337.CrossRefGoogle Scholar
  5. [5]
    Bienvenu, J. and Kopp, L. (1979): “Principle de la Goniometric Passive Adaptive,” Proc. Verne Colique GRESTI, (Nice France), pp. 106/1–106/10Google Scholar
  6. [6]
    Bienvenu, J. and Kopp, L. (1980): “Adaptivity to Backgroundd Noise Spatial Coherence for High Resolution Passive Methods,” ICASSP 80, (Denver, CO), pp. 307–310.Google Scholar
  7. [7]
    Bresler, Y. and Macovski, A. (1986): “On the Number of Signals Resolvable by a Uniform Linear Array,” IEEE Trans. on ASSP, Vol. 34, pp. 1361–1375.CrossRefMATHGoogle Scholar
  8. [8]
    Borgiotti, G. V. and Kaplan, L. J. (1979): “Superresolution of Uncprrelated Interference Sources by Using Adaptive Array Techniques,” IEEE Trans. on AP, Vol. 27, pp. 842–845.CrossRefGoogle Scholar
  9. [9]
    Capon, J. (1969): “High Resolution Frequency Wave Number Spectrum Analysis”, Proc. IEEE, Vol. 57, pp. 1408–1418.CrossRefGoogle Scholar
  10. [10]
    Evans, J. E., Johnson, J. R. and Sun D.F. (1982): “ Application of Advanced Signal Processing t Angle-of-Arrival Estimation in ATC Navigation and Survilence Systems,” MIT Lincoln Lab., Lexington, MA, Rep. 582.Google Scholar
  11. [11]
    Graham, A. (1981): Kroneker Products and Matrix Calculus With Applications, Elis Horwood Ltd., Chichester, UK.Google Scholar
  12. [12]
    Hudson, J. E. (1981): Adaptive Array Processing, Peter Peregrinus.CrossRefGoogle Scholar
  13. [13]
    Hurewicz, W. and Wallman, H. (1948): Dimension Theory, Princeton University Press.MATHGoogle Scholar
  14. [14]
    Jaflfer, A. G. (1988): “Maximum Likelihood Direction Finding of Stochastic Sources: A Separable Solution,” ICASSP 88, pp. 2893–2296.Google Scholar
  15. [15]
    Kaveh, M. and Barabell, A. J. (1986): “The Statistical Performance of the MUSIC and Minimum Norm Algorithms in resolving Plane Waves in Noise,” IEEE Trans. on ASSP, Vo. 34, pp. 331–341.CrossRefGoogle Scholar
  16. [16]
    Kumaresan, R. and Tufts, D. W. (1983): “Estimating the Angle-of-Arrival of Multiple Plane Waves,” IEEE Trans. on AES, Vol. 19, pp. 134–139.Google Scholar
  17. [17]
    Monzingo, R. A. and Miller, T. W. (1980): “Introduction to Adaptive Arrays,” Wiley-Interscience, New-York.Google Scholar
  18. [18]
    Nehorai, A., Starer, D. and Stoica, P. (1990): “Consistency of Direction-of-Arrival Estimation with Multipath and Few Snapshots,” ICASSP 90, pp. 2819–2822.Google Scholar
  19. [19]
    Ottersten, B. and Ljung L. (1989): “Asyptotic Results for Sensor Array Processing,” ICASSP 89, pp. 2266–2269.Google Scholar
  20. [20]
    Porat, B. and Friedlander, B. (1988): “Analysis of the Asymptotic Relative Efficiency of the MUSIC Algorithm,” IEEE Trans. on ASSP, Vol. 36, pp. 532–544.CrossRefMATHGoogle Scholar
  21. [21]
    Reddi, S. S. (1979): “Multiple Source Location — A Digital Approach,” IEEE Trans. on AES, Vol. 15, pp. 95–105.Google Scholar
  22. [22]
    Rissanen, J. (1978): “Modeling by the Shortest Description,” Automatica, Vol. 14, pp. 465–471.CrossRefMATHGoogle Scholar
  23. [23]
    Rissanen, J. (1983): “A Universal Prior for the Integers and Estimation by Minimum Description Length,” Ann. of Stat., Vol. 11, pp. 416–431.MathSciNetCrossRefMATHGoogle Scholar
  24. [24]
    Rissanen, J. (1989): Stochastic Complexity in Statistical Inquiry, World Scientific, Series in Computer Science-Vol. 15.Google Scholar
  25. [25]
    Rudin, W. (1976): Principles of Mathematical Analysis, McGraw-Hill.MATHGoogle Scholar
  26. [26]
    Schwartz, G. (1978): “Estimating the Dimension of the Model,” Ann. Stat., Vol. 6, pp. 461–464.CrossRefGoogle Scholar
  27. [27]
    Schmidt, R. O. (1979): “Multiple Emitter Location an Signal Parameter Estimation,” Proc. RADC Spectrum Estimation Workshop, (Griffis AFB, N.Y), pp. 243–258.Google Scholar
  28. [28]
    Schmidt, R. O. (1981): “A Signal Subspace Approach to Multiple Emitter Location and Spectral Estimation,” Ph.D Dissertation, Stanford University, CA.Google Scholar
  29. [29]
    Sharman, K., Durrani, T. S., Wax, M. and Kailath, T. (1984): “Asymptotic Performance of Eigenstructure Spectral.Analysis Methods,” ICASSP 84, pp. 45.5.1–45.5.4.Google Scholar
  30. [30]
    Shannon, C. E. (1948): “The Mathematical Theory of Communication,” Bell Syst. Tech. J., Vol. 46, pp. 497–511.MathSciNetGoogle Scholar
  31. [31]
    Shan, T. J., Wax, M. and Kailath, T. (1985): “On Spatial Smoothing for Direction-of-Arrival Estimation of Coherent Sources,“ IEEE Trans, on ASSP, Vol. 33, No 4, pp. 806–811.CrossRefGoogle Scholar
  32. [32]
    Stoica, P. and Nehorai, A. (1989a): “MUSIC, Maximum Likelihood and the Cramer-Rao Bound,” IEEE Trans. on ASSP, Vol. 37, pp. 720–743.MathSciNetCrossRefMATHGoogle Scholar
  33. [33]
    Stoica, P. and Nehorai, A. (1989b): “MUSIC, Maximum Likelihood and the Cramer-Rao Bound: Further Results and Comparisons,” ICASSP 89, 1pp.Google Scholar
  34. [34]
    Wax, M. (1985): “Detection and Estimation of Superimposed Signals,” Ph.D Dissertation, Stanford University.Google Scholar
  35. [35]
    Wax, M. (1989a): “Detection of Coherent and Noncoherent Signals via the Stochastic Signals Model,” submitted to IEEE Trans. on ASSP. Google Scholar
  36. [36]
    Wax, M. (1989b): “Detection and Localization of Multiple Source in Spatially Colored Noise,” submitted to IEEE Trans. on ASSP. Google Scholar
  37. [37]
    Wax, M. and Kailath, T. (1985): “Detection of Signals by Information Theoretic Criteria,” IEEE Trans. on ASSSP, Vol. 33, pp. 387–392.MathSciNetCrossRefGoogle Scholar
  38. [38]
    Wax, M. and Ziskind, I. (1989a): “On Unique Localization of Multiple Sources in Passive Sensor Arrays,” IEEE Trans. on ASSP, Vol. 37, No. 7, pp. 996–1000.CrossRefGoogle Scholar
  39. [39]
    Wax, M. and Ziskind, I. (1989b): “Detection of the Number of Coherent and Noncoherent Signals by the MDL Principle,” IEEE Trans. on ASSP, Vol. 37, No. 8, pp. 1190–1196.CrossRefGoogle Scholar
  40. [40]
    Widrow, B., Duvall, K. M., Gooch, R. P. and Newman, W. C. (1982): “Signal Cancellation Phenomena in Adaptive Antennas: Causes and Cures,” IEEE Trans. on AP, Vol. 30, pp. 469–478.CrossRefGoogle Scholar
  41. [41]
    Zhao, L. C, Krishnaiah, P. R. and Bai, Z. D. (1986): “On Detection of the Number of Signals in the Presence of White Noise,” J. Multivariate Anal., Vol. 20, pp. 1–20.MathSciNetCrossRefMATHGoogle Scholar
  42. [42]
    Ziskind, I. and Wax, M. (1988): “Maximum Likelihood Localization of Multiple Sources by Alternating Projection,” IEEE Trans. on ASSP, Vol. 36, pp. 1553–1560.CrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 1991

Authors and Affiliations

  • M. Wax
    • 1
  1. 1.RafaelHaifaIsrael

Personalised recommendations