PDF's, confidence regions, and relevant statistics for a class of sample covariance-based array processors

IEEE Transactions on Signal Processing

Volumn 44, Issue 7, 1996, Pages 1779-1993

  Richmond, Christ D ^a  

^a Department of Electrical Engineering and Computer Science   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; PROBABILITY DENSITY FUNCTION; STATISTICAL METHODS; STATISTICS; VECTORS;

GENERALIZED SIDELOBE CANCELLER IMPLEMENTATION; KUMMER FUNCTION; LINEARLY CONSTRAINED MINIMUM VARIANCE BEAMFORMER; MINIMUM VARIANCE DISTORTIONLESS RESPONSE BEAMFORMER; MULTIVARIATE ELLIPTICALLY CONTOURED DISTRIBUTION;

DIGITAL SIGNAL PROCESSING;

EID: 0030195992     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.510624     Document Type: Article

References (26)

1. A. O. Steinhardt, "The PDF of adaptive beamforming weights," IEEE Trans. Signal Processing, vol. 39, no. 5, pp. 1232-1235, 1991.
2. C. D. Richmond, "Derived PDF of maximum-likelihood signal estimator which employs an estimated noise covariance," IEEE Trans. Signal Processing, vol. 44, no. 2, pp. 305-315, Feb. 1996.
3. See also Proc. Adapt. Sensor Array Processing (ASAP) Workshop, Mar. 1995, vol. 2, pp. 395-410.
4. _, "A note on non-Gaussian adaptive array detection and signal parameter estimation," to appear in IEEE Signal Processing Lett., Aug. 1996.
5. _, "PDF for sample covariance based MVDR beamformer output when steering vector is mismatched," unpublished notes, 1995.
6. C. G. Khatri and C. R. Rao, "Effects of estimated noise covariance matrix in optimal signal detection," IEEE Trans. Acoust., Speech. Signal Processing, vol. ASSP-35, no. 5, pp. 671-679, 1987.
7. I. S. Reed, J. D. Mallett, and L. E. Brennan, "Rapid convergence rate in adaptive arrays," IEEE Trans. Aerosp. Electron. Syst., vol. AES-10, no. 6, pp. 853-863, 1974.
8. E. J. Kelly and K. Forsythe, "Adaptive detection and parameter estimation for multidimensional signal models," Lincoln Laboratory, MIT, Tech. Rep. 848, 1989.
9. J. L. Krolik and D. N. Swingler, "On the mean-square error performance of adaptive minimum variance beamformers based on the sample covariance matrix," IEEE Trans. Signal Processing, vol. 42, no. 2, pp. 445-448, 1994.
10. B. D. Van Veen, "Adaptive convergence of linearly constrained beamformers based on the sample covariance matrix," IEEE Trans. Signal Processing, vol. 39, no. 6, pp. 1470-1473, 1991.
11. M. Wax and Y. Anu, "Performance analysis of the minimum variance beamformer," IEEE Trans. Signal Processing, vol. 44, no. 4, pp. 928-937, Apr. 1996.
12. J. Capon and N. R. Goodman, "Probability distributions for estimators of frequency wavenumber spectrum," Proc. IEEE, vol. 58, no. 10, pp. 1785-1786, 1970.
13. C. W. Jim, "A comparison of two LMS constrained optimal array structures," Proc. IEEE, vol. 65, pp. 1730-1731, 1977.
14. C. G. Khatri, "A note on a MANOVA model applied to problems in growth curve," Annals Inst. Stat. Math., vol. 18, pp. 75-86, 1966.
15. A. O. Steinhardt, personal communication, MIT Lincoln Laboratory, 1995.
16. _, "Adaptive multisensor detection and estimation," in Adaptive Radar Detection and Estimation, S. Haykin and A. O. Steinhardt, Eds. New York: Wiley 1992, ch. 3.
17. B. Van Veen, "Minimum variance beamforming," Adaptive Radar Detection and Estimation, S. Haykin and A. O. Steinhardt, Eds. New York: Wiley, 1992, ch. 4.
18. R. A. Monzingo and T. W. Miller, Introduction to Adaptive Arrays. New York: Wiley, 1980.
19. L. L. Scharf, Statistical Signal Processing: Detection, Estimation, and Time Series Analysis. Reading, MA: Addison-Wesley, 1991.
20. S. M. Kay, Fundamentals of Statistical Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1993.
21. M. S. Srivastava and C. G. Khatri, An Introduction to Multivariate Statistics. New York: Elsevier, 1979.
22. F. Kai-Tai and Z. Yao-Ting, Generalized Multivariate Analysis. New York: Springer-Verlag, 1990.
23. F. Kai-Tai and T. W. Anderson, Eds., Statistical Inference in Elliptically Contoured and Related Distributions. New York: Allerton, 1990.
24. P. R. Krishnaiah and J. G. Lin, ''Complex elliptical distributions,'' Communications in Statistics A: Theory & Methods, vol. 15, no. 12. pp. 3693-3718, 1986.
25. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York: Dover, 1970.
26. C. D. Richmond, "Adaptive array signal processing and performance analysis in non-Gausian environments," Ph.D. dissertation, Mass. Inst. Technol., Cambridge, May 1996.