Information Theoretic Criteria for the Determination of the Number of Signals in Spatially Correlated Noise

IEEE Transactions on Signal Processing

Volumn 41, Issue 4, 1993, Pages 1652-1663

  Zhang, Q T ^a   Wong, Kon Max ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION THEORY; SPURIOUS SIGNAL NOISE;

ARRAY PROCESSING; SIGNAL RESOLUTION; SPATIALLY CORRELATED NOISE;

SIGNAL THEORY;

EID: 0027577795     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.212737     Document Type: Article

References (22)

1. M. S. Bartlett, “A note on the multiplying factors for various x2 approximations,” J. Roy. Stat. Soc. ser. B., vol. 16, pp. 296–298, 1954.
2. M. Wax and T. Kailath, “Detection of signals by information theoretic criteria,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 33, no. 2, pp. 387–392, Apr. 1985.
3. H. Akaike, “A new look at the statistical model identification,” IEEE Trans. Automat. Contr., vol. 19, pp. 716–723, 1974.
4. G. Schwarz, “Estimating the dimensions of a model,” Ann. Stat., vol. 6, no. 2, pp. 461–464, 1978.
5. J. Rissanen, “Modelling by shortest data description,” Automatica, vol. 14, pp. 465–471, 1978.
6. K. M. Wong, Q. T. Zhang, J. P. Reilly, and P. C. Yip, “On information theoretic criteria for determining the number of signals in high resolution array processing,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, no. 11, pp. 1959–1974, Nov. 1990.
7. Q. Wu and D. R. Fuhrmann, “A parametric method for determining the number of signals in narrow-band direction finding,” IEEE Trans. Signal Processing, vol. 39, no. 8, pp. 1848–1857, Aug. 1991.
8. L. C. Zhao, P. R. Krishnaiah, and Z. D. Bai, “On detection of the number of signals in presence of white noise,” J. Multivariate Anal., vol. 20, no. 1, pp. 1-1-25, 1986.
9. L. C. Zhao, P. R. Krishnaiah, and Z. D. Bai, “Remarks on certain criteria for detection of number of signals,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 129–132, Feb. 1987.
10. R. J. Urick, Principles of Underwater Sound, 3rd ed. New York: McGraw-Hill, 1983.
11. G. M. Wenz, “Review of underwater acoustics research: Noise,” J. Acoust. Soc. Amer., vol. 51, no. 3, 1010–1024, 1972.
12. B. F. Cron and C. H. Sherman, “Spatial-correlation functions for various noise models,” J. Acoust. Soc. Amer., vol. 34, no. 11, pp. 1732–1736, 1962.
13. Y. Fujikoshi, “The likelihood ratio tests for the dimensionality of regression coefficients,” J. Multivariate Anal., no. 4, pp. 327–340, 1974.
14. M. Okamoto, “Optimality of principal components,” in Multivariate Analysis I. P. R. Krishnaiah, Ed. New York: Academic, pp. 87–102.
15. M. L. Eaton, Multivariate Statistics. Wiley Interscience, 1983.
16. R. J. Muirhead, Aspects of Multivariate Statistical Theory. New York: Wiley, 1982.
17. C. R. Rao, Linear Statistical Inference and Its Applications. New York: Wiley, 1965.
18. H. Wang and M. Kaveh, “On The performance of signal subspace processing, Part I: Narrow-band systems,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 5, pp. 1201–1209, Oct. 1986.
19. M. Kaveh, H. Wang, and H. Hung, “On the theoretical performance of a class of estimators of the number of narrow-band sources,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 9, pp. 1350–1352, Sept. 1987.
20. Q. T. Zhang, K, M. Wong, P. Yip, and J. P. Reilly, “Statistical analysis of the performance of information theoretic criteria in the detection of the number of signals in array processing,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 10, pp. 1557–1567, Oct. 1989.
21. S. Haykin, Adaptive Filter Theory. Englewood Cliffs, NJ: Prentice-Hall, 1986.
22. N. Giri, “On the complex analysis of T 2 and R 2 tests,” Ann. Math. Stat., vol. 36, pp. 665–670, 1965.