Detection of an unknown rank-one component in white noise

IEEE Transactions on Signal Processing

Volumn 54, Issue 7, 2006, Pages 2835-2839

  Besson, Olivier ^a   Kraut, Shawn ^b,c   Scharf, Louis L ^d  

^a UNIVERSITÉ DE TOULOUSE   (France)

^b QUEEN S UNIVERSITY   (Canada)

^c MIT LINCOLN LABORATORY   (United States)

^d Department of Environmental and Radiological Health Sciences   (United States)

Author keywords

Array processing; Detection; Eigenvalues; Maximal invariant statistic; Wishart matrices

Indexed keywords

COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; PROBABILITY DENSITY FUNCTION; SIGNAL DETECTION; STATISTICS;

ARRAY PROCESSING; GENERALIZED-LIKELIHOOD RATIO TEST (GLRT); MAXIMAL INVARIANT STATISTIC; WISHART MATRICES;

WHITE NOISE;

EID: 33745684733     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.874781     Document Type: Article

References (11)

1. R. J. Muirhead, Aspects of Multivariate Statistical Theory. New York: Wiley, 1982.
2. E. L. Lehmann, Testing Statistical Hypotheses, 2nd ed. New York: Springer-Verlag, 1986.
3. L. L. Scharf, Statistical Signal Processing: Detection, Estimation and Time Series Analysis. Reading, MA: Addison-Wesley, 1991.
4. S. Bose and A. O. Steinhardt, "A maximal invariant framework for adaptive detection with structured and unstructured covariance matrices," IEEE Trans. Signal Process., vol. 43, no. 9, pp. 2164-2175, Sep. 1995.
5. S. Bose and A. O. Steinhardt, "Optimum array detector for a weak signal in unknown noise," IEEE Trans. Aerosp. Electron. Syst., vol. 32, no. 3, pp. 911-922, Jul. 1996.
6. E. Conte, A. De Maio, and C. Galdi, "CFAR detection of multidimensional signals: An invariant approach," IEEE Trans. Signal Process., vol. 51, no. 1, pp. 142-151, Jan. 2003.
7. S. Kraut, L. L. Scharf, and R. W. Butler, "The adaptive coherence estimator: A uniformly most powerful invariant adaptive detection statistic," IEEE Trans. Signal Process., vol. 53, no. 2, pp. 427-438, Feb. 2005.
8. A. T. James, "Distributions of matrix variates and latent roots derived from normal samples," Annals Mathemat. Stat., vol. 35, pp. 475-501, Jun. 1964.
9. M. Kang and M.-S. Alouini, "Largest eigenvalue of complex Wishart matrices and performance analysis of MIMO MRC systems," IEEE J. Sel. Areas Commun., vol. 21, no. 3, pp. 418-426, Apr. 2003.
10. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, M. Abramowitz and I. A. Stegun, Eds., Dover, New York, Nov. 1970.
11. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 5th ed, A. Jeffrey, Ed. New York: Academic, 1994.