Abstract
A generalized likelihood-ratio test (GLRT) is proposed for adaptively detecting a low rank signal in the presence of unknown strong low rank interference plus white Gaussian noise. This approach leads to a test which is closely related to the Principal Component Inverse (PCI) method of rapidly adaptive detection and extends the PCI method to the case where the training data is contaminated by strong signal components. The proposed method is computer simulated and compared to the standard PCI method, the clairvoyant receiver and matched filtering with the signal vector. Computer simulations indicate that the method performs well.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L.L. Scharf, “The SVD and Reduced Rank Signal Processing,” Technical report, Dept. of Electrical and Computer Engineering, University of Colorado, Boulder, CO, Oct. 1991.
R.T. Behrens, Subspace Signal Processing in Structured Noise, Ph.D. Thesis, University of Colorado, Boulder, CO., 1990.
D.W. Tufts, I.P. Kirsteins, and R. Kumaresan, “Data-Adaptive Detection of a Weak, Single-Frequency, Plane-Wave Signal in Noise and Strong, Unidirectional Interference,” In: Statistical Signal Processing, E.J. Wegman and J.G. Smith, ed., Marcel Dekker Inc., pp. 117–131, 1984.
I.P. Kirsteins and D.W. Tufts, “On the Probability Density of Signal-to-Noise Ratio in an Improved Detector,” Proc. IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 572–575, 1985.
R.J. Vaccaro, D.W. Tufts, and G.F. Boudreaux, “Advances in Principal Component Signal Processing,” In: SVD and Signal Processing, F. Deprettere, ed., Elsevier Science Publishers, The Netherlands, pp. 115–146, 1988.
I.P. Kirsteins and D.W. Tufts, “Rapidly Adaptive Nulling of Interference,” in Lecture Notes in Control and Information Sciences, Springer-Verlag, 1991.
I.P. Kirsteins, Analysis of Reduced-Rank Interference Cancellation, Ph.D. Thesis, University of Rhode Island, Kingston, R.I., 1991.
D.W. Tufts, R. Kumaresan, and I.P. Kirsteins, “Data Adaptive Signal Estimation by Singular-Value-Decomposition of a Data Matrix,” Proceedings of the IEEE, vol. 70, no. 6, pp.685–687, June 1982.
L.S. Reed, J.D. Mallet, and L.E. Brennan, “Rapid Convergence Rate in Adaptive Arrays,” IEEE Trans. Aerospace and Electronic Systems, Vol. AES-10, No. 6, pp. 863–885, Nov. 1974.
E.J. Kelly, “An Adaptive Detection Algorithm,” IEEE Trans. Aerospace and Electronic Systems, Vol. AES-23, No. 4, pp. 115–127, Nov. 1986.
K.R. Gabriel, “Least Squares Approximation of Matrices by Additive and Multiplicative Models,” Journal of Royal Statist. Soc. B, 40, No. 2, pp. 186–196, 1978.
H.V. Poor, An Introduction to Signal Detection and Estimation, Springer-Verlag, New York, 1988.
R.J. Muirhead, Aspects of Multivariate Statistical Theory, J. Wiley and Sons, 1982.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Kirsteins, I.P. (1993). A Reduced-Rank Generalized Likelihood-Ratio Test. In: Moura, J.M.F., Lourtie, I.M.G. (eds) Acoustic Signal Processing for Ocean Exploration. NATO ASI Series, vol 388. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1604-6_21
Download citation
DOI: https://doi.org/10.1007/978-94-011-1604-6_21
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4699-2
Online ISBN: 978-94-011-1604-6
eBook Packages: Springer Book Archive