Efficiency of Different GLR Test-statistics for Spatial Signal Detection
Authors: Olesya Bolkhovskaya, Alexander Maltsev
In this work the characteristics of spatial signal detec¬tion from an antenna array in various sample cases are investigated. Cases for a various number of available prior information about the received signal and the background noise are considered. The spatial difference between a signal and noise is only used. The performance characteristics and detecting curves are presented. All test-statistics are obtained on the basis of the generalized likelihood ratio (GLR). The received results are correct for a short and long sample.
Keywords: GLR test-statistic, detection task, generalized likelihood ratio, antenna array, detection curves, performance characteristics.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1079724Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1407
 A. L. Swindlehurst and P. Stoica "Maximum Likelihood Methods in Radar Array Signal Processing". Proceedings of IEEE, vol.86,NO.2, February 1998.
 S. M. Kay, Fundamentals of Statistical Signal Processing: Detection Theory, Prentice-Hall, 1998.
 Kwang June Sohn, Hongbin Li, Braham Himed: Parametric GLRT for Multichannel Adaptive Signal Detection. IEEE Transactions on Signal Processing 55(11), 2007.
 R. Klemm Principles of Space-Time Adaptive Processing. IEE Publishing, 2002.
 R. Klemm Applications of Space-Time Adaptive Processing, IEE Pub-lishing, 2004.
 L. Brennan and I. Reed, Theory of adaptive radar, IEEE Transactions on Aerospace and Electronic Systems, vol. AES-9, no. 2, March 1973
 O.V. Bolkhovskaya, A.A. Maltsev, K.V. Rodushkin "Comparative analysis of different statistics for spatial signal detecting in the short samples case". Radiophysics and quantum electronics, Vol 47, N 8, 2004.
 O.V. Bolkhovskaya, A.A. Maltsev "The performance of the GLRT for the spatial signals detection with a small number of observations", IEEE Signal Processing Letters, Oct. 2004.
 Bolkhovskaya, 0. V.; Mal'tsev, A. A. "Determination of Threshold Values of the Generalized Likelihood Ratio in the Problem of Detecting Partially Coherent Spatial Signals in the Case of Short Samples". Radiophysics and Quantum Electronics, Volume 45, Number 12 (2002) .
 Rodushkin K.V., Ph.D. Thesis, 2001.
 N.R.Goodman, "Statistical analysis based on a certain multivariate Gaussian distribution", Ann.Math.Stat., March, 1963, Vol.34.
 V.S. Pugatchev, "The theory of probabilities and mathematical statistics", Nauka, Moskwa, 1979, (in Russian).