Distribution-free detection under complex elliptically symmetric clutter distribution.

التفاصيل البيبلوغرافية
العنوان: Distribution-free detection under complex elliptically symmetric clutter distribution.
المؤلفون: Ollila, Esa, Tyler, David E.
المصدر: 2012 IEEE 7th Sensor Array & Multichannel Signal Processing Workshop (SAM); 1/ 1/2012, p413-416, 4p
مستخلص: We study the constant false alarm rate matched subspace detector (CFAR MSD) of a signal observed under additive noise following a complex elliptically symmetric (CES) distribution which include the class of compound-Gaussian (CG) distributions as special cases. We prove that the detector is distribution-free under the null (signal free) hypothesis and derive simple expressions for the probability of detection assuming CG-distributed clutter. The derived theoretical results are then illustrated by contrasting them with the performance of a practical adaptive detector which estimates the shape matrix (normalized clutter covariance matrix) from the set of secondary data using complex Tyler's M-estimator of scatter under small sample lengths. We also prove that the complex Tyler's M-estimator is the maximum likelihood estimator (MLE) of the shape matrix under the assumption that the secondary data are independent random vectors from a possibly different CES distributions but which share the same shape matrix parameter. [ABSTRACT FROM PUBLISHER]
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قاعدة البيانات: Complementary Index
الوصف
ردمك:9781467310703
DOI:10.1109/SAM.2012.6250525