@inproceedings{2f3364ab8a7d4a46bdc1743bfd2d7c4c,

title = "Distribution-free detection under complex elliptically symmetric clutter distribution",

abstract = "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.",

author = "Esa Ollila and Tyler, {David E.}",

year = "2012",

doi = "10.1109/SAM.2012.6250525",

language = "English (US)",

isbn = "9781467310710",

series = "Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop",

pages = "413--416",

booktitle = "2012 IEEE 7th Sensor Array and Multichannel Signal Processing Workshop, SAM 2012",

note = "2012 IEEE 7th Sensor Array and Multichannel Signal Processing Workshop, SAM 2012 ; Conference date: 17-06-2012 Through 20-06-2012",

}