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2013 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT) (2013)
Athens, Greece
Dec. 12, 2013 to Dec. 15, 2013
ISBN: 978-1-4799-4796-6
pp: 0
Valentine A. Aalo , Department of Computer & Electrical Engineering and Computer Science, Florida Atlantic University, Boca Raton, 33431, USA
Kostas P. Peppas , Laboratory of Mobile Communications, Institute of Informatics and Telecommunications, National Centre for Scientific Research “Demokritos”, Patriarhou Grigoriou & Neapoleos, Agia Paraskevi, 15310, Athens, Greece
George Efthymoglou , Department of Digital Systems, University of Piraeus, 80 Karaoli & Dimitriou Street, 18534, Greece
Mohammed Alwakeel , Sensor Networks and Cellular Systems (SNCS) Research Center, University of Tabuk, Saudi Arabia
Sami Alwakeel , Sensor Networks and Cellular Systems (SNCS) Research Center, University of Tabuk, Saudi Arabia
ABSTRACT
We analyze the performance of a cell averaging constant false alarm rate (CA-CFAR) receiver that operates in a heavy-tailed clutter environment that is modeled by an alpha-stable distribution. Stable distributions are usually characterized with known characteristic function but their probability distribution are not known in closed form except for some special cases of the characteristic exponent α. Therefore, previous performance studies of CFAR in alpha-stable clutter have been limited to only some very special cases of α that correspond to the Gaussian, Cauchy and Pearson distributions, for which the statistical distribution of the clutter is available in closed-form. In this paper, we derive the distribution of the receiver output for arbitrary values of α in terms of the Fox's H-function. The derived statistical distribution is useful in evaluating the false alarm and detection probabilities of the system.
INDEX TERMS
Clutter, detection probability, Alpha-stable distribution, characteristic exponent, Fox's H-function, Cell-Averaging CFAR, false alarm probability
CITATION
Valentine A. Aalo, Kostas P. Peppas, George Efthymoglou, Mohammed Alwakeel, Sami Alwakeel, "Performance of CA-CFAR receivers in alpha-stable clutter", 2013 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT), vol. 00, no. , pp. 0, 2013, doi:10.1109/ISSPIT.2013.6781867
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