Performance Analysis of Order Statistic Constant False Alarm Rate (CFAR) Detectors in Generalized Rayleigh Environment
The performances of order statistic (OS) constant false alarm rate (CFAR) detectors are analyzed for non-Gaussian clutters modeled by heavy-tailed complex isotropic symmetric alpha-stable random processes whose amplitude is the generalized Rayleigh distribution. The detection and false alarm probabilities of the amplitude OS-CFAR detectors are presented assuming that the target signal is Rayleigh distributed. Exact closed-form solutions are derived for the special case of Cauchy-Rayleigh distribution where the characteristic exponent is 1. Numerical results are presented for detection and false alarm rates as functions of the generalized signal-to-noise ratio, reference window sizes, and rank order indexes. It is shown that the window size and rank order do not have significant effects on the performances. It is also shown that the amplitude detectors provide similar performances as the square-law detectors in the heavy-tailed clutter environment.
X. Xu et al., "Performance Analysis of Order Statistic Constant False Alarm Rate (CFAR) Detectors in Generalized Rayleigh Environment," Proceedings of SPIE, SPIE Optics & Photonics Conference, SPIE, Jan 2007.
The definitive version is available at https://doi.org/10.1117/12.734355
Electrical and Computer Engineering
Keywords and Phrases
CFAR; Rayleigh Distribution; Constant False Alarm Rate; Order Statistic
Article - Conference proceedings
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