CA-CFAR Detection Performance in Homogeneous Weibull Clutter

This letter presents a novel and exact formulation for the probability of detection of a cell-averaging, constant false-alarm rate (CFAR) radar system operating in a homogeneous Weibull clutter environment. We consider a realistic scenario with both target returns and clutter residues within the cel...

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Bibliographic Details
Published in:IEEE geoscience and remote sensing letters 2019-06, Vol.16 (6), p.887-891
Main Authors: Almeida Garcia, Fernando Dario, Flores Rodriguez, Andrea Carolina, Fraidenraich, Gustavo, Santos Filho, Jose Candido S.
Format: Article
Language:English
Subjects:
Bivariate analysis
Cell-averaging constant false-alarm rate (CA-CFAR)
Closed-form solutions
Clutter
Computer simulation
Constant false alarm rate
Detection
Detectors
Distribution
Distribution functions
Economic models
homogeneous environment
Mathematical analysis
Microsoft Windows
Monte Carlo simulation
Probability density function
Probability density functions
probability of detection (PD)
Probability theory
Radar
Radar detection
Statistical methods
Variation
Weibull-distributed clutter
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Summary:This letter presents a novel and exact formulation for the probability of detection of a cell-averaging, constant false-alarm rate (CFAR) radar system operating in a homogeneous Weibull clutter environment. We consider a realistic scenario with both target returns and clutter residues within the cell under test by the radar processing. In passing, we derive novel closed-form expressions for the probability density function and the cumulative distribution function of the sum of an exponentially fluctuating target embedded in Weibull clutter. The derived exact expressions are given in terms of both: 1) bivariate Fox H-function, for which we provide a portable and efficient MATHEMATICA code and 2) easily computable series representations. The validity of all expressions is confirmed via Monte Carlo simulation. The derived results are compared with the idealized Neyman-Pearson detector so as to quantify the CFAR losses, and they indicate that even a small change in the shape parameter of the clutter distribution can significantly affect the radar detection performance.
ISSN:1545-598X
1558-0571
DOI:10.1109/LGRS.2018.2885451