Performance Evaluation of SOCA-CFAR Detectors in Weibull-Distributed Clutter Environments

Author(s)

Luna Alvarado, Maria Cecilia ; Almeida Garcia, Fernando Dario ; Jimenez Jimenez, Lenin Patricio ; Fraidenraich, Gustavo ; Iano, Yuzo

• Document type: Journal article
• Source: IEEE Geoscience and Remote Sensing Letters; v. 19, p. 5-pg., 2022-01-01.

Abstract

In this letter, we derive a novel exact expression for the probability of false alarm (PFA) and an approximate closed-form solution for the probability of detection (PD) of a smallest of cell-averaging constant false alarm rate (SOCA-CFAR) detector operating over Weibull-distributed clutter. For the analysis, we consider an exponentially distributed target and allow arbitrary values for the shape parameter of clutter interference. To the best of our knowledge, there are no exact or approximate performance evaluations for an SOCA-CFAR detector considering arbitrary values for the shape parameter of the Weibull interference samples (i.e., different from 1) contained within the CFAR window. Therefore, our analytical derivations generalize previous performance evaluation studies and take a small step toward a better understanding of more realistic SOCA-CFAR detectors. Moreover, we obtain exact formulations for the probability density function (PDF) and the cumulative distribution function (CDF) for a minimum of two sums of independent and identically distributed (i.i.d.) Weibull random variables. Numerical results indicate that the system performance improves as the shape parameter of the Weibull interference increases. The validity of all our expressions is confirmed via Monte Carlo simulations. (AU)

• FAPESP's process: 21/03923-9 - An improved framework for sums of Gaussian-class random variables with applications to radar and communication systems
• Grantee: Fernando Darío Almeida García
• Support Opportunities: Scholarships in Brazil - Post-Doctoral